Edit Profile Edmunds, David Eric Compute Distance To: Compute Author ID: edmunds.david-eric Published as: Edmunds, D.; Edmunds, D. E; Edmunds, D. E.; Edmunds, David; Edmunds, David E.; Edmunds, David Eric Homepage: https://davidedmundsmathematics.wordpress.com/about/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 236 Publications since 1956, including 14 Books Biographic References: 1 Publication all top 5 Co-Authors 21 single-authored 26 Evans, William Desmond 24 Lang, Jan 16 Meskhi, Alexander 15 Kokilashvili, Vakhtang Mikhailovich 15 Opic, Bohumír 14 Gurka, Petr 13 Triebel, Hans 10 Dyer, Robert H. 9 Hurri-Syrjānen, Ritva 9 Rákosník, Jiří 7 Moscatelli, Vincenzo Bruno 6 Edmunds, R. M. 6 Harris, Desmond J. 6 Nekvinda, Aleš 6 Peletier, Lambertus Adrianus 6 Sun, Jiong 6 Webb, Jeffrey Ronald Leslie 5 Karadzhov, Georgi Eremiev 5 Krbec, Miroslav 5 Pick, Luboš 4 Kufner, Alois 4 Netrusov, Yuri 3 Carl, Bernd 3 Cobos, Fernando 3 Ilyin, Alexei A. 3 Stepanov, Vladimir Dmitrievich 2 Brown, Richard Clark 2 Cao, Zhijiang 2 Chiappinelli, Raffaele 2 Cianchi, Andrea 2 Fleckinger, Jacqueline 2 Fortunato, Donato 2 Gogatishvili, Amiran 2 Haroske, Dorothee D. 2 Harris, Deborah J. 2 Jannelli, Enrico 2 Kauffman, Robert M. 2 Kerman, Ron 2 Kopaliani, Tengiz 2 Melkonian, Houry 2 Popivanov, Nedyu Iv. 2 Potter, Anthony J. B. 2 Stuart, Charles Alexander 2 Tylli, Hans-Olav 1 Ahmed, Irshaad 1 Buriánková, Eva 1 Bushell, Peter J. 1 de Groen, Pieter P. N. 1 Downs, A. S. 1 Dyer, R. H. 1 Evans, Desmond 1 Fiorenza, Alberto 1 Hinton, Don Barker 1 Hudzik, Henryk 1 Jain, Pankaj 1 Jain, Pawan Kumar 1 Kühn, Thomas 1 Méndez, Osvaldo 1 Meshki, A. 1 Mihula, Zdeněk 1 Musil, Vít 1 Mustonen, Vesa 1 Persson, Lars-Erik 1 Saitoh, Saburou 1 Samashvili, Nino 1 Shargorodsky, Eugene 1 Sun, Jion 1 Teixeira, M. F. 1 Vähäkangas, Antti V. 1 Wang, Aiping 1 Webb, J. S. W. 1 Williams, Valerie all top 5 Serials 18 Mathematische Nachrichten 10 Journal of the London Mathematical Society. Second Series 9 Studia Mathematica 9 Revista Matemática Complutense 8 Journal of Mathematical Analysis and Applications 8 Journal of Functional Analysis 7 Archive for Rational Mechanics and Analysis 7 Journal of Approximation Theory 7 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 6 Bulletin of the London Mathematical Society 6 Zeitschrift für Analysis und ihre Anwendungen 5 Houston Journal of Mathematics 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 5 Proceedings of the London Mathematical Society. Third Series 5 Journal of the London Mathematical Society 4 The Quarterly Journal of Mathematics. Oxford Second Series 4 Proceedings of A. Razmadze Mathematical Institute 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Quarterly Journal of Mechanics and Applied Mathematics 3 Dissertationes Mathematicae 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Georgian Mathematical Journal 3 Journal of Inequalities and Applications 3 Springer Monographs in Mathematics 2 Israel Journal of Mathematics 2 Arkiv för Matematik 2 Canadian Journal of Mathematics 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Mathematische Zeitschrift 2 Mathematica Bohemica 2 The Journal of Fourier Analysis and Applications 2 Acta Mathematica Sinica. English Series 2 Journal of Analysis and Applications 2 Bollettino della Unione Matematica Italiana. Series IV 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Cambridge Tracts in Mathematics 2 Oxford Mathematical Monographs 1 Journal d’Analyse Mathématique 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Sinica 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Indiana University Mathematics Journal 1 Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matemàtica. Serie V 1 Discrete & Computational Geometry 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Pokroky Matematiky, Fyziky & Astronomie 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Russian Academy of Sciences. Doklady. Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Communications in Applied Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Mathematical Inequalities & Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 The Quarterly Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Lecture Notes in Mathematics 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Commentationes Mathematicae 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Operator Theory: Advances and Applications 1 Springer Undergraduate Mathematics Series all top 5 Fields 125 Functional analysis (46-XX) 104 Operator theory (47-XX) 53 Partial differential equations (35-XX) 34 Real functions (26-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 17 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 7 Ordinary differential equations (34-XX) 5 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 182 Publications have been cited 2,704 times in 1,792 Documents Cited by ▼ Year ▼ Spectral theory and differential operators. Zbl 0628.47017Edmunds, D. E.; Evans, W. D. 370 1987 Function spaces, entropy numbers, differential operators. Zbl 0865.46020Edmunds, David E.; Triebel, Hans 232 1996 Sobolev embeddings with variable exponent. Zbl 0974.46040Edmunds, David E.; Rákosník, Jiří 196 2000 Entropy numbers and approximation numbers in function spaces. II. Zbl 0778.46022Edmunds, D. E.; Triebel, H. 140 1992 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019Edmunds, D. E.; Kerman, R.; Pick, L. 91 2000 Hardy operators, function spaces and embeddings. Zbl 1099.46002Edmunds, David E.; Evans, W. Desmond 88 2004 On \(L^{p(x)}\) norms. Zbl 0953.46018Edmunds, D. E.; Lang, J.; Nekvinda, A. 81 1999 Critical exponents, critical dimensions and the biharmonic operator. Zbl 0724.35044Edmunds, D. E.; Fortunato, D.; Jannelli, E. 75 1990 Density of smooth functions in \(W^{k,p(x)}({\Omega{}})\). Zbl 0779.46027Edmunds, David E.; Rákosník, Jiří 71 1992 Sobolev embeddings with variable exponent. II. Zbl 1030.46033Edmunds, David E.; Rákosník, Jiří 69 2002 Bounded and compact integral operators. Zbl 1023.42001Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 69 2002 Spectral theory and differential operators. Paperback ed. Zbl 0664.47014Edmunds, D. E.; Evans, W. D. 56 1989 Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034Edmunds, D. E; Triebel, H. 53 1989 Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001Lang, Jan; Edmunds, David 42 2011 Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 38 1995 Properties of generalized trigonometric functions. Zbl 1241.42019Edmunds, David E.; Gurka, Petr; Lang, Jan 34 2012 On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036Edmunds, David E.; Gurka, Petr; Opic, Bohumír 34 1997 Remarks on generalized trigonometric functions. Zbl 1246.33001Bushell, P. J.; Edmunds, D. E. 28 2012 Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024Edmunds, David E.; Gurka, Petr; Opic, Bohumír 27 1995 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031Edmunds, David E.; Triebel, Hans 26 1999 Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031Edmunds, D. E.; Evans, W. D. 26 1979 On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 24 2005 Spectral theory for isotropic fractal drums. Zbl 0920.47044Edmunds, David; Triebel, Hans 24 1998 Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036Edmunds, David E.; Gurka, Petr; Pick, Luboš 23 1994 Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024Edmunds, David E.; Gurka, Petr; Opic, Bohumír 22 1996 Non-compact positive operators. Zbl 0232.47035Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A. 21 1972 Two limiting cases of Sobolev imbeddings. Zbl 0835.46027Edmunds, D. E.; Krbec, M. 20 1995 Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001Edmunds, David E.; Evans, W. Desmond 18 2014 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 17 2011 Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043Edmunds, D. E.; Evans, W. D.; Harris, D. J. 16 1997 Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027Edmunds, D. E.; Evans, W. D. 16 1974 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012Edmunds, David; Triebel, Hans 15 1999 Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020Edmunds, David E.; Gurka, Petr; Opic, Bohumír 15 1998 Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035Edmunds, D. E.; Lang, J. 14 2006 Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026Edmunds, D. E.; Haroske, D. 14 1999 On weighted Poincaré inequalities. Zbl 0858.26009Cianchi, Andrea; Edmunds, David E.; Gurka, Petr 14 1996 Interpolation theory and measures of non-compactness. Zbl 0492.46062Teixeira, M. F.; Edmunds, D. E. 14 1981 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021Edmunds, David E.; Opic, Bohumír 12 2014 Approximation numbers of certain Volterra integral operators. Zbl 0658.47049Edmunds, D. E.; Evans, W. D.; Harris, D. J. 12 1988 Quasilinear elliptic problems in unbounded domains. Zbl 0263.35034Edmunds, D. E.; Webb, J. R. L. 12 1973 A Harnack inequality for weak solutions of degenerate quasilinear elliptic equations. Zbl 0234.35030Edmunds, D. E.; Peletier, L. A. 12 1972 Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016Edmunds, D. E.; Lang, J. 