Petteri Harjulehto - Author Profile

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Harjulehto, Petteri

Author ID:	harjulehto.petteri
Published as:	Harjulehto, Petteri; Harjulehto, P.
External Links:	MGP

Documents Indexed:	78 Publications since 2002, including 2 Books and 8 Additional arXiv Preprints
Co-Authors:	43 Co-Authors with 74 Joint Publications
	546 Co-Co-Authors

all top 5

Co-Authors

4	single-authored
47	Hästö, Peter A.
13	Hurri-Syrjānen, Ritva
9	Latvala, Visa
7	Koskenoja, Mika
6	Lukkari, Teemu
4	Eleuteri, Michela
4	Karppinen, Arttu
4	Toivanen, Olli
3	Kinnunen, Juha
3	Shimomura, Tetsu
3	Varonen, Susanna
2	Diening, Lars
2	Juusti, Jonne
2	Kapulainen, Juha
2	Klén, Riku
2	Marola, Niko
2	Mizuta, Yoshihiro
2	Pere, Mikko
1	Adamowicz, Tomasz
1	Almeida, Alexandre
1	Baruah, Debangana
1	Benyaiche, Allami
1	Bertazzoni, Giacomo
1	Crespo-Blanco, Ángel
1	Futamura, Toshihide
1	Gasiński, Leszek
1	Gurka, Petr
1	Kuusi, Tuomo
1	Lê Văn Út
1	Lee, Mikyoung
1	Martio, Olli
1	Nekvinda, Aleš
1	Nuortio, Matti
1	Parviainen, Mikko
1	Rogovin, Sari
1	Růžička, Michael
1	Słabuszewski, Artur
1	Tiirola, Juha
1	Torricelli, Andrea
1	Tuhkanen, Katja
1	Vähäkangas, Antti V.
1	Winkert, Patrick
1	Yoshihiro, Mizuta

all top 5

Serials

6	Journal of Mathematical Analysis and Applications
4	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4	Annales Academiae Scientiarum Fennicae. Mathematica
2	Journal of Differential Equations
2	Manuscripta Mathematica
2	Real Analysis Exchange
2	Zeitschrift für Analysis und ihre Anwendungen
2	Publicacions Matemàtiques
2	Forum Mathematicum
2	Revista Matemática Complutense
2	Complex Variables and Elliptic Equations
2	Lecture Notes in Mathematics
1	Annali di Matematica Pura ed Applicata. Serie Quarta
1	Collectanea Mathematica
1	Czechoslovak Mathematical Journal
1	Functiones et Approximatio. Commentarii Mathematici
1	Illinois Journal of Mathematics
1	Journal of Functional Analysis
1	Mathematische Nachrichten
1	Mathematica Scandinavica
1	Mathematische Zeitschrift
1	Proceedings of the American Mathematical Society
1	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1	Applied Mathematics Letters
1	Mathematica Bohemica
1	Journal de Mathématiques Pures et Appliquées. Neuvième Série
1	Potential Analysis
1	Calculus of Variations and Partial Differential Equations
1	Georgian Mathematical Journal
1	Nonlinear Studies
1	Journal of Inequalities and Applications
1	Mathematical Inequalities & Applications
1	Mathematical Reports
1	Computational Methods and Function Theory
1	Journal of Analysis and Applications
1	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1	Journal of Function Spaces and Applications
1	The Australian Journal of Mathematical Analysis and Applications
1	Boundary Value Problems
1	Complex Analysis and Operator Theory
1	Inverse Problems and Imaging
1	Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
1	Journal of Function Spaces
1	Mathematics in Engineering
1	Annales Fennici Mathematici

all top 5

Fields

59	Functional analysis (46-XX)
27	Partial differential equations (35-XX)
19	Real functions (26-XX)
19	Calculus of variations and optimal control; optimization (49-XX)
18	Harmonic analysis on Euclidean spaces (42-XX)
16	Potential theory (31-XX)
5	Measure and integration (28-XX)
4	Operator theory (47-XX)
4	Information and communication theory, circuits (94-XX)
2	Functions of a complex variable (30-XX)
1	Numerical analysis (65-XX)
1	Computer science (68-XX)
1	Fluid mechanics (76-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

