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On the basis property of the system of exponentials and trigonometric systems of sine and cosine functions in weighted grand Lebesgue spaces. (English. Russian original) Zbl 07908862

Mosc. Univ. Math. Bull. 79, No. 2, 85-97 (2024); translation from Vestn. Mosk. Univ., Ser. I 79, No. 2, 15-25 (2024).

MSC: 42C15 42A65 42A20 46E30 30B60

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Bounded weak solutions with Orlicz space data: an overview. (English) Zbl 07857653

Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 87-94 (2024).

Reviewer: Said El Manouni (Riyadh)

MSC: 35J70 35J25 35B45 46E30

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Tran, Minh-Phuong; Tran, The-Quang; Nguyen, Thanh-Nhan

Global bound on the gradient of solutions to \(p\)-Laplace type equations with mixed data. (English) Zbl 07844466

Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 4, 1394-1414 (2024).

MSC: 35J62 35J92 46E30 35B45

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Abdellaoui, Mohammed

Stability and existence results for a class of nonlinear parabolic equations with three lower order terms and measure data using Lorentz spaces. (English) Zbl 1536.35107

Ric. Mat. 73, No. 1, 51-112 (2024).

MSC: 35B45 35B35 35B65 35K20 35K92 35R06 28A12 46E30

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Ghosh, Abhishek; Tewary, Vivek

Pointwise and weighted Hessian estimates for Kolmogorov-Fokker-Planck-type operators. (English) Zbl 1536.35108

Ann. Mat. Pura Appl. (4) 203, No. 2, 663-701 (2024).

MSC: 35B45 35K65 35K70 35Q84 46E30

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Burchard, Almut; Dafni, Galia; Gibara, Ryan

Vanishing mean oscillation and continuity of rearrangements. (English) Zbl 1531.42043

Adv. Math. 437, Article ID 109379, 25 p. (2024).

MSC: 42B35 46E30 49Q20

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Allen, Brian

From \(L^p\) bounds to Gromov-Hausdorff convergence of Riemannian manifolds. (English) Zbl 1536.53094

Geom. Dedicata 218, No. 2, Paper No. 30, 22 p. (2024).

Reviewer: Armin Rainer (Wien)

MSC: 53C23 46E30 46E35

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Sukochev, Fedor; Yang, Fulin; Zanin, Dmitriy

Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus. arXiv:2408.13094

Preprint, arXiv:2408.13094 [math.FA] (2024).

MSC: 35A23 46L52 58B34 46E30

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Akbulut, Ali; Gadjiev, Tahir S.; Serbetci, Ayhan; Rustamov, Yasin I.

Regularity of solutions to nonlinear elliptic equations in generalized Morrey spaces. (English) Zbl 07833594

Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 43, No. 4, Math., 14-31 (2023).

MSC: 35B65 35B45 35J25 35K20 46E30

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Ahmed, I.; Fiorenza, A.; Formica, M. R.; Gogatishvili, A.; El Hamidi, A.; Rakotoson, J. M.

Quasilinear PDEs, interpolation spaces and Hölderian mappings. (English) Zbl 07773820

Anal. Math. 49, No. 4, 895-950 (2023).

MSC: 46M35 35J62 35B45 35D30 35J25 46E30 46B70

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Fang, Yuzhou; Zhang, Chao

Harnack inequality for the nonlocal equations with general growth. (English) Zbl 1523.35281

Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1479-1502 (2023).

Reviewer: Abimbola Abolarinwa (Lagos)

MSC: 35R11 35B45 35B65 35D30 47G20 46E30

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Avdonin, S. A.; Ivanov, S. A.

Density of zeros of the Cartwright class functions and the Helson-Szegő type condition. (English. Russian original) Zbl 1519.46019

Math. Notes 113, No. 2, 165-171 (2023); translation from Mat. Zametki 113, No. 2, 163-170 (2023).

MSC: 46E30 46B15 30B60

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Lord, Steven; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy

Singular traces. Volume 2: Trace formulas. 2nd corrected and expanded edition. (English) Zbl 1523.47002

De Gruyter Studies in Mathematics 46, 2. Berlin: De Gruyter (ISBN 978-3-11-070000-8/hbk; 978-3-11-070017-6/ebook; 978-3-11-070318-4/set). xl, 471 p. (2023).

Reviewer: Mixalis Anoussis (Samos)

MSC: 47-02 46B20 46E30 46L51 46L85 47B06 47B10 47G10 47L20 58B34 58J42

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Nguyen, Thanh-Nhan; Tran, Minh-Phuong; Tran, N.-T.-Nhu

Regularity estimates for stationary Stokes problem in some generalized function spaces. (English) Zbl 1504.35097

Z. Angew. Math. Phys. 74, No. 1, Paper No. 13, 24 p. (2023).

MSC: 35B45 35D30 35Q35 76D03 42B25 46E30

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Oh, Jehan; Ok, Jihoon

Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients. (English) Zbl 1529.35101

Math. Methods Appl. Sci. 45, No. 14, 8718-8736 (2022).

