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Author ID: gurka.petr Recent zbMATH articles by "Gurka, Petr"
Published as: Gurka, Petr; Gurka, P.
Documents Indexed: 45 Publications since 1984, including 2 Additional arXiv Preprints
Reviewing Activity: 187 Reviews
Co-Authors: 18 Co-Authors with 43 Joint Publications
352 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 470 times in 320 Documents Cited by Year
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
54
2012
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
46
1995
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
38
1997
Bessel potential spaces with variable exponent. Zbl 1129.46025
Gurka, Petr; Harjulehto, Petteri; Nekvinda, Aleš
37
2007
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
32
1995
Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036
Edmunds, David E.; Gurka, Petr; Pick, Luboš
31
1994
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
30
1996
Continuous and compact imbeddings of weighted Sobolev spaces. II. Zbl 0669.46019
Gurka, Petr; Opic, Bohumír
20
1989
Sharp embeddings of Besov-type spaces. Zbl 1132.46022
Gurka, Petr; Opic, Bohumír
19
2007
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
18
1996
Continuous and compact imbeddings of weighted Sobolev spaces. I. Zbl 0676.46030
Gurka, Petr; Opic, Bohumír
18
1988
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
16
1998
Sharp embeddings of Besov spaces with logarithmic smoothness. Zbl 1083.46018
Gurka, Petr; Opic, Bohumír
11
2005
Generalized Hardy’s inequality. Zbl 0537.26009
Gurka, Petr
10
1984
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
9
2005
Continuous and compact imbeddings of weighted Sobolev spaces. III. Zbl 0745.46038
Gurka, Petr; Opic, Bohumir
9
1991
Weighted inequalities for geometric means. Zbl 0806.26012
Opic, B.; Gurka, P.
9
1994
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
7
2014
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
7
2000
Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028
Edmunds, David E.; Gurka, Petr; Lang, Jan
7
2016
Concentration-compactness principle for generalized Trudinger inequalities. Zbl 1225.46026
Černý, Robert; Gurka, Petr; Hencl, Stanislav
5
2011
Good and bad measures. Zbl 0940.26013
Gurka, P.; Martín-Reyes, F. J.; Ortega, P.; Pick, L.; Sarrión, M. D.; de la Torre, A.
5
2000
On the Dirichlet problem for the \(n,\alpha \)-Laplacian with the nonlinearity in the critical growth range. Zbl 1225.35062
Černý, Robert; Gurka, Petr; Hencl, Stanislav
5
2011
Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
4
2006
\(A_ r\)-condition for two weight functions and compact imbeddings of weighted Sobolev spaces. Zbl 0676.46029
Gurka, Petr; Opic, Bohumír
4
1988
Basis properties of Lindqvist-Peetre functions in \(L^r(0,1)^n\). Zbl 1369.46013
Bakşi, Özlem; Gurka, Petr; Lang, Jan; Méndez, Osvaldo
4
2017
A note on a two-weighted Sobolev inequality. Zbl 0692.46027
Gurka, Petr; Kufner, Alois
3
1989
Moser-type inequalities for generalized Lorentz-Sobolev spaces. Zbl 1327.46033
Černý, Robert; Gurka, Petr
2
2014
More insights into the Trudinger-Moser inequality with monomial weight. Zbl 1469.46031
Gurka, Petr; Hauer, Daniel
2
2021
Entropy numbers of limiting embeddings of logarithmic Sobolev spaces into exponential spaces. Zbl 1195.46031
Edmunds, David E.; Gurka, Petr
2
2010
N-dimensional Hardy inequality and imbedding theorems for weighted Sobolev spaces on unbounded domains. Zbl 0695.46017
Opic, B.; Gurka, P.
2
1989
Sharp Hardy inequalities of fractional order involving slowly varying functions. Zbl 1232.26030
Gurka, Petr; Opic, Bohumír
1
2012
Hardy inequality of fractional order. Zbl 1138.26011
Gurka, Petr; Opic, Bohumír
1
2008
Global limiting embeddings of logarithmic Bessel potential spaces. Zbl 0934.46034
