Edit Profile (opens in new tab) Gurka, Petr Compute Distance To: Compute Author ID: gurka.petr Published as: Gurka, Petr; Gurka, P. Documents Indexed: 42 Publications since 1984 Reviewing Activity: 181 Reviews Co-Authors: 17 Co-Authors with 40 Joint Publications 309 Co-Co-Authors all top 5 Co-Authors 2 single-authored 22 Opic, Bohumír 14 Edmunds, David Eric 6 Lang, Jan 4 Pick, Luboš 3 Černý, Robert 2 Bakşi, Özlem 2 Hencl, Stanislav 2 Méndez, Osvaldo 1 Cianchi, Andrea 1 de la Torre, Alberto Clemente 1 Harjulehto, Petteri 1 Hauer, Daniel 1 Kufner, Alois 1 Martín-Reyes, Francisco Javier 1 Nekvinda, Aleš 1 Ortega, Pedro A. 1 Sarrión, M. D. all top 5 Serials 4 Czechoslovak Mathematical Journal 3 Studia Mathematica 3 Zeitschrift für Analysis und ihre Anwendungen 3 Mathematical Inequalities & Applications 2 Journal of Mathematical Analysis and Applications 2 Journal of Approximation Theory 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Real Analysis Exchange 2 Revista Matemática Complutense 1 Houston Journal of Mathematics 1 Časopis Pro Pěstování Matematiky 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Calculus of Variations and Partial Differential Equations 1 The Quarterly Journal of Mathematics 1 Banach Journal of Mathematical Analysis all top 5 Fields 33 Functional analysis (46-XX) 18 Real functions (26-XX) 11 Operator theory (47-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Approximations and expansions (41-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 412 times in 279 Documents Cited by ▼ Year ▼ Properties of generalized trigonometric functions. Zbl 1241.42019Edmunds, David E.; Gurka, Petr; Lang, Jan 46 2012 Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 41 1995 Bessel potential spaces with variable exponent. Zbl 1129.46025Gurka, Petr; Harjulehto, Petteri; Nekvinda, Aleš 34 2007 On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036Edmunds, David E.; Gurka, Petr; Opic, Bohumír 33 1997 Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024Edmunds, David E.; Gurka, Petr; Opic, Bohumír 27 1996 Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036Edmunds, David E.; Gurka, Petr; Pick, Luboš 27 1994 Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024Edmunds, David E.; Gurka, Petr; Opic, Bohumír 27 1995 Continuous and compact imbeddings of weighted Sobolev spaces. II. Zbl 0669.46019Gurka, Petr; Opic, Bohumír 20 1989 Continuous and compact imbeddings of weighted Sobolev spaces. I. Zbl 0676.46030Gurka, Petr; Opic, Bohumír 19 1988 Sharp embeddings of Besov-type spaces. Zbl 1132.46022Gurka, Petr; Opic, Bohumír 16 2007 Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020Edmunds, David E.; Gurka, Petr; Opic, Bohumír 16 1998 On weighted Poincaré inequalities. Zbl 0858.26009Cianchi, Andrea; Edmunds, David E.; Gurka, Petr 15 1996 Sharp embeddings of Besov spaces with logarithmic smoothness. Zbl 1083.46018Gurka, Petr; Opic, Bohumír 9 2005 Weighted inequalities for geometric means. Zbl 0806.26012Opic, B.; Gurka, P. 9 1994 Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 8 2005 Continuous and compact imbeddings of weighted Sobolev spaces. III. Zbl 0745.46038Gurka, Petr; Opic, Bohumir 8 1991 Basis properties of generalized trigonometric functions. Zbl 1311.46008Edmunds, David E.; Gurka, Petr; Lang, Jan 7 2014 Generalized Hardy’s inequality. Zbl 0537.26009Gurka, Petr 7 1984 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 6 2000 On the Dirichlet problem for the \(n,\alpha \)-Laplacian with the nonlinearity in the critical growth range. Zbl 1225.35062Černý, Robert; Gurka, Petr; Hencl, Stanislav 5 2011 Concentration-compactness principle for generalized Trudinger inequalities. Zbl 1225.46026Černý, Robert; Gurka, Petr; Hencl, Stanislav 5 2011 Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028Edmunds, David E.; Gurka, Petr; Lang, Jan 4 2016 Good and bad measures. Zbl 0940.26013Gurka, P.; Martín-Reyes, F. J.; Ortega, P.; Pick, L.; Sarrión, M. D.; de la Torre, A. 4 2000 \(A_ r\)-condition for two weight functions and compact imbeddings of weighted Sobolev spaces. Zbl 0676.46029Gurka, Petr; Opic, Bohumír 4 1988 A note on a two-weighted Sobolev inequality. Zbl 