MSC: 35B45 35B65 35K59 35K65 46E30

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Lee, Mikyoung; Ok, Jihoon

Local estimates for fully nonlinear parabolic equations in weighted spaces. (English) Zbl 1529.35099

Math. Methods Appl. Sci. 45, No. 14, 8474-8486 (2022).

Reviewer: Ravi Shankar (Princeton)

MSC: 35B45 35B65 35K55 46E30

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Agler, Jim; McCarthy, John E.

A generalization of Hardy’s operator and an asymptotic Müntz-Szász theorem. (English) Zbl 07629330

Expo. Math. 40, No. 4, 920-930 (2022).

MSC: 47B91 46E30 30-XX

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Ryou, Donggeun

A variant of the \(\Lambda (p)\)-set problem in Orlicz spaces. (English) Zbl 1511.43004

Math. Z. 302, No. 4, 2545-2566 (2022).

Reviewer: Elijah Liflyand (Ramat-Gan)

MSC: 43A46 46B09 46E30

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Boukrouche, Mahdi; Merouani, Boubakeur; Zoubai, Fayrouz

On a nonlinear elasticity problem with friction and Sobolev spaces with variable exponents. (English) Zbl 07611940

Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 14, 16 p. (2022).

MSC: 74B20 70F40 46E30 35R35

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Ho, Kwok-Pun

Gradient estimates of parabolic Cauchy-Dirichlet problems on Morrey-Banach spaces. (English) Zbl 1502.35033

J. Elliptic Parabol. Equ. 8, No. 2, 743-766 (2022).

Reviewer: Dian K. Palagachev (Bari)

MSC: 35B45 35B65 35K20 35R05 42B20 42B35 46E30

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Tian, Hong; Zheng, Shenzhou

Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of \(p\)-growth. (English) Zbl 1493.35016

Rocky Mt. J. Math. 52, No. 2, 727-748 (2022).

Reviewer: Maria Alessandra Ragusa (Catania)

MSC: 35B45 35D30 35J25 35J92 46E30

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Vita, Stefano

Boundary regularity estimates in Hölder spaces with variable exponent. (English) Zbl 1491.35086

Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 166, 31 p. (2022).

MSC: 35B45 35B65 35J25 46E30

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Lee, Mikyoung

Weighted Sobolev regularity of viscosity solutions for fully nonlinear parabolic equations. (English) Zbl 1491.35083

East Asian Math. J. 38, No. 1, 129-141 (2022).

MSC: 35B45 35B65 35K55 46E30

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Atlas, Abdelghafour; Karami, Fahd; Meskine, Driss; Ouakrim, Youssef; Oubbih, Omar

A class of nonlinear parabolic systems having standard growth and \(L^1\) data. (English) Zbl 1492.35395

Nonlinear Anal., Real World Appl. 67, Article ID 103631, 27 p. (2022).

MSC: 35Q94 94A08 35K57 68U10 49M41 35B45 35B65 65M06 65N06 46E30 94-08 35R30

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Edoh, Ametana; Zakari, Djibibe Moussa; Koulinté, Aleda

Strongly generalized solution of a fractional problem of parabolic evolution of order-two in a plate with integral boundary conditions. (English) Zbl 1499.35632

Adv. Differ. Equ. Control Process. 26, 131-141 (2022).

MSC: 35R11 35K70 35B45 46E30 35D30 35B30

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Djibibe, Moussa Zakari; Soampa, Bangan; Tcharie, Kokou

Uniqueness of the solutions of nonlocal pluriparabolic fractional problems with weighted integral boundary conditions. (English) Zbl 1499.35366

Adv. Differ. Equ. Control Process. 26, 103-112 (2022).

MSC: 35K70 35B45 46E30 35D30 35B30

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Guliyev, V. S.; Omarova, M. N.

Estimates for operators on generalized weighted Orlicz-Morrey spaces and their applications to non-divergence elliptic equations. (English) Zbl 1489.35051

Positivity 26, No. 2, Paper No. 40, 27 p. (2022).

MSC: 35J25 35B45 45A05 46E30

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Aliyev, M. G.

On the properties of traces of functions from generalized Sobolev-type space. (English) Zbl 1499.46066

J. Contemp. Appl. Math. 12, No. 1, 27-38 (2022).

MSC: 46E35 46E30

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MacDonald, Sullivan Francis; Rodney, Scott

Bounded Weak Solutions of Degenerate \(p\)-Poisson Equations. arXiv:2210.12441

Preprint, arXiv:2210.12441 [math.AP] (2022).

MSC: 35B45 35D30 35J25 46E30

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Joe, Woo Jin; Kim, Seong Jin; Kim, Yun-Ho; Oh, Min Wook

Multiplicity of solutions for double phase equations with concave-convex nonlinearities. (English) Zbl 07907310

J. Appl. Anal. Comput. 11, No. 6, 2921-2946 (2021).

MSC: 35B45 35J20 35J62 46E30

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Acharyya, Soumyadip; Acharyya, Sudip Kumar; Bharati, Rakesh; Ray, A. Deb

Some algebraic and topological properties of rings of measurable functions. (English) Zbl 1520.54010

Houston J. Math. 47, No. 3, 633-657 (2021).

