Edit Profile (opens in new tab) Kerman, Ron Compute Distance To: Compute Author ID: kerman.ron Published as: Kerman, Ron; Kerman, R. Documents Indexed: 31 Publications since 1985 Co-Authors: 17 Co-Authors with 26 Joint Publications 382 Co-Co-Authors all top 5 Co-Authors 2 single-authored 8 Pick, Luboš 5 Sawyer, Eric T. 4 Bloom, Steven 3 Spektor, Susanna 2 Cianchi, Andrea 2 Edmunds, David Eric 2 Rawat, Rama 2 Singh, Rajesh Kumar 2 Sinnamon, Gord 1 Brannan, Michael 1 Francu, Martin 1 Gogatishvili, Amiran 1 Heinig, Hans P. 1 Huang, Meiling 1 Krbec, Miroslav 1 Lang, Jan 1 Milman, Mario Marcos 1 Ol’hava, Rastislav 1 Opic, Bohumír 1 Phipps, Colin all top 5 Serials 8 Studia Mathematica 4 Proceedings of the American Mathematical Society 2 Journal d’Analyse Mathématique 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Journal of Functional Analysis 1 Transactions of the American Mathematical Society 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Bulletin of the American Mathematical Society. New Series 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Positivity 1 Mathematical Inequalities & Applications 1 Revista Matemática Complutense 1 The ANZIAM Journal 1 Mathematics all top 5 Fields 19 Functional analysis (46-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Real functions (26-XX) 9 Operator theory (47-XX) 3 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 388 times in 304 Documents Cited by ▼ Year ▼ Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019Edmunds, D. E.; Kerman, R.; Pick, L. 100 2000 The trace inequality and eigenvalue estimates for Schrödinger operators. Zbl 0591.47037Kerman, R.; Sawyer, E. 61 1986 Optimal Sobolev imbeddings. Zbl 1120.46018Kerman, Ron; Pick, Luboš 47 2006 Carleson measures and multipliers of Dirichlet-type spaces. Zbl 0657.31019Kerman, Ron; Sawyer, Eric 29 1988 Weighted norm inequalities for operators of Hardy type. Zbl 0753.42010Bloom, Steven; Kerman, Ron 24 1991 Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator. Zbl 0813.42014Bloom, S.; Kerman, R. 21 1994 Weighted \(L_ \Phi\) integral inequalities for operators of Hardy type. Zbl 0823.42010Bloom, Steven; Kerman, Ron 17 1994 A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014Cianchi, A.; Kerman, R.; Opic, B.; Pick, L. 14 2000 Compactness of Sobolev imbeddings involving rearrangement-invariant norms. Zbl 1158.46024Kerman, Ron; Pick, Luboš 13 2008 Boundary trace inequalities and rearrangements. Zbl 1169.46013Cianchi, Andrea; Kerman, Ron; Pick, Luboš 13 2008 Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures. Zbl 0564.35027Kerman, R.; Sawyer, E. 10 1985 Optimal Sobolev imbedding spaces. Zbl 1180.46026Kerman, Ron; Pick, Luboš 10 2009 Convolution algebras with weighted rearrangement-invariant norm. Zbl 0838.46020Kerman, R.; Sawyer, E. 9 1994 Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\). Zbl 1016.47035Edmunds, D. E.; Kerman, R.; Lang, J. 9 2001 The rearrangement-invariant space \(\Gamma _{p,\phi}\). Zbl 1311.46025Gogatishvili, Amiran; Kerman, Ron 7 2014 An asymptotically sharp form of Ball’s integral inequality. Zbl 1408.33003Kerman, Ron; Ol’hava, Rastislav; Spektor, Susanna 6 2015 Weighted exponential inequalities. Zbl 1009.26014Heinig, H. P.; Kerman, R.; Krbec, M. 5 2001 On the Brudnyĭ-Krugljak duality theory of spaces formed by the \(\mathcal K\)-method of interpolation. Zbl 1144.46058Kerman, Ron; Milman, Mario; Sinnamon, Gord 5 2007 Explicit formulas for optimal rearrangement-invariant norms in Sobolev imbedding inequalities. Zbl 1238.46026Kerman, Ron; Pick, Luboš 5 2011 On weighted norm inequalities for positive linear operators. Zbl 0673.47030Kerman, R.; Sawyer, E. 4 1989 Marcinkiewicz interpolation theorems for Orlicz and Lorentz gamma spaces. Zbl 1305.46020Kerman, Ron; Phipps, Colin; Pick, Lubosš 3 2014 Error estimates for Dominici’s Hermite function asymptotic formula and some applications. Zbl 1180.33009Kerman, R.; Huang, M. L.; Brannan, M. 2 2009 Extrapolation of \(L^p\) data from a modular inequality. Zbl 1053.42023Bloom, Steven; Kerman, Ron 1 2002 Dilation-commuting operators on power-weighted Orlicz classes. Zbl 1419.42013Kerman, Ron; Rawat, Rama; Singh, Rajesh