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Gurka, Petr

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Author ID: gurka.petr Recent zbMATH articles by "Gurka, Petr"
Published as: Gurka, Petr; Gurka, P.
Documents Indexed: 42 Publications since 1984
Reviewing Activity: 174 Reviews

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 378 times in 252 Documents Cited by Year
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
40
1995
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
37
2012
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
33
1997
Bessel potential spaces with variable exponent. Zbl 1129.46025
Gurka, Petr; Harjulehto, Petteri; Nekvinda, Aleš
29
2007
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
27
1995
Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036
Edmunds, David E.; Gurka, Petr; Pick, Luboš
23
1994
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
22
1996
Continuous and compact imbeddings of weighted Sobolev spaces. II. Zbl 0669.46019
Gurka, Petr; Opic, Bohumír
20
1989
Continuous and compact imbeddings of weighted Sobolev spaces. I. Zbl 0676.46030
Gurka, Petr; Opic, Bohumír
19
1988
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
15
1998
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
15
1996
Sharp embeddings of Besov-type spaces. Zbl 1132.46022
Gurka, Petr; Opic, Bohumír
14
2007
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
8
1991
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
8
2005
Sharp embeddings of Besov spaces with logarithmic smoothness. Zbl 1083.46018
Gurka, Petr; Opic, Bohumír
7
2005
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
6
2000
Generalized Hardy’s inequality. Zbl 0537.26009
Gurka, Petr
6
1984
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
5
2014
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
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.
4
2000
Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028
Edmunds, David E.; Gurka, Petr; Lang, Jan
3
2016
A note on a two-weighted Sobolev inequality. Zbl 0692.46027
Gurka, Petr; Kufner, Alois
3
1989
Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
3
2006
\(A_ r\)-condition for two weight functions and compact imbeddings of weighted Sobolev spaces. Zbl 0676.46029
Gurka, Petr; Opic, Bohumír
3
1988
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
Global limiting embeddings of logarithmic Bessel potential spaces. Zbl 0934.46034
Gurka, Petr; Opic, Bohumír
1
1998
Moser-type inequalities for generalized Lorentz-Sobolev spaces. Zbl 1327.46033
Černý, Robert; Gurka, Petr
1
2014
Basis properties of \(p\)-exponential function of Lindqvist and Peetre type. Zbl 1411.46011
Bakşi, Özlem; Gurka, Petr; Lang, Jan; Méndez, Osvaldo
1
2018
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
Basis properties of \(p\)-exponential function of Lindqvist and Peetre type. Zbl 1411.46011
Bakşi, Özlem; Gurka, Petr; Lang, Jan; Méndez, Osvaldo
1
2018
Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028
Edmunds, David E.; Gurka, Petr; Lang, Jan
3
2016
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
5
2014
Moser-type inequalities for generalized Lorentz-Sobolev spaces. Zbl 1327.46033
Černý, Robert; Gurka, Petr
1
2014
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
37
2012
Sharp Hardy inequalities of fractional order involving slowly varying functions. Zbl 1232.26030
Gurka, Petr; Opic, Bohumír
1
2012
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
Concentration-compactness principle for generalized Trudinger inequalities. Zbl 1225.46026
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
29
2007
Sharp embeddings of Besov-type spaces. Zbl 1132.46022
Gurka, Petr; Opic, Bohumír
14
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
3
2006
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
8
2005
Sharp embeddings of Besov spaces with logarithmic smoothness. Zbl 1083.46018
Gurka, Petr; Opic, Bohumír
7
2005
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
6
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.
4
2000
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
15
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
33
1997
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
22
1996
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
15
1996
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
40
1995
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
27
1995
Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036
Edmunds, David E.; Gurka, Petr; Pick, Luboš
23
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
8
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
19
1988
\(A_ r\)-condition for two weight functions and compact imbeddings of weighted Sobolev spaces. Zbl 0676.46029
Gurka, Petr; Opic, Bohumír
3
1988
Generalized Hardy’s inequality. Zbl 0537.26009
Gurka, Petr
6
1984
all top 5