Reviewer: Pao-sheng Hsu (Columbia Falls)

MSC: 54C40 46E30

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Reena; Panwar, Anju

Existence of fixed point by using F-contraction and F-Suzuki contraction in modular function spaces. (English) Zbl 1509.47081

Bull. Math. Anal. Appl. 13, No. 1, 92-105 (2021).

MSC: 47H10 47H09 46E30 46A80

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Zelenko, Leonid

Erratum to: “Conditions of discreteness of the spectrum for Schrödinger operator and some optimization problems for capacity and measures”. (English) Zbl 1514.47072

Appl. Anal. Optim. 5, No. 3, 401 (2021).

MSC: 47F05 47B25 81Q10 90C10 90C27 91A12

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Saker, S. H.; Agarwal, R. P.

Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems. (English) Zbl 1499.42100

Appl. Anal. Discrete Math. 15, No. 2, 295-316 (2021).

MSC: 42B25 42B20 46E30 26D10 39A12

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Emelyanov, E. Y.; Marabeh, M. A. A.

On the Brezis-Lieb lemma and its extensions. (English) Zbl 1489.46026

Kusraev, Anatoly G. (ed.) et al., Operator theory and differential equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019. Cham: Birkhäuser. Trends Math., 25-35 (2021).

MSC: 46B42 46E30

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Ciosmak, Krzysztof J.

Optimal transport of vector measures. (English) Zbl 1478.49042

Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 230, 22 p. (2021).

Reviewer: Nicolò De Ponti (Trieste)

MSC: 49Q22 49Q20 46E30 90C25 28A50 60D05 46E40

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Ho, Kwok-Pun

Modular maximal estimates of Schrödinger equations. (English) Zbl 1472.35070

Funkc. Ekvacioj, Ser. Int. 64, No. 2, 119-135 (2021).

MSC: 35B45 35B65 35Q41 35R11 42B25 42B15 46E30

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Alfuraidan, M. R.; Khamsi, M. A.; Kozlowski, W. M.

On monotone mappings in modular function spaces. (English) Zbl 1472.47040

Cho, Yeol Je (ed.) et al., Advances in metric fixed point theory and applications. Singapore: Springer. 217-240 (2021).

MSC: 47H05 47H09 46E30 47H10

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Baasandorj, Sumiya; Byun, Sun-Sig; Lee, Ho-Sik

Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth. (English) Zbl 1479.35157

Proc. Am. Math. Soc. 149, No. 10, 4189-4206 (2021).

Reviewer: Iwona Chlebicka (Warszawa)

MSC: 35B45 35B65 35J25 35J62 35R05 46E30

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Azroul, Elhoussine; Benkirane, Abdelmoujib; Srati, Mohammed

Eigenvalue problem associated with nonhomogeneous integro-differential operators. (English) Zbl 1470.35248

J. Elliptic Parabol. Equ. 7, No. 1, 47-64 (2021).

MSC: 35P30 35R11 35J25 35J61 46E30 58E05

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Tian, Hong; Zheng, Shenzhou

The \(W^{1,2}_{( p,q )}\)-solvability for a class of fully nonlinear parabolic equations. (English) Zbl 1475.35091

J. Elliptic Parabol. Equ. 7, No. 1, 25-45 (2021).

Reviewer: Lubomira Softova (Salerno)

MSC: 35B45 35R05 46E30 35K20

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Yao, Fengping

Weighted Lorentz gradient estimates for a class of quasilinear elliptic equations with measure data. (English) Zbl 1470.35083

Bull. Iran. Math. Soc. 47, No. 3, 725-741 (2021).

MSC: 35B45 35J62 35R06 46E30

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Cruz-Uribe, David; Rodney, Scott

Bounded weak solutions to elliptic PDE with data in Orlicz spaces. (English) Zbl 1469.35067

J. Differ. Equations 297, 409-432 (2021).

MSC: 35B45 35D30 35J25 46E30

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Zelenko, Leonid

Conditions for discreteness of the spectrum to Schrödinger operator via non-increasing rearrangement, Lagrangian relaxation and perturbations. (English) Zbl 1496.47072

Integral Equations Oper. Theory 93, No. 3, Paper No. 37, 42 p. (2021).

Reviewer: Miyeon Kwon (Platteville)

MSC: 47F05 47B25 47D08 35P05 81Q10 90C10 90C27 91A12

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Domínguez Benavides, T.; Moshtaghioun, S. M.; Sadeghi Hafshejani, A.

Fixed points for several classes of mappings in variable Lebesgue spaces. (English) Zbl 1535.46030

Optimization 70, No. 5-6, 911-927 (2021).