11 2004 Weighted Poincaré and Friedrichs inequalities. Zbl 0797.46027Edmunds, D. E.; Opic, B. 11 1993 On the uniqueness of viscous flows. Zbl 0126.42302Edmunds, D. 11 1963 Entropy numbers and interpolation. Zbl 1236.46017Edmunds, D. E.; Netrusov, Yu. 10 2011 Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033Edmunds, D. E.; Meshki, A. 10 2002 Sobolev inequalities of exponential type. Zbl 0991.46019Edmunds, D. E.; Hurri-Syrjänen, R. 10 2001 Gelfand numbers and widths. Zbl 1266.47034Edmunds, David E.; Lang, Jan 9 2013 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 Differential operators on spaces of variable integrability. Zbl 1336.46003Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 8 2014 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 8 2014 Some \(s\)-numbers of an integral operator of Hardy type on \(L^{p(\cdot)}\) spaces. Zbl 1175.47017Edmunds, D. E.; Lang, J.; Nekvinda, A. 8 2009 Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012Edmunds, David E.; Opic, Bohumír 8 2002 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022Edmunds, David E.; Haroske, Dorothee D. 8 2000 Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024Edmunds, D. E.; Netrusov, Yu. 8 1998 On the singular numbers of certain Volterra integral operators. Zbl 0840.45013Edmunds, D. E.; Stepanov, V. D. 8 1995 Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028Edmunds, D. E.; Triebel, H. 8 1995 Remarks on non-linear functional equations. Zbl 0152.34701Edmunds, D. E. 8 1967 On the existence of solutions of the equations of magnetohydrodynamics. Zbl 0104.43101Dyer, R. H.; Edmunds, D. E. 8 1962 Weighted Hardy inequalities. Zbl 1074.26004Edmunds, D. E.; Hurri-Syrjänen, R. 7 2005 Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 7 2005 Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020Edmunds, David E.; Nekvinda, Aleš 7 2002 A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064Edmunds, D. E.; Popivanov, N. I. 7 1998 Real interpolation and compact linear operators. Zbl 0704.46049Cobos, Fernando; Edmunds, David E.; Potter, Anthony J. B. 7 1990 Remarks on non-linear spectral theory. Zbl 0539.47042Edmunds, D. E.; Webb, J. R. L. 7 1983 Fourier approximation and embeddings of Sobolev spaces. Zbl 0359.42011Edmunds, D. E.; Moscatelli, V. B. 7 1977 Lower bounds for solutions of the Navier-Stokes equations. Zbl 0157.57005Dyer, R. H.; Edmunds, D. E. 7 1968 The Rellich inequality. Zbl 1350.26026Edmunds, D. E.; Evans, W. D. 6 2016 Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027Edmunds, David E.; Netrusov, Yuri 6 2013 On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028Edmunds, D. E.; Hudzik, H.; Krbec, M. 6 2011 Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander 6 2009 On a measure of non-compactness for some classical operators. Zbl 1282.42012Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 Logarithmic spaces and related trace problems. Zbl 0924.46029Edmunds, David; Triebel, Hans 6 1998 Weighted Poincaré inequalities and Minkowski content. Zbl 0846.26011Edmunds, D. E.; Hurri-Syrjänen, R. 6 1995 The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013Edmunds, D. E.; Stepanov, V. D. 6 1994 Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047Edmunds, D. E.; Evans, W. D.; Harris, D. J. 5 2008 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001Edmunds, David E.; Triebel, Hans 5 2008 Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041Edmunds, D. E.; Lang, J. 5 2007 A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2004 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 5 2000 On decomposition in exponential Orlicz spaces. Zbl 0971.46019Edmunds, David E.; Krbec, Miroslav 5 2000 Asymptotically sharp multiplicative inequalities. Zbl 0840.46018Edmunds, D. E.; Ilyin, A. A. 5 1995 Strongly nonlinear elliptic operators in unbounded domains. Zbl 0399.47053Edmunds, D. E.; Moscatelli, V. B.; Webb, J. R. L. 5 1974 Removable singularities of solutions of the Navier-Stokes equations. Zbl 0206.10803Dyer, R. H.; Edmunds, D. E. 5 1970 Removable singularities of solutions of quasi-linear parabolic equations. Zbl 0195.39303Edmunds, D. E.; Peletier, L. A. 5 1970 A Leray-Schauder theorem for a class of nonlinear operators. Zbl 0167.44602Edmunds, D. E.; Webb, J. S. W. 5 1969 Asymptotic behavior of solutions of the Navier-Stokes equations. Zbl 0147.45202Edmunds, D. E. 5 1966 Basis properties of generalized trigonometric functions. Zbl 1311.46008Edmunds, David E.; Gurka, Petr; Lang, Jan 4 2014 Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015Edmunds, D. E.; Netrusov, Yu. 