Gurka, Petr; Opic, Bohumír
1
1998
Basis properties of \(p\)-exponential function of Lindqvist and Peetre type. Zbl 1411.46011
Bakşi, Özlem; Gurka, Petr; Lang, Jan; Méndez, Osvaldo
1
2018
More insights into the Trudinger-Moser inequality with monomial weight. Zbl 1469.46031
Gurka, Petr; Hauer, Daniel
2
2021
Basis properties of \(p\)-exponential function of Lindqvist and Peetre type. Zbl 1411.46011
Bakşi, Özlem; Gurka, Petr; Lang, Jan; Méndez, Osvaldo
1
2018
Basis properties of Lindqvist-Peetre functions in \(L^r(0,1)^n\). Zbl 1369.46013
Bakşi, Özlem; Gurka, Petr; Lang, Jan; Méndez, Osvaldo
4
2017
Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028
Edmunds, David E.; Gurka, Petr; Lang, Jan
7
2016
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
7
2014
Moser-type inequalities for generalized Lorentz-Sobolev spaces. Zbl 1327.46033
Černý, Robert; Gurka, Petr
2
2014
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
54
2012
Sharp Hardy inequalities of fractional order involving slowly varying functions. Zbl 1232.26030
Gurka, Petr; Opic, Bohumír
1
2012
Concentration-compactness principle for generalized Trudinger inequalities. Zbl 1225.46026
Černý, Robert; Gurka, Petr; Hencl, Stanislav
5
2011
On the Dirichlet problem for the \(n,\alpha \)-Laplacian with the nonlinearity in the critical growth range. Zbl 1225.35062
Černý, Robert; Gurka, Petr; Hencl, Stanislav
5
2011
Entropy numbers of limiting embeddings of logarithmic Sobolev spaces into exponential spaces. Zbl 1195.46031
Edmunds, David E.; Gurka, Petr
2
2010
Hardy inequality of fractional order. Zbl 1138.26011
Gurka, Petr; Opic, Bohumír
1
2008
Bessel potential spaces with variable exponent. Zbl 1129.46025
Gurka, Petr; Harjulehto, Petteri; Nekvinda, Aleš
37
2007
Sharp embeddings of Besov-type spaces. Zbl 1132.46022
Gurka, Petr; Opic, Bohumír
19
2007
Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
4
2006
Sharp embeddings of Besov spaces with logarithmic smoothness. Zbl 1083.46018
Gurka, Petr; Opic, Bohumír
11
2005
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
9
2005
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
7
2000
Good and bad measures. Zbl 0940.26013
Gurka, P.; Martín-Reyes, F. J.; Ortega, P.; Pick, L.; Sarrión, M. D.; de la Torre, A.
5
2000
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
16
1998
Global limiting embeddings of logarithmic Bessel potential spaces. Zbl 0934.46034
Gurka, Petr; Opic, Bohumír
1
1998
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
38
1997
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
30
1996
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
18
1996
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
46
1995
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
32
1995
Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036
Edmunds, David E.; Gurka, Petr; Pick, Luboš
31
1994
Weighted inequalities for geometric means. Zbl 0806.26012
Opic, B.; Gurka, P.
9
1994
Continuous and compact imbeddings of weighted Sobolev spaces. III. Zbl 0745.46038
Gurka, Petr; Opic, Bohumir
9
1991
Continuous and compact imbeddings of weighted Sobolev spaces. II. Zbl 0669.46019
Gurka, Petr; Opic, Bohumír
20
1989
A note on a two-weighted Sobolev inequality. Zbl 0692.46027
Gurka, Petr; Kufner, Alois
3
1989
N-dimensional Hardy inequality and imbedding theorems for weighted Sobolev spaces on unbounded domains. Zbl 0695.46017
Opic, B.; Gurka, P.
2
1989
Continuous and compact imbeddings of weighted Sobolev spaces. I. Zbl 0676.46030
Gurka, Petr; Opic, Bohumír
18
1988
\(A_ r\)-condition for two weight functions and compact imbeddings of weighted Sobolev spaces. Zbl 0676.46029
Gurka, Petr; Opic, Bohumír
4
1988
Generalized Hardy’s inequality. Zbl 0537.26009
Gurka, Petr
10
1984
all top 5