MSC: 46E30 47H09 47H10

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Tran, Minh-Phuong; Nguyen, Thanh-Nhan

Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators. (English) Zbl 1468.35026

J. Math. Anal. Appl. 501, No. 1, Article ID 124084, 30 p. (2021).

Reviewer: Dian K. Palagachev (Bari)

MSC: 35B45 35D30 35J62 35B65 42B25 46E30

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Lord, Steven; Sukochev, Fedor; Zanin, Dmitriy

Singular traces. Volume 1. Theory. 2nd corrected and expanded edition. (English) Zbl 1495.47001

De Gruyter Studies in Mathematics 46, 1. Berlin: De Gruyter (ISBN 978-3-11-037779-8/hbk; 978-3-11-037805-4/ebook; 978-3-11-070318-4/set). xxix, 383 p. (2021).

Reviewer: Mixalis Anoussis (Samos)

MSC: 47-02 46B20 46E30 46L51 46L85 47B06 47B10 47G10 47L20 58B34 58J42

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Domínguez Benavides, T.; Japón, M. A.

Fixed point properties and reflexivity in variable Lebesgue spaces. (English) Zbl 1459.46017

J. Funct. Anal. 280, No. 6, Article ID 108896, 23 p. (2021).

Reviewer: Barry Turett (Rochester)

MSC: 46B20 46E30 47H09 47H10

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Abdalla, Amira M.; Salem, Hussein A. H.; Cichoń, Kinga

On positive solutions of a system of equations generated by Hadamard fractional operators. (English) Zbl 1482.26003

Adv. Difference Equ. 2020, Paper No. 267, 23 p. (2020).

MSC: 26A33 45G10 34A08 47N20 47H09 46E30

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Jafarov, Sadulla Z.

Approximation by means of Fourier series in Lebesgue spaces with variable exponent. (English) Zbl 1488.42016

Kazakh Math. J. 20, No. 3, 57-68 (2020).

MSC: 42A10 41A25 46E30

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Vynnyts’kyi, Bohdan Vasil’evich; Khats’, Ruslan Vasil’evich; Sheparovich, Iryna Bogdanovna

Unconditional bases of systems of Bessel functions. (English) Zbl 1488.42045

Eurasian Math. J. 11, No. 4, 76-86 (2020).

MSC: 42A65 41A05 30E05 30B60 33C10 34B30 41A30 30D10 30D20 44A15 46E30

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Soltanov, K.; Sert, U.

Certain results for a class of nonlinear functional spaces. (English) Zbl 1462.46043

Carpathian Math. Publ. 12, No. 1, 208-228 (2020).

MSC: 46E35 46E30 46A19

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Azroul, Elhoussine; Benkirane, Abdelmoujib; Srati, Mohammed

Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Nonlocal eigenvalue type problem. (English) Zbl 1445.35297

Adv. Oper. Theory 5, No. 4, 1599-1617 (2020).

MSC: 35R11 46E30 58E05 35J61 35P30

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Azroul, Elhoussine; Benkirane, Abdelmoujib; Srati, Mohammed

Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces. (English) Zbl 1445.35296

Adv. Oper. Theory 5, No. 4, 1350-1375 (2020).

MSC: 35R11 46E30 58E05 35J60 35J15

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Emelyanov, E. Y.; Marabeh, M. A. A.

Internal characterization of Brezis-Lieb spaces. (English) Zbl 1455.46021

Positivity 24, No. 3, 585-592 (2020).

MSC: 46B42 46E30

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Byun, Sun-Sig; Softova, Lubomira

Asymptotically regular operators in generalized Morrey spaces. (English) Zbl 1442.35177

Bull. Lond. Math. Soc. 52, No. 1, 64-76 (2020).

MSC: 35K20 35B65 35B45 35R05 46E30 35K40

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Acharyya, Sudip Kumar; Bag, Sagarmoy; Sack, Joshua

Ideals in rings and intermediate rings of measurable functions. (English) Zbl 1440.54009

J. Algebra Appl. 19, No. 2, Article ID 2050038, 19 p. (2020).

Reviewer: Tomasz Natkaniec (Gdańsk)

MSC: 54C40 46E30

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Neves, Júlio S.; Opic, Bohumír

Optimal local embeddings of Besov spaces involving only slowly varying smoothness. (English) Zbl 1451.46037

J. Approx. Theory 254, Article ID 105393, 25 p. (2020).

MSC: 46E35 46E30 46B70 26D10 26D15

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Breit, Dominic; Diening, Lars; Gmeineder, Franz

On the trace operator for functions of bounded \(\mathbb{A} \)-variation. (English) Zbl 1450.46017

Anal. PDE 13, No. 2, 559-594 (2020).

MSC: 46E35 26D10 26B30 46E30 49J45

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Gardella, Eusebio; Thiel, Hannes

Extending representations of Banach algebras to their biduals. (English) Zbl 1456.46042

Math. Z. 294, No. 3-4, 1341-1354 (2020).

Reviewer: Marina Haralampidou (Athína)

MSC: 46H15 46E30 46L05 47L10

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Jeddi, Jaauad; Kabil, Mustapha; Lazaiz, Samih

Some fixed point theorems in modular function spaces endowed with a graph. (English) Zbl 1480.47073

Abstr. Appl. Anal. 2020, Article ID 2135859, 7 p. (2020).