0692.46027Gurka, Petr; Kufner, Alois 3 1989 Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 3 2006 N-dimensional Hardy inequality and imbedding theorems for weighted Sobolev spaces on unbounded domains. Zbl 0695.46017Opic, B.; Gurka, P. 2 1989 Entropy numbers of limiting embeddings of logarithmic Sobolev spaces into exponential spaces. Zbl 1195.46031Edmunds, David E.; Gurka, Petr 2 2010 Sharp Hardy inequalities of fractional order involving slowly varying functions. Zbl 1232.26030Gurka, Petr; Opic, Bohumír 1 2012 Basis properties of \(p\)-exponential function of Lindqvist and Peetre type. Zbl 1411.46011Bakşi, Özlem; Gurka, Petr; Lang, Jan; Méndez, Osvaldo 1 2018 Global limiting embeddings of logarithmic Bessel potential spaces. Zbl 0934.46034Gurka, Petr; Opic, Bohumír 1 1998 Moser-type inequalities for generalized Lorentz-Sobolev spaces. Zbl 1327.46033Černý, Robert; Gurka, Petr 1 2014 Hardy inequality of fractional order. Zbl 1138.26011Gurka, Petr; Opic, Bohumír 1 2008 Basis properties of \(p\)-exponential function of Lindqvist and Peetre type. Zbl 1411.46011Bakşi, Özlem; Gurka, Petr; Lang, Jan; Méndez, Osvaldo 1 2018 Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028Edmunds, David E.; Gurka, Petr; Lang, Jan 4 2016 Basis properties of generalized trigonometric functions. Zbl 1311.46008Edmunds, David E.; Gurka, Petr; Lang, Jan 7 2014 Moser-type inequalities for generalized Lorentz-Sobolev spaces. Zbl 1327.46033Černý, Robert; Gurka, Petr 1 2014 Properties of generalized trigonometric functions. Zbl 1241.42019Edmunds, David E.; Gurka, Petr; Lang, Jan 46 2012 Sharp Hardy inequalities of fractional order involving slowly varying functions. Zbl 1232.26030Gurka, Petr; Opic, Bohumír 1 2012 On the Dirichlet problem for the \(n,\alpha \)-Laplacian with the nonlinearity in the critical growth range. Zbl 1225.35062Černý, Robert; Gurka, Petr; Hencl, Stanislav 5 2011 Concentration-compactness principle for generalized Trudinger inequalities. Zbl 1225.46026Černý, Robert; Gurka, Petr; Hencl, Stanislav 5 2011 Entropy numbers of limiting embeddings of logarithmic Sobolev spaces into exponential spaces. Zbl 1195.46031Edmunds, David E.; Gurka, Petr 2 2010 Hardy inequality of fractional order. Zbl 1138.26011Gurka, Petr; Opic, Bohumír 1 2008 Bessel potential spaces with variable exponent. Zbl 1129.46025Gurka, Petr; Harjulehto, Petteri; Nekvinda, Aleš 34 2007 Sharp embeddings of Besov-type spaces. Zbl 1132.46022Gurka, Petr; Opic, Bohumír 16 2007 Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 3 2006 Sharp embeddings of Besov spaces with logarithmic smoothness. Zbl 1083.46018Gurka, Petr; Opic, Bohumír 9 2005 Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 8 2005 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 6 2000 Good and bad measures. Zbl 0940.26013Gurka, 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 0895.46020Edmunds, David E.; Gurka, Petr; Opic, Bohumír 16 1998 Global limiting embeddings of logarithmic Bessel potential spaces. Zbl 0934.46034Gurka, Petr; Opic, Bohumír 1 1998 On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036Edmunds, David E.; Gurka, Petr; Opic, Bohumír 33 1997 Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024Edmunds, David E.; Gurka, Petr; Opic, Bohumír 27 1996 On weighted Poincaré inequalities. Zbl 0858.26009Cianchi, Andrea; Edmunds, David E.; Gurka, Petr 15 1996 Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 41 1995 Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024Edmunds, David E.; Gurka, Petr; Opic, Bohumír 27 1995 Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036Edmunds, David E.; Gurka, Petr; Pick, Luboš 27 1994 Weighted inequalities for geometric means. Zbl 0806.26012Opic, B.; Gurka, P. 9 1994 Continuous and compact imbeddings of weighted Sobolev spaces. III. Zbl 0745.46038Gurka, Petr; Opic, Bohumir 8 1991 Continuous and compact imbeddings of weighted Sobolev spaces. II. Zbl 0669.46019Gurka, Petr; Opic, Bohumír 20 1989 A note on a two-weighted Sobolev inequality. Zbl 0692.46027Gurka, Petr; Kufner, Alois 3 1989 N-dimensional Hardy inequality and imbedding theorems for weighted Sobolev spaces on unbounded domains. Zbl 0695.46017Opic, B.; Gurka, P. 2 1989 