64 Publications have been cited 3,654 times in 2,374 Documents	Cited by ▼	Year ▼
Lebesgue and Sobolev spaces with variable exponents. Zbl 1222.46002 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael	1,717	2011
Orlicz spaces and generalized Orlicz spaces. Zbl 1436.46002 Harjulehto, Petteri; Hästö, Peter	278	2019
Overview of differential equations with non-standard growth. Zbl 1188.35072 Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti	237	2010
Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036 Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli	91	2017
The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. Zbl 1120.46016 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna	90	2006
Critical variable exponent functionals in image restoration. Zbl 1260.94012 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O.	79	2013
A new class of double phase variable exponent problems: existence and uniqueness. Zbl 1489.35041 Crespo-Blanco, Ángel; Gasiński, Leszek; Harjulehto, Petteri; Winkert, Patrick	76	2022
Generalized Orlicz spaces and related PDE. Zbl 1360.46029 Harjulehto, Petteri; Hästö, Peter; Klén, Riku	69	2016
Maximal functions in variable exponent spaces: limiting cases of the exponent. Zbl 1180.42010 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Yoshihiro, Mizuta; Shimomura, Tetsu	69	2009
Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. Zbl 1142.49007 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa	63	2008
Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator. Zbl 1072.42016 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko	59	2005
An overview of variable exponent Lebesgue and Sobolev spaces. Zbl 1046.46028 Harjulehto, Petteri; Hästö, Peter	45	2003
Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. Zbl 1316.42018 Adamowicz, Tomasz; Harjulehto, Petteri; Hästö, Peter	42	2015
Variable exponent Sobolev spaces with zero boundary values. Zbl 1174.46322 Harjulehto, Petteri	38	2007
Hardy’s inequality in a variable exponent Sobolev space. Zbl 1096.46017 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika	38	2005
Sobolev embeddings in metric measure spaces with variable dimension. Zbl 1109.46037 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa	37	2006
Bessel potential spaces with variable exponent. Zbl 1129.46025 Gurka, Petr; Harjulehto, Petteri; Nekvinda, Aleš	37	2007
Sobolev inequalities with variable exponent attaining the values 1 and \(n\). Zbl 1163.46022 Harjulehto, Petteri; Hästö, Peter	35	2008
Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\). Zbl 1078.46021 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna	33	2003
Unbounded supersolutions of nonlinear equations with nonstandard growth. Zbl 1161.35020 Harjulehto, Petteri; Kinnunen, Juha; Lukkari, Teemu	31	2007
Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. Zbl 1482.46034 Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung	30	2021
Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions. Zbl 1403.49034 Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu	30	2018
Variable exponent Sobolev spaces on metric measure spaces. Zbl 1140.46013 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko	29	2006
Boundary regularity under generalized growth conditions. Zbl 1420.49041 Harjulehto, Petteri; Hästö, Peter	28	2019
An obstacle problem and superharmonic functions with nonstandard growth. Zbl 1130.31004 Harjulehto, P.; Hästö, P.; Koskenoja, M.; Lukkari, T.; Marola, N.	26	2007
Harnack’s inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\). Zbl 1204.46021 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa	24	2009
Harnack’s inequality for quasiminimizers with nonstandard growth conditions. Zbl 1145.49023 Harjulehto, Petteri; Kuusi, Tuomo; Lukkari, Teemu; Marola, Niko; Parviainen, Mikko	23	2008
A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces. Zbl 1072.46021 Harjulehto, Petteri; Hästö, Peter	22	2004
The Riesz potential in generalized Orlicz spaces. Zbl 1412.46041 Harjulehto, Petteri; Hästö, Peter	21	2017
Global regularity and stability of solutions to obstacle problems with nonstandard growth. Zbl 1272.49013 Eleuteri, Michela; Harjulehto, Petteri; Lukkari, Teemu	19	2013
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth. Zbl 1455.35088 Benyaiche, Allami; Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu	19	2021