MSC: 47H10 47H09 47H04 46E30

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Rebah, D.

Steady vortex rings in a uniform flow and rearrangements of a function. (English) Zbl 1433.49064

Result. Math. 75, No. 1, Paper No. 23, 19 p. (2020).

MSC: 49S05 76B47 46E30 49J05

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Zelenko, Leonid

Conditions of discreteness of the spectrum for Schrödinger operator and some optimization problems for capacity and measures. (English) Zbl 1491.47036

Appl. Anal. Optim. 3, No. 2, 281-306 (2019); erratum ibid. 5, No. 3, 401 (2021).

MSC: 47F05 47B25 81Q10 90C10 90C27 91A12

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Abdellaoui, Mohammed; Azroul, Elhoussine; Ouaro, Stanislas; Traoré, Urbain

Nonlinear parabolic capacity and renormalized solutions for PDEs with diffuse measure data and variable exponent. (English) Zbl 1488.35167

An. Univ. Craiova, Ser. Mat. Inf. 46, No. 2, 269-297 (2019).

MSC: 35D30 35B45 35R06 46E30

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Laskowski, Włodzimierz; Nguyen, Hong Thai

Effective energy integral functionals for thin films on curl-free vector fields in the Orlicz-Sobolev space setting. (English) Zbl 1433.49018

Kosek, Marta (ed.), Function spaces XII. Selected papers based on the presentations at the 12th conference, Krakow, Poland, July 9–14, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 119, 259-277 (2019).

MSC: 49J45 74B20 74K35 74K15 46E30 46E35 47H30

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Kamińska, Anna

A note on type of weak-\(L^1\) and weak-\( \ell^1\) spaces. (English) Zbl 1443.46020

Kosek, Marta (ed.), Function spaces XII. Selected papers based on the presentations at the 12th conference, Krakow, Poland, July 9–14, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 119, 193-196 (2019).

MSC: 46E30 46B07 46A16

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Dubon, E.; San Antolín, A.

The Lebesgue differentiation theorem revisited. (English) Zbl 1429.26005

Expo. Math. 37, No. 3, 322-332 (2019).

MSC: 26A24 46E30

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Chiţescu, Ion; Sfetcu, Răzvan-Cornel

Linear and continuous operators on Köthe-Bochner spaces. (English) Zbl 1432.46024

Ann. Acad. Sci. Fenn., Math. 44, No. 2, 945-964 (2019).

Reviewer: José Mendoza (Madrid)

MSC: 46E40 46E30 47B38 47G10

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Bilalov, B. T.

The basis property of a perturbed system of exponentials in Morrey-type spaces. (English. Russian original) Zbl 1422.30004

Sib. Math. J. 60, No. 2, 249-271 (2019); translation from Sib. Mat. Zh. 60, No. 2, 323-350 (2019).

MSC: 30B60 30H99 46E30

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Bin Dehaish, B. A.

On monotone asymptotic pointwise nonexpansive mappings in modular function spaces. (English) Zbl 1475.47030

J. Funct. Spaces 2019, Article ID 2825610, 5 p. (2019).

MSC: 47H09 46E30 54H25

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Tian, Hong; Zheng, Shenzhou

Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths. (English) Zbl 1406.35074

J. Differ. Equations 266, No. 1, 352-405 (2019).

Reviewer: Wenhui Shi (Heidelberg)

MSC: 35B45 35B65 35K86 46E30 35K92

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Edmunds, David; Gogatishvili, Amiran; Kopaliani, Tengiz

Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\). (English) Zbl 1425.46017

J. Fourier Anal. Appl. 24, No. 6, 1539-1553 (2018).

Reviewer: George O. Okikiolu (London)

MSC: 46E30 42A20

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Békollé, David; Gonessa, Jocelyn; Nana, Cyrille

Bergman-Lorentz spaces on tube domains over symmetric cones. (English) Zbl 1401.32006

New York J. Math. 24, 902-928 (2018).

MSC: 32A25 32A36 32M15 46E30 46B70

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Byun, Sun-Sig; Park, Jung-Tae

Global weighted Orlicz estimates for parabolic measure data problems: application to estimates in variable exponent spaces. (English) Zbl 1395.35050

J. Math. Anal. Appl. 467, No. 2, 1194-1207 (2018).

MSC: 35B45 46E30 35K55

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Thangavelu, Sundaram; Dogga, Venku Naidu

\(L^{p}-L^{2}\) estimates for solutions of the wave equation associated to the Grushin operator. (English) Zbl 1391.35089

Adv. Pure Appl. Math. 9, No. 2, 85-92 (2018).

MSC: 35B45 42C10 46E30 47D09 35L80

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Emelyanov, Eduard; Marabeh, Mohammad

Brezis - Lieb spaces and an operator version of Brezis - Lieb’s lemma. arXiv:1805.09548

Preprint, arXiv:1805.09548 [math.FA] (2018).

MSC: 28A20 46A19 46E30

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Limanskii, D. V.