Cited by 338 Authors

26 Cianchi, Andrea
26 Opic, Bohumír
19 Edmunds, David Eric
16 Gurka, Petr
14 Gogatishvili, Amiran
12 Černý, Robert
12 Shimomura, Tetsu
11 Pick, Luboš
11 Xu, Jingshi
8 Lang, Jan
8 Mizuta, Yoshihiro
8 Takeuchi, Shingo
8 Vasil’eva, Anastasiya Andreevna
7 Bhayo, Barkat Ali
7 Neves, Júlio Severino
6 Almeida, Alexandre
6 Ohno, Takao
6 Yin, Li
5 Alberico, Angela
5 Caetano, António M.
5 Chu, Yuming
5 Haroske, Dorothee D.
5 Persson, Lars-Erik
5 Slavíková, Lenka
4 Cobos, Fernando
4 Hästö, Peter A.
4 Hencl, Stanislav
4 Ho, Kwok-Pun
4 Hurri-Syrjānen, Ritva
4 Li, Hongliang
4 Maz’ya, Vladimir Gilelevich
4 Melkonian, Houry
4 Skrzypczak, Leszek
4 Wang, Miaokun
3 Bandaliev, Rovshan Alifaga ogly
3 Boulton, Lyonell
3 de Cave, Linda Maria
3 Kühn, Thomas
3 Leopold, Hans-Gerd
3 Lin, Xiuli
3 Lomakina, Elena N.
3 Mamedov, Farman Imran
3 Martín-Reyes, Francisco Javier
3 Nakai, Eiichi
3 Nečasová, Šárka
3 Nicolay, Samuel
3 Pustylnik, Evgeniy
3 Sun, Qinxiu
3 Trebels, Walter
3 Yang, Dachun
3 Yang, Xiaodi
3 Yuan, Wen
2 Ahmed, Irshaad
2 Akin, Lutfi
2 Alvino, Angelo
2 Bakşi, Özlem
2 Baricz, Árpád
2 Baustian, Falko
2 Brock, Friedemann
2 Chiacchio, Francesco
2 Chlebicka, Iwona
2 Chua, Seng-Kee
2 Cwikel, Michael
2 Dattoli, Giuseppe
2 Diening, Lars
2 Ding, Pisheng
2 Do Ó, João M. Bezerra
2 Dominguez, Oscar
2 Dong, Baohua
2 D’Onofrio, Luigi
2 Drihem, Douadi
2 Fernández-Martínez, Pedro
2 Fiorenza, Alberto
2 Gadjieva, Elmira A.
2 Hong, Miao-Ying
2 Isayev, Fatayi A.
2 Jain, Pankaj
2 Jang, Juhi
2 Kałamajska, Agnieszka
2 Kempka, Henning
2 Kerman, Ron
2 Klén, Riku
2 Kračmar, Stanislav
2 Kufner, Alois
2 Li, Ziwei
2 Licciardi, Silvia
2 Loosveldt, Laurent
2 Lu, Guozhen
2 Ma, Xiaoyan
2 Mammadli, Sayali M.
2 Méndez, Osvaldo
2 Mercaldo, Anna
2 Mihula, Zdeněk
2 Miyakawa, Hiroki
2 Domingues de Moura, Susana
2 Naibo, Virginia
2 Neuman, Edward
2 Penel, Patrick
2 Ponciano, Raoní
2 Rafeiro, Humberto
...and 238 more Authors
all top 5

Cited in 120 Serials

27 Journal of Mathematical Analysis and Applications
17 Mathematische Nachrichten
14 Journal of Approximation Theory
13 Journal of Functional Analysis
10 Czechoslovak Mathematical Journal
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 The Journal of Fourier Analysis and Applications
7 Journal of Inequalities and Applications
7 Revista Matemática Complutense
6 Zeitschrift für Analysis und ihre Anwendungen
6 Calculus of Variations and Partial Differential Equations
6 Journal of Mathematical Inequalities
6 Journal of Function Spaces
5 Transactions of the American Mathematical Society
4 Analysis Mathematica
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Mathematische Zeitschrift
4 Monatshefte für Mathematik
4 Forum Mathematicum
4 Potential Analysis
4 Russian Journal of Mathematical Physics
4 Mathematical Inequalities & Applications
3 Archive for Rational Mechanics and Analysis
3 Journal d’Analyse Mathématique
3 Arkiv för Matematik
3 Advances in Mathematics
3 Journal of Differential Equations
3 Proceedings of the American Mathematical Society
3 The Journal of Geometric Analysis
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 NoDEA. Nonlinear Differential Equations and Applications
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Function Spaces and Applications
3 Science China. Mathematics
2 Ukrainian Mathematical Journal
2 Canadian Mathematical Bulletin
2 Ricerche di Matematica
2 Siberian Mathematical Journal
2 Tôhoku Mathematical Journal. Second Series
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Georgian Mathematical Journal
2 Bulletin des Sciences Mathématiques
2 Acta Mathematica Sinica. English Series
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Communications on Pure and Applied Analysis
2 Central European Journal of Mathematics
2 Boundary Value Problems
2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
2 Banach Journal of Mathematical Analysis
2 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
2 Arabian Journal of Mathematics
2 Open Mathematics
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Studia Mathematica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Collectanea Mathematica
1 Dissertationes Mathematicae
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal of the Mathematical Society of Japan
1 Mathematica Scandinavica
1 Mathematika
1 Numerische Mathematik
1 Quaestiones Mathematicae
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Complexity
1 Constructive Approximation
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Applications of Mathematics
1 Aequationes Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 The Journal of Analysis
1 Topological Methods in Nonlinear Analysis
1 Turkish Journal of Mathematics
1 Integral Transforms and Special Functions
1 The Ramanujan Journal
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 Taiwanese Journal of Mathematics
1 Fractional Calculus & Applied Analysis
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Annales Henri Poincaré
1 Journal of Evolution Equations
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Hacettepe Journal of Mathematics and Statistics
...and 20 more Serials

Citations by Year