Lebesgue points in variable exponent spaces. Zbl 1079.46022 Harjulehto, Petteri; Hästö, Peter	18	2004
Properties of capacities in variable exponent Sobolev spaces. Zbl 1143.31003 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika	18	2007
Double phase image restoration. Zbl 1472.49026 Harjulehto, Petteri; Hästö, Peter	17	2021
Capacities in generalized Orlicz spaces. Zbl 1409.46024 Baruah, Debangana; Harjulehto, Petteri; Hästö, Peter	17	2018
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. Zbl 1310.47069 Almeida, A.; Harjulehto, P.; Hästö, P.; Lukkari, T.	16	2015
The Dirichlet energy integral on intervals in variable exponent Sobolev spaces. Zbl 1046.46027 Harjulehto, P.; Hästö, P.; Koskenoja, M.	11	2003
The strong minimum principle for quasisuperminimizers of non-standard growth. Zbl 1251.49028 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O.	11	2011
Sobolev extension domains on metric spaces of homogeneous type. Zbl 1082.46024 Harjulehto, Petteri	8	2002
Fine topology of variable exponent energy superminimizers. Zbl 1152.31005 Harjulehto, Petteri; Latvala, Visa	8	2008
Global regularity and stability of solutions to elliptic equations with nonstandard growth. Zbl 1232.35030 Eleuteri, Michela; Harjulehto, Petteri; Lukkari, Teemu	8	2011
On the (\(1,p\))-Poincaré inequality. Zbl 1287.46029 Harjulehto, Petteri; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V.	7	2012
Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023 Harjulehto, Petteri; Hästö, Peter; Martio, Olli	7	2004
Traces and Sobolev extension domains. Zbl 1113.46027 Harjulehto, Petteri	7	2006
On a \((q,p)\)-Poincaré inequality. Zbl 1130.46017 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	7	2008
Uniform convexity and associate spaces. Zbl 1465.46032 Harjulehto, Petteri; Hästö, Peter	6	2018
An embedding into an Orlicz space for \(L^1_1\)-functions from irregular domains. Zbl 1352.46031 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	5	2015
Extension in generalized Orlicz spaces. Zbl 1457.46038 Harjulehto, Petteri; Hästö, Peter	5	2019
Hölder quasicontinuity in variable exponent Sobolev spaces. Zbl 1132.46024 Harjulehto, Petteri; Kinnunen, Juha; Tuhkanen, Katja	5	2007
An embedding into an Orlicz space for irregular John domains. Zbl 1451.46035 Harjulehto, Petteri; Hurri-Syrjänen, Ritva; Kapulainen, Juha	4	2014
Lebesgue points in variable exponent Sobolev spaces on metric measure spaces. Zbl 1199.46079 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa	4	2004
Variable exponent spaces on metric measure spaces. Zbl 1189.46027 Futamura, Toshihide; Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu	4	2009
Sharp growth conditions for boundedness of maximal function in generalized Orlicz spaces. Zbl 1495.46020 Harjulehto, Petteri; Karppinen, Arttu	4	2022
Differentiation bases for Sobolev functions on metric spaces. Zbl 1074.46023 Harjulehto, Petteri; Kinnunen, Juha	3	2004
Embeddings into Orlicz spaces for functions from unbounded irregular domains. Zbl 1433.31003 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	3	2019
A variant of the Geman-McClure model for image restoration. Zbl 1268.94007 Harjulehto, Petteri; Latvala, Visa; Toivanen, Olli	3	2013
Iterated maximal functions in variable exponent Lebesgue spaces. Zbl 1230.46025 Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu	3	2011
Pointwise estimates to the modified Riesz potential. Zbl 1407.31004 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	3	2018
On Choquet integrals and Poincaré-Sobolev inequalities. Zbl 1518.46024 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	2	2023
Point-wise behavior of the Geman-McClure and the Hebert-Leahy image restoration models. Zbl 1359.94034 Harjulehto, Petteri; Hästö, Peter; Tiirola, Juha	1	2015
Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian. Zbl 1254.35070 Harjulehto, P.; Hästö, P.; Latvala, V.	1	2011
The Kellogg property under generalized growth conditions. Zbl 1523.35142 Harjulehto, Petteri; Juusti, Jonne	1	2022
Estimates for the variable order Riesz potential with applications. Zbl 07760598 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	1	2023
Bloch estimates in non-doubling generalized Orlicz spaces. Zbl 1536.49016 Harjulehto, Petteri; Hästö, Peter; Juusti, Jonne	1	2023