Generalizations of Boman’s theorem and a priori estimates for systems of minimal differential operators. (Russian. English summary) Zbl 07410354

Tr. Inst. Prikl. Mat. Mekh. 31, 118-133 (2017).

MSC: 47F05 35B45 46E30

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Eroglu, Ahmet; Omarova, Mehriban N.; Muradova, Shemsiyye A.

Elliptic equations with measurable coefficients in generalized weighted Morrey spaces. (English) Zbl 1390.35388

Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 43, No. 2, 197-213 (2017).

MSC: 35R05 35J15 35B45 35B65 46E30 46E35

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Honzlová Exnerová, Vendula; Malý, Jan; Martio, Olli

Modulus in Banach function spaces. (English) Zbl 1396.30010

Ark. Mat. 55, No. 1, 105-130 (2017).

Reviewer: Isabel Marrero (La Laguna)

MSC: 30L99 46E30

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Agud, L.; Calabuig, J. M.; Lajara, Sebastián; Sánchez-Pérez, E. A.

Differentiability of \(L^p\) of a vector measure and applications to the Bishop-Phelps-Bollobás property. (English) Zbl 1387.46016

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 3, 735-751 (2017).

Reviewer: Vladimir Kadets (Kharkiv)

MSC: 46B20 46E30 46G10

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Rutsky, D. V.

Vector-valued boundedness of harmonic analysis operators. (English. Russian original) Zbl 1372.42010

St. Petersbg. Math. J. 28, No. 6, 789-805 (2017); translation from Algebra Anal. 28, No. 6, 91-117 (2016).

MSC: 42B20 42B25 46E30

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Osękowski, Adam

Sharp weighted bounds for geometric maximal operators. (English) Zbl 1440.42090

Glasg. Math. J. 59, No. 3, 533-547 (2017).

MSC: 42B25 46E30 60G42

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Kiwerski, Tomasz; Tomaszewski, Jakub

Local approach to order continuity in Cesàro function spaces. (English) Zbl 1381.46019

J. Math. Anal. Appl. 455, No. 2, 1636-1654 (2017).

MSC: 46B42 46E30

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Guo, Shaoming

On the 1D cubic nonlinear Schrödinger equation in an almost critical space. (English) Zbl 1361.35165

J. Fourier Anal. Appl. 23, No. 1, 91-124 (2017).

MSC: 35Q55 46E30 35Q41 35B45

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Erzakova, Nina A.; Väth, Martin

On strongly condensing operators. (English) Zbl 06686403

Ann. Mat. Pura Appl. (4) 196, No. 1, 309-323 (2017).

MSC: 47H09 47B07 47B38 47H08 46E30

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Fathi, Max; Indrei, Emanuel; Ledoux, Michel

Quantitative logarithmic Sobolev inequalities and stability estimates. (English) Zbl 1355.60094

Discrete Contin. Dyn. Syst. 36, No. 12, 6835-6853 (2016).

MSC: 60H99 60J60 49Q20 46E30

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Delgado, O.; Sánchez Pérez, E. A.

Optimal extensions for \(p\)th power factorable operators. (English) Zbl 1364.46025

Mediterr. J. Math. 13, No. 6, 4281-4303 (2016).

MSC: 46E30 46G10 47B38

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Byun, Sun-Sig; Palagachev, Dian K.; Shin, Pilsoo

Sobolev-Morrey regularity of solutions to general quasilinear elliptic equations. (English) Zbl 1352.35050

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 147, 176-190 (2016).

MSC: 35J62 35D30 35B65 35R05 35B45 35J92 46E30 49N60

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Alfuraidan, Monther Rashed

On Reich fixed point theorem of \(G\)-contraction mappings on modular function spaces. (English) Zbl 1477.47047

J. Nonlinear Sci. Appl. 9, No. 6, 4600-4606 (2016).

MSC: 47H10 47H04 47H09 46E30

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Los’, V. M.

Anisotropic Hörmander spaces on the lateral surface of a cylinder. (English. Ukrainian original) Zbl 1364.46031

J. Math. Sci., New York 217, No. 4, 456-467 (2016); translation from Neliniĭni Kolyvannya 18, No. 2, 226-237 (2015).

MSC: 46E35 46E30 46B70

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Talenti, Giorgio

The art of rearranging. (English) Zbl 1364.35006

Milan J. Math. 84, No. 1, 105-157 (2016).

Reviewer: Bernhard Kawohl (Köln)

MSC: 35-02 46E30 35A23 35B45 35J25 46E35 49J40

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Breit, Dominic

The \(\mathcal{A}\)-Stokes approximation for non-stationary problems. (English) Zbl 1347.35191

Q. J. Math. 67, No. 2, 201-231 (2016).

Reviewer: Gelu Paşa (Bucureşti)

MSC: 35Q30 35B20 46E30 46E35 35R09 76D07

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Moussa, A.

Some variants of the classical Aubin-Lions lemma. (English) Zbl 1376.46015

J. Evol. Equ. 16, No. 1, 65-93 (2016).

Reviewer: Martin Väth (Prague)

MSC: 46B50 46E30 35J20 35J70

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Byun, Sun-Sig; Ok, Jihoon; Palagachev, Dian K.; Softova, Lubomira G.