K. 1 2019 Dilation-commuting operators on power-weighted Orlicz classes. Zbl 1419.42013Kerman, Ron; Rawat, Rama; Singh, Rajesh K. 1 2019 An asymptotically sharp form of Ball’s integral inequality. Zbl 1408.33003Kerman, Ron; Ol’hava, Rastislav; Spektor, Susanna 6 2015 The rearrangement-invariant space \(\Gamma _{p,\phi}\). Zbl 1311.46025Gogatishvili, Amiran; Kerman, Ron 7 2014 Marcinkiewicz interpolation theorems for Orlicz and Lorentz gamma spaces. Zbl 1305.46020Kerman, Ron; Phipps, Colin; Pick, Lubosš 3 2014 Explicit formulas for optimal rearrangement-invariant norms in Sobolev imbedding inequalities. Zbl 1238.46026Kerman, Ron; Pick, Luboš 5 2011 Optimal Sobolev imbedding spaces. Zbl 1180.46026Kerman, Ron; Pick, Luboš 10 2009 Error estimates for Dominici’s Hermite function asymptotic formula and some applications. Zbl 1180.33009Kerman, R.; Huang, M. L.; Brannan, M. 2 2009 Compactness of Sobolev imbeddings involving rearrangement-invariant norms. Zbl 1158.46024Kerman, Ron; Pick, Luboš 13 2008 Boundary trace inequalities and rearrangements. Zbl 1169.46013Cianchi, Andrea; Kerman, Ron; Pick, Luboš 13 2008 On the Brudnyĭ-Krugljak duality theory of spaces formed by the \(\mathcal K\)-method of interpolation. Zbl 1144.46058Kerman, Ron; Milman, Mario; Sinnamon, Gord 5 2007 Optimal Sobolev imbeddings. Zbl 1120.46018Kerman, Ron; Pick, Luboš 47 2006 Extrapolation of \(L^p\) data from a modular inequality. Zbl 1053.42023Bloom, Steven; Kerman, Ron 1 2002 Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\). Zbl 1016.47035Edmunds, D. E.; Kerman, R.; Lang, J. 9 2001 Weighted exponential inequalities. Zbl 1009.26014Heinig, H. P.; Kerman, R.; Krbec, M. 5 2001 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019Edmunds, D. E.; Kerman, R.; Pick, L. 100 2000 A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014Cianchi, A.; Kerman, R.; Opic, B.; Pick, L. 14 2000 Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator. Zbl 0813.42014Bloom, S.; Kerman, R. 21 1994 Weighted \(L_ \Phi\) integral inequalities for operators of Hardy type. Zbl 0823.42010Bloom, Steven; Kerman, Ron 17 1994 Convolution algebras with weighted rearrangement-invariant norm. Zbl 0838.46020Kerman, R.; Sawyer, E. 9 1994 Weighted norm inequalities for operators of Hardy type. Zbl 0753.42010Bloom, Steven; Kerman, Ron 24 1991 On weighted norm inequalities for positive linear operators. Zbl 0673.47030Kerman, R.; Sawyer, E. 4 1989 Carleson measures and multipliers of Dirichlet-type spaces. Zbl 0657.31019Kerman, Ron; Sawyer, Eric 29 1988 The trace inequality and eigenvalue estimates for Schrödinger operators. Zbl 0591.47037Kerman, R.; Sawyer, E. 61 1986 Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures. Zbl 0564.35027Kerman, R.; Sawyer, E. 10 1985 all cited Publications top 5 cited Publications all top 5 Cited by 290 Authors 26 Pick, Luboš 22 Cianchi, Andrea 20 Gogatishvili, Amiran 11 Edmunds, David Eric 10 Mihula, Zdeněk 10 Opic, Bohumír 8 Gol’dman, Mikhail L’vovich 8 Neves, Júlio Severino 8 Verbitsky, Igor E. 7 Kerman, Ron 7 Lang, Jan 7 Maz’ya, Vladimir Gilelevich 7 Prokhorov, Dmitriĭ Vladimirovich 7 Ricker, Werner Joseph 7 Slavíková, Lenka 7 Stepanov, Vladimir Dmitrievich 6 Curbera, Guillermo P. 6 Qian, Ruishen 6 Sawyer, Eric T. 5 Alberico, Angela 5 Fernández-Martínez, Pedro 5 Krbec, Miroslav 5 Maligranda, Lech 5 Pustylnik, Evgeniy 5 Seo, Ihyeok 4 Caetano, António M. 4 Clavero, Nadia 4 El Aidi, Mohammed 4 Haroske, Dorothee D. 4 Křepela, Martin 4 Leśnik, Karol 4 Martín, Joaquim 4 Milman, Mario Marcos 4 Musil, Vít 4 Tarsi, Cristina 4 Wu, Zhijian 3 Anoop, Thazhe Veetil 3 Bakhtigareeva, Él’za Gizarovna 3 Bandaliev, Rovshan Alifaga ogly 3 Cascante, Carme 3 Cassani, Daniele 3 Gala, Sadek 3 Ho, Kwok-Pun 3 Kuznetsova, Yulia N. 3 Li, Hongliang 3 Masmoudi, Nader 3 Domingues de Moura, Susana 3 Ortega Aramburu, Joaquín María 3 Rochberg, Richard 3 Ruf, Bernhard 3 Sawano, Yoshihiro 3 Schmeisser, Hans-Jürgen 3 Signes, Teresa M. 3 Soria, Javier 3 Tanaka, Hitoshi 2 Arcozzi, Nicola 2 Astashkin, Sergeĭ Vladimir 2 Bahouri, Hajer 2 Barceló, Juan Antonio 2 Bilgiçli, Nevin 2 Biswas, Nirjan 2 Carro, María Jesús 2 Cavaliere, Paola 2 Das, Ujjal 