On Choquet integrals and Poincaré-Sobolev inequalities. Zbl 1518.46024 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	2	2023
Estimates for the variable order Riesz potential with applications. Zbl 07760598 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	1	2023
Bloch estimates in non-doubling generalized Orlicz spaces. Zbl 1536.49016 Harjulehto, Petteri; Hästö, Peter; Juusti, Jonne	1	2023
A new class of double phase variable exponent problems: existence and uniqueness. Zbl 1489.35041 Crespo-Blanco, Ángel; Gasiński, Leszek; Harjulehto, Petteri; Winkert, Patrick	76	2022
Sharp growth conditions for boundedness of maximal function in generalized Orlicz spaces. Zbl 1495.46020 Harjulehto, Petteri; Karppinen, Arttu	4	2022
The Kellogg property under generalized growth conditions. Zbl 1523.35142 Harjulehto, Petteri; Juusti, Jonne	1	2022
Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. Zbl 1482.46034 Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung	30	2021
The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth. Zbl 1455.35088 Benyaiche, Allami; Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu	19	2021
Double phase image restoration. Zbl 1472.49026 Harjulehto, Petteri; Hästö, Peter	17	2021
Orlicz spaces and generalized Orlicz spaces. Zbl 1436.46002 Harjulehto, Petteri; Hästö, Peter	278	2019
Boundary regularity under generalized growth conditions. Zbl 1420.49041 Harjulehto, Petteri; Hästö, Peter	28	2019
Extension in generalized Orlicz spaces. Zbl 1457.46038 Harjulehto, Petteri; Hästö, Peter	5	2019
Embeddings into Orlicz spaces for functions from unbounded irregular domains. Zbl 1433.31003 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	3	2019
Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions. Zbl 1403.49034 Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu	30	2018
Capacities in generalized Orlicz spaces. Zbl 1409.46024 Baruah, Debangana; Harjulehto, Petteri; Hästö, Peter	17	2018
Uniform convexity and associate spaces. Zbl 1465.46032 Harjulehto, Petteri; Hästö, Peter	6	2018
Pointwise estimates to the modified Riesz potential. Zbl 1407.31004 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	3	2018
Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036 Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli	91	2017
The Riesz potential in generalized Orlicz spaces. Zbl 1412.46041 Harjulehto, Petteri; Hästö, Peter	21	2017
Generalized Orlicz spaces and related PDE. Zbl 1360.46029 Harjulehto, Petteri; Hästö, Peter; Klén, Riku	69	2016
Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. Zbl 1316.42018 Adamowicz, Tomasz; Harjulehto, Petteri; Hästö, Peter	42	2015
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. Zbl 1310.47069 Almeida, A.; Harjulehto, P.; Hästö, P.; Lukkari, T.	16	2015
An embedding into an Orlicz space for \(L^1_1\)-functions from irregular domains. Zbl 1352.46031 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	5	2015
Point-wise behavior of the Geman-McClure and the Hebert-Leahy image restoration models. Zbl 1359.94034 Harjulehto, Petteri; Hästö, Peter; Tiirola, Juha	1	2015
An embedding into an Orlicz space for irregular John domains. Zbl 1451.46035 Harjulehto, Petteri; Hurri-Syrjänen, Ritva; Kapulainen, Juha	4	2014
Critical variable exponent functionals in image restoration. Zbl 1260.94012 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O.	79	2013
Global regularity and stability of solutions to obstacle problems with nonstandard growth. Zbl 1272.49013 Eleuteri, Michela; Harjulehto, Petteri; Lukkari, Teemu	19	2013
A variant of the Geman-McClure model for image restoration. Zbl 1268.94007 Harjulehto, Petteri; Latvala, Visa; Toivanen, Olli	3	2013
On the (\(1,p\))-Poincaré inequality. Zbl 1287.46029 Harjulehto, Petteri; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V.	7	2012
Lebesgue and Sobolev spaces with variable exponents. Zbl 1222.46002 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael	1,717	2011
The strong minimum principle for quasisuperminimizers of non-standard growth. Zbl 1251.49028 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O.	11	2011
Global regularity and stability of solutions to elliptic equations with nonstandard growth. Zbl 1232.35030 Eleuteri, Michela; Harjulehto, Petteri; Lukkari, Teemu	8	2011