Parabolic systems with measurable coefficients in weighted Orlicz spaces. (English) Zbl 1336.35183

Commun. Contemp. Math. 18, No. 2, Article ID 1550018, 19 p. (2016).

Reviewer: Vicenţiu D. Rădulescu (Craiova)

MSC: 35K40 35R05 35B45 35B65 46E30

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Byun, Sun-Sig; Palagachev, Dian K.; Softova, Lubomira G.

Global gradient estimates in weighted Lebesgue spaces for parabolic operators. (English) Zbl 1334.35077

Ann. Acad. Sci. Fenn., Math. 41, No. 1, 67-83 (2016).

MSC: 35K20 35R05 35B65 35B45 46E30 35K40 42B25 74E30

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Vynnyts’kyi, Bohdan V.; Khats’, Ruslan V.

On the completeness and minimality of sets of Bessel functions in weighted \(L^2\)-spaces. (English) Zbl 1463.30015

Eurasian Math. J. 6, No. 1, 123-131 (2015).

MSC: 30B60 33C10 34B30 42A65 30D10 30D20 44A15 46E30

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Full Text: MNR

Krasniqi, Xhevat Z.

Rest bounded second variation sequences and \({p}\)-th power integrability of some functions related to sums of formal trigonometric series. (English) Zbl 1340.42014

Acta Math. Acad. Paedagog. Nyházi. (N.S.) 31, No. 2, 249-257 (2015).

MSC: 42A32 46E30

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Byun, Sun-Sig; Kwon, Hun; So, Hyoungsuk; Wang, Lihe

Nonlinear gradient estimates for elliptic equations in quasiconvex domains. (English) Zbl 1329.35091

Calc. Var. Partial Differ. Equ. 54, No. 2, 1425-1453 (2015).

Reviewer: Dian K. Palagachev (Bari)

MSC: 35B65 35J25 35J60 35R05 46E30 35B45

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Bonheure, Denis; Obersnel, Franco

Optimal profiles in a phase-transition model with a saturating flux. (English) Zbl 1327.35126

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 334-357 (2015).

MSC: 35J93 26D10 35B06 35J20 35J62 46E35 49J45 49Q20 53A10

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Yurt, Hasan; Guven, Ali

Multivariate approximation theorems in weighted Lorentz spaces. (English) Zbl 1321.41014

Mediterr. J. Math. 12, No. 3, 863-876 (2015).

MSC: 41A17 41A25 42A10 46E30

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Found 617 Documents (Results 1–100)

On the basis property of the system of exponentials and trigonometric systems of sine and cosine functions in weighted grand Lebesgue spaces. (English. Russian original) Zbl 07908862

Bounded weak solutions with Orlicz space data: an overview. (English) Zbl 07857653

Global bound on the gradient of solutions to \(p\)-Laplace type equations with mixed data. (English) Zbl 07844466

Stability and existence results for a class of nonlinear parabolic equations with three lower order terms and measure data using Lorentz spaces. (English) Zbl 1536.35107

Pointwise and weighted Hessian estimates for Kolmogorov-Fokker-Planck-type operators. (English) Zbl 1536.35108

Vanishing mean oscillation and continuity of rearrangements. (English) Zbl 1531.42043

From \(L^p\) bounds to Gromov-Hausdorff convergence of Riemannian manifolds. (English) Zbl 1536.53094

Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus. arXiv:2408.13094

Regularity of solutions to nonlinear elliptic equations in generalized Morrey spaces. (English) Zbl 07833594

Quasilinear PDEs, interpolation spaces and Hölderian mappings. (English) Zbl 07773820

Harnack inequality for the nonlocal equations with general growth. (English) Zbl 1523.35281

Density of zeros of the Cartwright class functions and the Helson-Szegő type condition. (English. Russian original) Zbl 1519.46019

Singular traces. Volume 2: Trace formulas. 2nd corrected and expanded edition. (English) Zbl 1523.47002

Regularity estimates for stationary Stokes problem in some generalized function spaces. (English) Zbl 1504.35097

Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients. (English) Zbl 1529.35101

Local estimates for fully nonlinear parabolic equations in weighted spaces. (English) Zbl 1529.35099

A generalization of Hardy’s operator and an asymptotic Müntz-Szász theorem. (English) Zbl 07629330

A variant of the \(\Lambda (p)\)-set problem in Orlicz spaces. (English) Zbl 1511.43004

On a nonlinear elasticity problem with friction and Sobolev spaces with variable exponents. (English) Zbl 07611940

Gradient estimates of parabolic Cauchy-Dirichlet problems on Morrey-Banach spaces. (English) Zbl 1502.35033

Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of \(p\)-growth. (English) Zbl 1493.35016

Boundary regularity estimates in Hölder spaces with variable exponent. (English) Zbl 1491.35086

Weighted Sobolev regularity of viscosity solutions for fully nonlinear parabolic equations. (English) Zbl 1491.35083