Continuous and compact imbeddings of weighted Sobolev spaces. I. Zbl 0676.46030Gurka, Petr; Opic, Bohumír 19 1988 \(A_ r\)-condition for two weight functions and compact imbeddings of weighted Sobolev spaces. Zbl 0676.46029Gurka, Petr; Opic, Bohumír 4 1988 Generalized Hardy’s inequality. Zbl 0537.26009Gurka, Petr 7 1984 all cited Publications top 5 cited Publications all top 5 Cited by 298 Authors 24 Cianchi, Andrea 23 Opic, Bohumír 17 Edmunds, David Eric 16 Gurka, Petr 12 Černý, Robert 12 Gogatishvili, Amiran 11 Xu, Jingshi 9 Pick, Luboš 9 Vasil’eva, Anastasiya Andreevna 8 Shimomura, Tetsu 7 Bhayo, Barkat Ali 7 Neves, Júlio Severino 7 Takeuchi, Shingo 6 Lang, Jan 6 Ohno, Takao 6 Yin, Li 5 Almeida, Alexandre 5 Caetano, António M. 4 Chu, Yuming 4 Cobos, Fernando 4 Hencl, Stanislav 4 Ho, Kwok-Pun 4 Hurri-Syrjānen, Ritva 4 Maz’ya, Vladimir Gilelevich 4 Melkonian, Houry 4 Mizuta, Yoshihiro 4 Persson, Lars-Erik 4 Slavíková, Lenka 3 Alberico, Angela 3 de Cave, Linda Maria 3 Haroske, Dorothee D. 3 Hästö, Peter A. 3 Kühn, Thomas 3 Li, Hongliang 3 Lin, Xiuli 3 Lomakina, Elena N. 3 Mamedov, Farman Imran 3 Nakai, Eiichi 3 Nečasová, Šárka 3 Pustylnik, Evgeniy 3 Sun, Qinxiu 3 Wang, Miaokun 3 Yang, Xiaodi 2 Ahmed, Irshaad 2 Akin, Lutfi 2 Alvino, Angelo 2 Bakşi, Özlem 2 Baricz, Árpád 2 Baustian, Falko 2 Boulton, Lyonell 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 Fiorenza, Alberto 2 Hong, Miao-Ying 2 Jang, Juhi 2 Kałamajska, Agnieszka 2 Kempka, Henning 2 Kerman, Ron 2 Klén, Riku 2 Kračmar, Stanislav 2 Leopold, Hans-Gerd 2 Licciardi, Silvia 2 Luor, Dahchin 2 Ma, Xiaoyan 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 Skrzypczak, Leszek 2 Trebels, Walter 2 Tuominen, Heli 2 Vuorinen, Matti Keijo Kustaa 2 Wadade, Hidemitsu 2 Wang, Shengrong 2 Wang, Xiaohuan 2 Yu, Xiao 2 Zhang, Jihui 1 Abdo, Khadega R. 1 Abidin, Muhammad Zainul 1 Adams, David Randolph 1 Arai, Ryutaro ...and 198 more Authors all top 5 Cited in 114 Serials 26 Journal of Mathematical Analysis and Applications 14 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 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 Journal of Function Spaces 5 Transactions of the American Mathematical Society 5 Russian Journal of Mathematical Physics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Monatshefte für Mathematik 4 Journal of Mathematical Inequalities 3 Analysis Mathematica 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 Mathematische Zeitschrift 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 Siberian Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 The Journal of Geometric Analysis 2 Georgian Mathematical Journal 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Inequalities & Applications 2 Acta Mathematica Sinica. English Series 2 Communications on Pure and Applied Analysis 2 Central European Journal of Mathematics 2 Boundary Value Problems 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 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 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 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 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Topological Methods in Nonlinear Analysis 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 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 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 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Hacettepe Journal of Mathematics and Statistics 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 ...and 14 more Serials all top 5 Cited in 29 Fields 171 Functional analysis (46-XX) 84 Real functions (26-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 48 Partial differential equations (35-XX) 44 Operator theory (47-XX) 32 Special functions (33-XX) 14 Ordinary differential equations (34-XX) 14 Approximations and expansions (41-XX) 8 Functions of a complex variable (30-XX) 7 Fluid mechanics (76-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Potential theory (31-XX) 4 Numerical analysis (65-XX) 3 Measure and integration (28-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 3 Astronomy and astrophysics (85-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year