Iterated maximal functions in variable exponent Lebesgue spaces. Zbl 1230.46025 Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu	3	2011
Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian. Zbl 1254.35070 Harjulehto, P.; Hästö, P.; Latvala, V.	1	2011
Overview of differential equations with non-standard growth. Zbl 1188.35072 Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti	237	2010
Maximal functions in variable exponent spaces: limiting cases of the exponent. Zbl 1180.42010 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Yoshihiro, Mizuta; Shimomura, Tetsu	69	2009
Harnack’s inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\). Zbl 1204.46021 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa	24	2009
Variable exponent spaces on metric measure spaces. Zbl 1189.46027 Futamura, Toshihide; Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu	4	2009
Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. Zbl 1142.49007 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa	63	2008
Sobolev inequalities with variable exponent attaining the values 1 and \(n\). Zbl 1163.46022 Harjulehto, Petteri; Hästö, Peter	35	2008
Harnack’s inequality for quasiminimizers with nonstandard growth conditions. Zbl 1145.49023 Harjulehto, Petteri; Kuusi, Tuomo; Lukkari, Teemu; Marola, Niko; Parviainen, Mikko	23	2008
Fine topology of variable exponent energy superminimizers. Zbl 1152.31005 Harjulehto, Petteri; Latvala, Visa	8	2008
On a \((q,p)\)-Poincaré inequality. Zbl 1130.46017 Harjulehto, Petteri; Hurri-Syrjänen, Ritva	7	2008
Variable exponent Sobolev spaces with zero boundary values. Zbl 1174.46322 Harjulehto, Petteri	38	2007
Bessel potential spaces with variable exponent. Zbl 1129.46025 Gurka, Petr; Harjulehto, Petteri; Nekvinda, Aleš	37	2007
Unbounded supersolutions of nonlinear equations with nonstandard growth. Zbl 1161.35020 Harjulehto, Petteri; Kinnunen, Juha; Lukkari, Teemu	31	2007
An obstacle problem and superharmonic functions with nonstandard growth. Zbl 1130.31004 Harjulehto, P.; Hästö, P.; Koskenoja, M.; Lukkari, T.; Marola, N.	26	2007
Properties of capacities in variable exponent Sobolev spaces. Zbl 1143.31003 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika	18	2007
Hölder quasicontinuity in variable exponent Sobolev spaces. Zbl 1132.46024 Harjulehto, Petteri; Kinnunen, Juha; Tuhkanen, Katja	5	2007
The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. Zbl 1120.46016 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna	90	2006
Sobolev embeddings in metric measure spaces with variable dimension. Zbl 1109.46037 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa	37	2006
Variable exponent Sobolev spaces on metric measure spaces. Zbl 1140.46013 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko	29	2006
Traces and Sobolev extension domains. Zbl 1113.46027 Harjulehto, Petteri	7	2006
Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator. Zbl 1072.42016 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko	59	2005
Hardy’s inequality in a variable exponent Sobolev space. Zbl 1096.46017 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika	38	2005
A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces. Zbl 1072.46021 Harjulehto, Petteri; Hästö, Peter	22	2004
Lebesgue points in variable exponent spaces. Zbl 1079.46022 Harjulehto, Petteri; Hästö, Peter	18	2004
Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023 Harjulehto, Petteri; Hästö, Peter; Martio, Olli	7	2004
Lebesgue points in variable exponent Sobolev spaces on metric measure spaces. Zbl 1199.46079 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa	4	2004
Differentiation bases for Sobolev functions on metric spaces. Zbl 1074.46023 Harjulehto, Petteri; Kinnunen, Juha	3	2004
An overview of variable exponent Lebesgue and Sobolev spaces. Zbl 1046.46028 Harjulehto, Petteri; Hästö, Peter	45	2003
Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\). Zbl 1078.46021 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna	33	2003
The Dirichlet energy integral on intervals in variable exponent Sobolev spaces. Zbl 1046.46027 Harjulehto, P.; Hästö, P.; Koskenoja, M.	11	2003
Sobolev extension domains on metric spaces of homogeneous type. Zbl 1082.46024 Harjulehto, Petteri	8	2002