A class of nonlinear parabolic systems having standard growth and \(L^1\) data. (English) Zbl 1492.35395

Strongly generalized solution of a fractional problem of parabolic evolution of order-two in a plate with integral boundary conditions. (English) Zbl 1499.35632

Uniqueness of the solutions of nonlocal pluriparabolic fractional problems with weighted integral boundary conditions. (English) Zbl 1499.35366

Estimates for operators on generalized weighted Orlicz-Morrey spaces and their applications to non-divergence elliptic equations. (English) Zbl 1489.35051

On the properties of traces of functions from generalized Sobolev-type space. (English) Zbl 1499.46066

Bounded Weak Solutions of Degenerate \(p\)-Poisson Equations. arXiv:2210.12441

Multiplicity of solutions for double phase equations with concave-convex nonlinearities. (English) Zbl 07907310

Some algebraic and topological properties of rings of measurable functions. (English) Zbl 1520.54010

Existence of fixed point by using F-contraction and F-Suzuki contraction in modular function spaces. (English) Zbl 1509.47081

Erratum to: “Conditions of discreteness of the spectrum for Schrödinger operator and some optimization problems for capacity and measures”. (English) Zbl 1514.47072

Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems. (English) Zbl 1499.42100

On the Brezis-Lieb lemma and its extensions. (English) Zbl 1489.46026

Optimal transport of vector measures. (English) Zbl 1478.49042

Modular maximal estimates of Schrödinger equations. (English) Zbl 1472.35070

On monotone mappings in modular function spaces. (English) Zbl 1472.47040

Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth. (English) Zbl 1479.35157

Eigenvalue problem associated with nonhomogeneous integro-differential operators. (English) Zbl 1470.35248

The \(W^{1,2}_{( p,q )}\)-solvability for a class of fully nonlinear parabolic equations. (English) Zbl 1475.35091

Weighted Lorentz gradient estimates for a class of quasilinear elliptic equations with measure data. (English) Zbl 1470.35083

Bounded weak solutions to elliptic PDE with data in Orlicz spaces. (English) Zbl 1469.35067

Conditions for discreteness of the spectrum to Schrödinger operator via non-increasing rearrangement, Lagrangian relaxation and perturbations. (English) Zbl 1496.47072

Fixed points for several classes of mappings in variable Lebesgue spaces. (English) Zbl 1535.46030

Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators. (English) Zbl 1468.35026

Singular traces. Volume 1. Theory. 2nd corrected and expanded edition. (English) Zbl 1495.47001

Fixed point properties and reflexivity in variable Lebesgue spaces. (English) Zbl 1459.46017

On positive solutions of a system of equations generated by Hadamard fractional operators. (English) Zbl 1482.26003

Approximation by means of Fourier series in Lebesgue spaces with variable exponent. (English) Zbl 1488.42016

Unconditional bases of systems of Bessel functions. (English) Zbl 1488.42045

Certain results for a class of nonlinear functional spaces. (English) Zbl 1462.46043

Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Nonlocal eigenvalue type problem. (English) Zbl 1445.35297

Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces. (English) Zbl 1445.35296

Internal characterization of Brezis-Lieb spaces. (English) Zbl 1455.46021

Asymptotically regular operators in generalized Morrey spaces. (English) Zbl 1442.35177

Ideals in rings and intermediate rings of measurable functions. (English) Zbl 1440.54009

Optimal local embeddings of Besov spaces involving only slowly varying smoothness. (English) Zbl 1451.46037

On the trace operator for functions of bounded \(\mathbb{A} \)-variation. (English) Zbl 1450.46017

Extending representations of Banach algebras to their biduals. (English) Zbl 1456.46042

Some fixed point theorems in modular function spaces endowed with a graph. (English) Zbl 1480.47073

Steady vortex rings in a uniform flow and rearrangements of a function. (English) Zbl 1433.49064

Conditions of discreteness of the spectrum for Schrödinger operator and some optimization problems for capacity and measures. (English) Zbl 1491.47036

Nonlinear parabolic capacity and renormalized solutions for PDEs with diffuse measure data and variable exponent. (English) Zbl 1488.35167

Effective energy integral functionals for thin films on curl-free vector fields in the Orlicz-Sobolev space setting. (English) Zbl 1433.49018

A note on type of weak-\(L^1\) and weak-\( \ell^1\) spaces. (English) Zbl 1443.46020

The Lebesgue differentiation theorem revisited. (English) Zbl 1429.26005

Linear and continuous operators on Köthe-Bochner spaces. (English) Zbl 1432.46024

The basis property of a perturbed system of exponentials in Morrey-type spaces. (English. Russian original) Zbl 1422.30004

On monotone asymptotic pointwise nonexpansive mappings in modular function spaces. (English) Zbl 1475.47030

Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths. (English) Zbl 1406.35074

Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\). (English) Zbl 1425.46017

Bergman-Lorentz spaces on tube domains over symmetric cones. (English) Zbl 1401.32006

Global weighted Orlicz estimates for parabolic measure data problems: application to estimates in variable exponent spaces. (English) Zbl 1395.35050