2 Guliyev, Vagif Sabir 2 Hu, Pengyan 2 Ioku, Norisuke 2 Jain, Pankaj 2 Kałamajska, Agnieszka 2 Kalybay, Aigerim Aisultankyzy 2 König, Hermann 2 Kruglyak, Natan Ya. 2 Li, Songxiao 2 Majdoub, Mohamed 2 Mamedov, Farman Imran 2 Melkonian, Houry 2 Mustafayev, Rza Ch. 2 Oĭnarov, Ryskul Oĭnarovich 2 Okada, Susumu 2 Ruiz, Alberto 2 Schechter, Martin 2 Shen, Zhongwei 2 Shimomura, Tetsu 2 Soudský, Filip 2 Sugano, Satoko 2 Triebel, Hans 2 Turčinová, Hana 2 Ünver, Tuğçe 2 Ushakova, Elena Pavlovna 2 Vasil’eva, Anastasiya Andreevna 2 Wilson, James Michael 2 Wulan, Hasi 1 Abohela, Islam 1 Acinas, Sonia E. 1 Asekritova, Irina U. 1 Baena-Miret, Sergi 1 Bao, Guanlong 1 Barletta, Giuseppina 1 Ben Amor, Ali 1 Benbernou, Amina Lahmar ...and 190 more Authors all top 5 Cited in 104 Serials 28 Journal of Functional Analysis 21 Journal of Mathematical Analysis and Applications 12 Mathematische Nachrichten 11 Proceedings of the American Mathematical Society 11 Transactions of the American Mathematical Society 9 Potential Analysis 8 Positivity 8 Revista Matemática Complutense 7 Journal of Approximation Theory 6 Studia Mathematica 5 Advances in Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Indagationes Mathematicae. New Series 5 Proceedings of the Steklov Institute of Mathematics 4 Rocky Mountain Journal of Mathematics 4 Arkiv för Matematik 4 Annales de l’Institut Fourier 4 Duke Mathematical Journal 4 Integral Equations and Operator Theory 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Forum Mathematicum 4 Communications in Partial Differential Equations 4 Doklady Mathematics 3 Mathematical Notes 3 Journal of Computational and Applied Mathematics 3 Mathematische Zeitschrift 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Zeitschrift für Analysis und ihre Anwendungen 3 The Journal of Geometric Analysis 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Russian Journal of Mathematical Physics 3 Georgian Mathematical Journal 3 Bulletin des Sciences Mathématiques 3 The Journal of Fourier Analysis and Applications 3 AIMS Mathematics 2 Analysis Mathematica 2 Journal d’Analyse Mathématique 2 Ukrainian Mathematical Journal 2 Czechoslovak Mathematical Journal 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Siberian Mathematical Journal 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Expositiones Mathematicae 2 Calculus of Variations and Partial Differential Equations 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Complex Analysis and Operator Theory 2 Banach Journal of Mathematical Analysis 2 Eurasian Mathematical Journal 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematika 1 Nagoya Mathematical Journal 1 Real Analysis Exchange 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Bulletin of the American Mathematical Society. New Series 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Filomat 1 Sbornik: Mathematics 1 Abstract and Applied Analysis 1 Novi Sad Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Discrete Dynamics in Nature and Society 1 Journal of the European Mathematical Society (JEMS) 1 Portugaliae Mathematica. Nova Série 1 Computational Methods and Function Theory 1 Central European Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Boundary Value Problems 1 Journal of Mathematical Inequalities 1 Science China. Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Azerbaijan Journal of Mathematics 1 Analysis and Mathematical Physics ...and 4 more Serials all top 5 Cited in 26 Fields 186 Functional analysis (46-XX) 90 Operator theory (47-XX) 75 Real functions (26-XX) 62 Partial differential equations (35-XX) 52 Harmonic analysis on Euclidean spaces (42-XX) 19 Potential theory (31-XX) 16 Functions of a complex variable (30-XX) 11 Measure and integration (28-XX) 10 Abstract harmonic analysis (43-XX) 9 Approximations and expansions (41-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Integral transforms, operational calculus (44-XX) 7 Quantum theory (81-XX) 5 Integral equations (45-XX) 4 Topological groups, Lie groups (22-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Convex and discrete geometry (52-XX) 2 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year