all cited Publications top 5 cited Publications

all top 5

Cited by 1,768 Authors

74	Shimomura, Tetsu
60	Papageorgiou, Nikolaos S.
58	Rădulescu, Vicenţiu D.
52	Yang, Dachun
47	Byun, Sun-Sig
47	Ohno, Takao
46	Mizuta, Yoshihiro
40	Hästö, Peter A.
39	Winkert, Patrick
38	Ho, Kwok-Pun
36	Harjulehto, Petteri
35	Rafeiro, Humberto
33	Ok, Jihoon
29	Samko, Stefan Grigor’evich
29	Xu, Jingshi
28	Yuan, Wen
26	Zhang, Qihu
24	Meskhi, Alexander
23	Antontsev, Stanislav Nikolaevich
23	Sawano, Yoshihiro
23	Weisz, Ferenc
23	Zeng, Shengda
21	Ge, Bin
21	Repovš, Dušan D.
20	Simsen, Jacson
19	Benkirane, Abdelmoujib
19	Cruz-Uribe, David Vincente
19	Dai, Guowei
19	Messaoudi, Salim A.
18	Fu, Yongqiang
18	Kim, Yunho
18	Zhang, Chao
17	Azroul, Elhoussine
17	Chlebicka, Iwona
17	Fiorenza, Alberto
17	Kokilashvili, Vakhtang
17	Vetro, Calogero
16	Drihem, Douadi
16	Górka, Przemysław
16	Kostić, Marko
16	Piṣkin, Erhan
16	Zhuo, Ciqiang
15	De Filippis, Cristiana
15	Mingione, Giuseppe
15	Wang, Liwei
15	Zhang, Binlin
14	Almeida, Alexandre
14	Bandaliev, Rovshan Alifaga ogly
14	Edmunds, David Eric
14	Fan, Xianling
14	Ferreira, Jorge
14	Guliyev, Vagif Sabir
14	Ho, Ky
14	Liu, Zhenhai
14	Shmarev, Sergey I.
13	Diening, Lars
13	Izuki, Mitsuo
13	Jiao, Yong
13	Nguyen Thanh Chung
13	Shahrouzi, Mohammad
13	Vetro, Francesca
12	Alves, Claudianor Oliveira
12	Gwiazda, Piotr
12	Karapetyants, Alekseĭ Nikolaevich
12	Kopaliani, Tengiz
12	Simsen, Mariza Stefanello
12	Surnachëv, Mikhaĭl Dmitrievich
11	Avci, Mustafa
11	Fiscella, Alessio
11	Gasiński, Leszek
11	Hjiaj, Hassane
11	Hurri-Syrjānen, Ritva
11	Karlovych, Oleksiy
11	Lukkari, Teemu
11	Pucci, Patrizia
11	Rahmoune, Abita
11	Sin, Cholmin
11	Skrypnik, Igor Igorievich
11	Touzani, Abdelfattah
11	Tsouli, Najib
11	Zhao, Jiman
10	Afrouzi, Ghasem Alizadeh
10	Allalou, Chakir
10	Aouaoui, Sami
10	Arora, Rakesh
10	Bulíček, Miroslav
10	Kempka, Henning
10	Khamsi, Mohamed Amine
10	Méndez, Osvaldo
10	Noi, Takahiro
10	Ragusa, Maria Alessandra
10	Yang, Sibei
9	Alkhutov, Yuriy Alexandrovich
9	Ayazoglu (Mashiyev), Rabil A.
9	Aydin, Ismail
9	Benboubker, Mohamed Badr
9	El Moumni, Mostafa
9	Eleuteri, Michela
9	Gao, Wenjie
9	Kozhevnikova, Larisa Mikhaĭlovna
...and 1,668 more Authors