Cited by 263 Authors

23 Cianchi, Andrea
23 Opic, Bohumír
17 Edmunds, David Eric
16 Gurka, Petr
12 Černý, Robert
12 Gogatishvili, Amiran
9 Pick, Luboš
9 Vasil’eva, Anastasiya Andreevna
8 Shimomura, Tetsu
8 Xu, Jingshi
7 Neves, Júlio Severino
6 Bhayo, Barkat Ali
6 Lang, Jan
6 Ohno, Takao
6 Takeuchi, Shingo
5 Almeida, Alexandre
5 Caetano, António M.
4 Cobos, Fernando
4 Hencl, Stanislav
4 Hurri-Syrjānen, Ritva
4 Maz’ya, Vladimir Gilelevich
4 Melkonian, Houry
4 Mizuta, Yoshihiro
4 Persson, Lars-Erik
4 Slavíková, Lenka
4 Yin, Li
3 Alberico, Angela
3 Chu, Yuming
3 de Cave, Linda Maria
3 Hästö, Peter A.
3 Ho, Kwok-Pun
3 Kühn, Thomas
3 Mamedov, Farman Imran
3 Nakai, Eiichi
3 Nečasová, Šárka
3 Pustylnik, Evgeniy
3 Wang, Miaokun
3 Yang, Xiaodi
2 Alvino, Angelo
2 Bakşi, Özlem
2 Baricz, Árpád
2 Boulton, Lyonell S.
2 Brock, Friedemann
2 Chiacchio, Francesco
2 Chlebicka, Iwona
2 Chua, Seng-Kee
2 Cwikel, Michael
2 Dattoli, Giuseppe
2 Dominguez, Oscar
2 Dong, Baohua
2 D’Onofrio, Luigi
2 Drihem, Douadi
2 Fernández-Martínez, Pedro
2 Haroske, Dorothee D.
2 Hong, Miao-Ying
2 Jang, Juhi
2 Kałamajska, Agnieszka
2 Kempka, Henning
2 Kerman, Ron
2 Klén, Riku
2 Kračmar, Stanislav
2 Li, Hongliang
2 Licciardi, Silvia
2 Lin, Xiuli
2 Lomakina, Elena N.
2 Luor, Dahchin
2 Mammadli, Sayali M.
2 Martín-Reyes, Francisco Javier
2 Méndez, Osvaldo
2 Mercaldo, Anna
2 Mihula, Zdeněk
2 Naibo, Virginia
2 Neuman, Edward
2 Penel, Patrick
2 Rafeiro, Humberto
2 Rakotondratsimba, Yves
2 Rappaz, Jacques
2 Rochat, Jonathan
2 Schiattarella, Roberta
2 Signes, Teresa M.
2 Sun, Qinxiu
2 Trebels, Walter
2 Tuominen, Heli
2 Vuorinen, Matti Keijo Kustaa
2 Wadade, Hidemitsu
2 Yu, Xiao
1 Adams, David Randolph
1 Ahmed, Irshaad
1 Akin, Lutfi
1 Arai, Ryutaro
1 Arnold, Anton
1 Aydin, Ismail
1 Babuška, Ivo
1 Bandaliev, Rovshan Alifaga ogly
1 Batuev, Eh. N.
1 Bazilevs, Yuri
1 Benkirane, Abdelmoujib
1 Bernardis, Ana L.
1 Binding, Paul Anthony
1 Brasseur, Julien
...and 163 more Authors
all top 5

Cited in 102 Serials

25 Journal of Mathematical Analysis and Applications
13 Journal of Approximation Theory
13 Journal of Functional Analysis
10 Czechoslovak Mathematical Journal
9 Mathematische Nachrichten
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Revista Matemática Complutense
6 Zeitschrift für Analysis und ihre Anwendungen
6 The Journal of Fourier Analysis and Applications
5 Transactions of the American Mathematical Society
5 Russian Journal of Mathematical Physics
5 Journal of Function Spaces
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of Inequalities and Applications
4 Journal of Mathematical Inequalities
3 Archive for Rational Mechanics and Analysis
3 Journal d’Analyse Mathématique
3 Arkiv för Matematik
3 Journal of Differential Equations
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Proceedings of the American Mathematical Society
3 Forum Mathematicum
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Potential Analysis
3 Calculus of Variations and Partial Differential Equations
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Function Spaces and Applications
3 Science China. Mathematics
2 Analysis Mathematica
2 Advances in Mathematics
2 Siberian Mathematical Journal
2 Georgian Mathematical Journal
2 NoDEA. Nonlinear Differential Equations and Applications
2 Mathematical Inequalities & Applications
2 Communications on Pure and Applied Analysis
2 Central European Journal of Mathematics
2 Boundary Value Problems
2 Arabian Journal of 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 Ukrainian Mathematical Journal
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Dissertationes Mathematicae
1 Functiones et Approximatio. Commentarii Mathematici
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 Tohoku Mathematical Journal. Second Series
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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 The Journal of Geometric Analysis
1 Applications of Mathematics
1 Aequationes Mathematicae
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Turkish Journal of Mathematics
1 Bulletin des Sciences Mathématiques
1 Integral Transforms and Special Functions
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 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Evolution Equations
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Mediterranean Journal of Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Frontiers of Mathematics in China
1 Banach Journal of Mathematical Analysis
1 Tbilisi Mathematical Journal
1 Acta Universitatis Sapientiae. Mathematica
1 Advances in Mathematical Physics
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Eurasian Mathematical Journal
1 Analysis and Mathematical Physics
1 Fractional Differential Calculus
1 Problemy Analiza. Issues of Analysis
1 Nonlinear Analysis. Theory, Methods & Applications
1 Chinese Journal of Mathematics
1 International Journal of Applied and Computational Mathematics
...and 2 more Serials

Citations by Year