all top 5

Cited in 354 Serials

173	Journal of Mathematical Analysis and Applications
143	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
61	Mediterranean Journal of Mathematics
49	Mathematische Nachrichten
48	Journal of Differential Equations
46	Mathematical Methods in the Applied Sciences
44	Complex Variables and Elliptic Equations
43	Applicable Analysis
41	Journal of Function Spaces
40	Calculus of Variations and Partial Differential Equations
38	Nonlinear Analysis. Real World Applications
36	Journal of Functional Analysis
33	The Journal of Geometric Analysis
31	Journal of Elliptic and Parabolic Equations
30	Boundary Value Problems
26	Journal of Inequalities and Applications
25	Advances in Nonlinear Analysis
21	ZAMP. Zeitschrift für angewandte Mathematik und Physik
21	Potential Analysis
21	Journal of Mathematical Sciences (New York)
20	Mathematical Inequalities & Applications
20	Revista Matemática Complutense
18	Rendiconti del Circolo Matemàtico di Palermo. Serie II
18	Georgian Mathematical Journal
17	Computers & Mathematics with Applications
17	Journal of Mathematical Physics
17	Annali di Matematica Pura ed Applicata. Serie Quarta
17	Results in Mathematics
17	Electronic Journal of Differential Equations (EJDE)
17	Banach Journal of Mathematical Analysis
16	Czechoslovak Mathematical Journal
15	Boletim da Sociedade Paranaense de Matemática. Terceira Série
15	Analysis and Mathematical Physics
14	Applied Mathematics Letters
14	Turkish Journal of Mathematics
14	Annales Academiae Scientiarum Fennicae. Mathematica
14	Abstract and Applied Analysis
14	Discrete and Continuous Dynamical Systems. Series S
13	Mathematical Notes
13	Topological Methods in Nonlinear Analysis
13	Opuscula Mathematica
13	Positivity
13	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
13	Annals of Functional Analysis
12	Monatshefte für Mathematik
12	Asymptotic Analysis
12	Communications on Pure and Applied Analysis
12	Transactions of A. Razmadze Mathematical Institute
11	Collectanea Mathematica
11	Forum Mathematicum
11	NoDEA. Nonlinear Differential Equations and Applications
11	Discrete and Continuous Dynamical Systems
11	Journal of Pseudo-Differential Operators and Applications
11	Advances in Operator Theory
10	Applied Mathematics and Computation
10	Integral Equations and Operator Theory
10	Manuscripta Mathematica
10	Zeitschrift für Analysis und ihre Anwendungen
10	Taiwanese Journal of Mathematics
10	Acta Mathematica Sinica. English Series
10	Communications in Contemporary Mathematics
10	Open Mathematics
10	Moroccan Journal of Pure and Applied Analysis
9	Ukrainian Mathematical Journal
9	Proceedings of the American Mathematical Society
9	Fractional Calculus & Applied Analysis
9	Analysis and Applications (Singapore)
9	Journal of Mathematical Inequalities
9	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8	Mathematische Annalen
8	Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
8	SIAM Journal on Mathematical Analysis
8	Bulletin des Sciences Mathématiques
8	The Journal of Fourier Analysis and Applications
8	Discrete and Continuous Dynamical Systems. Series B
8	Acta Mathematica Scientia. Series B. (English Edition)
8	Journal of Function Spaces and Applications
7	Analysis Mathematica
7	Archive for Rational Mechanics and Analysis
7	Rocky Mountain Journal of Mathematics
7	Mathematische Zeitschrift
7	Ricerche di Matematica
7	Transactions of the American Mathematical Society
7	Acta Mathematica Hungarica
7	Bulletin of the Iranian Mathematical Society
7	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7	Journal de Mathématiques Pures et Appliquées. Neuvième Série
7	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7	St. Petersburg Mathematical Journal
7	Complex Analysis and Operator Theory
7	Frontiers of Mathematics in China
7	Journal of Applied Analysis and Computation
6	Journal d’Analyse Mathématique
6	Studia Mathematica
6	Journal of the Korean Mathematical Society
6	Mathematica Slovaca
6	Quaestiones Mathematicae
6	Bulletin of the Korean Mathematical Society
6	Advances in Differential Equations
6	Integral Transforms and Special Functions
...and 254 more Serials

all top 5

Cited in 46 Fields

1,431	Partial differential equations (35-XX)
868	Functional analysis (46-XX)
558	Harmonic analysis on Euclidean spaces (42-XX)
263	Operator theory (47-XX)
139	Real functions (26-XX)
125	Calculus of variations and optimal control; optimization (49-XX)
79	Potential theory (31-XX)
71	Global analysis, analysis on manifolds (58-XX)
71	Fluid mechanics (76-XX)
65	Functions of a complex variable (30-XX)
53	Numerical analysis (65-XX)
51	Ordinary differential equations (34-XX)
48	Approximations and expansions (41-XX)
45	Probability theory and stochastic processes (60-XX)
42	Mechanics of deformable solids (74-XX)
33	Abstract harmonic analysis (43-XX)
30	Integral equations (45-XX)
17	Difference and functional equations (39-XX)
17	Information and communication theory, circuits (94-XX)
13	Measure and integration (28-XX)
12	Dynamical systems and ergodic theory (37-XX)
11	Systems theory; control (93-XX)
10	Several complex variables and analytic spaces (32-XX)
10	Computer science (68-XX)
10	Optics, electromagnetic theory (78-XX)
9	Differential geometry (53-XX)
8	General topology (54-XX)
7	Classical thermodynamics, heat transfer (80-XX)
6	Operations research, mathematical programming (90-XX)
4	Topological groups, Lie groups (22-XX)
4	Integral transforms, operational calculus (44-XX)
4	Statistical mechanics, structure of matter (82-XX)
4	Biology and other natural sciences (92-XX)
3	History and biography (01-XX)
3	Special functions (33-XX)
3	Convex and discrete geometry (52-XX)
3	Quantum theory (81-XX)
2	General and overarching topics; collections (00-XX)
2	Number theory (11-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Sequences, series, summability (40-XX)
2	Mechanics of particles and systems (70-XX)
1	Mathematical logic and foundations (03-XX)
1	Combinatorics (05-XX)
1	Geometry (51-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Harjulehto, Petteri

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Citations contained in zbMATH Open

Cited by 1,768 Authors

Cited in 354 Serials

Cited in 46 Fields

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