4 2014 The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060Edmunds, D. E.; Lang, J. 4 2010 Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E. 4 2006 Gelfand numbers and metric entropy of convex hulls in Hilbert spaces. Zbl 1054.41018Carl, Bernd; Edmunds, David E. 4 2003 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 4 2002 Entropy of \(C(X)\)-valued operators and diverse applications. Zbl 1031.41013Carl, Bernd; Edmunds, David E. 4 2001 On self-adjointness of the product of two second-order differential operators. Zbl 0934.34017Cao, Zhijiang; Sun, Jiong; Edmunds, D. E. 4 1999 Two-weighted inequalities for singular integrals. Zbl 0839.47022Edmunds, David E.; Kokilashvili, Vakhtang M. 4 1995 Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers. Zbl 0804.35097Edmunds, D. E.; Triebel, H. 4 1994 On some multiplicative inequalities and approximation numbers. Zbl 0818.46027Edmunds, D. E.; Ilyin, A. A. 4 1994 Poincaré and Friedrichs inequalities in abstract Sobolev spaces. Zbl 0799.46040Edmunds, D. E.; Opic, B.; Pick, L. 4 1993 On the entropy numbers of an operator and its adjoint. Zbl 0625.47015Edmunds, David E.; Tylli, Hans-Olav 4 1986 Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš 2 2020 Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 07140570Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 1 2019 Behaviour of \(L_{q}\) norms of the \(\operatorname {sinc}_{p}\) function. Zbl 1404.33021Edmunds, David E.; Melkonian, Houry 1 2019 Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\). Zbl 1425.46017Edmunds, David; Gogatishvili, Amiran; Kopaliani, Tengiz 2 2018 Elliptic differential operators and spectral analysis. Zbl 1436.35003Edmunds, David E.; Evans, W. Desmond 2 2018 Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006Edmunds, David; Evans, Des 2 2018 On the Rellich inequality in \(L^{p(\cdot)}(a,b)\). Zbl 1391.26041Edmunds, David; Meskhi, Alexander 1 2018 Optimal function spaces for the Laplace transform. Zbl 1400.46022Buriánková, Eva; Edmunds, David E.; Pick, Luboš 2 2017 Characterisation of zero trace functions in variable exponent Sobolev spaces. Zbl 1410.46020Edmunds, D. E.; Nekvinda, Aleš 1 2017 The Rellich inequality. Zbl 1350.26026Edmunds, D. E.; Evans, W. D. 6 2016 Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028Edmunds, David E.; Gurka, Petr; Lang, Jan 2 2016 Asymptotic formulae for \(s\)-numbers of a Sobolev embedding and a Volterra type operator. Zbl 1338.47014Edmunds, David E.; Lang, Jan 1 2016 Generalizing trigonometric functions from different points of view. Zbl 1353.33002Edmunds, David E.; Lang, Jan 2 2015 Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001Edmunds, David E.; Evans, W. Desmond 18 2014 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021Edmunds, David E.; Opic, Bohumír 12 2014 Differential operators on spaces of variable integrability. Zbl 1336.46003Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 8 2014 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 8 2014 Basis properties of generalized trigonometric functions. Zbl 1311.46008Edmunds, David E.; Gurka, Petr; Lang, Jan 4 2014 Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015Edmunds, D. E.; Netrusov, Yu. 4 2014 Non-nuclearity of a Sobolev embedding on an interval. Zbl 1301.46012Edmunds, David E.; Lang, Jan 1 2014 Gelfand numbers and widths. Zbl 1266.47034Edmunds, David E.; Lang, Jan 9 2013 Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027Edmunds, David E.; Netrusov, Yuri 6 2013 The structure of compact linear operators in Banach spaces. Zbl 1334.47026Edmunds, D. E.; Evans, W. D.; Harris, D. J. 1 2013 Explicit representation of compact linear operators in Banach spaces via polar sets. Zbl 1277.47027Edmunds, David E.; Lang, Jan 1 2013 Representations of linear operators between Banach spaces. Zbl 1283.47002Edmunds, David E.; Evans, William Desmond 1 2013 Properties of generalized trigonometric functions. Zbl 1241.42019Edmunds, David E.; Gurka, Petr; Lang, Jan 34 2012 Remarks on generalized trigonometric functions. Zbl 1246.33001Bushell, P. J.; Edmunds, D. E. 28 2012 Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001Lang, Jan; Edmunds, David 42 2011 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 17 2011 Entropy numbers and interpolation. Zbl 1236.46017Edmunds, D. E.; Netrusov, Yu. 10 2011 On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028Edmunds, D. E.; Hudzik, H.; Krbec, M. 6 2011 The improved Hardy inequality. Zbl 1235.46037Edmunds, David E.; Hurri-Syrjänen, Ritva 1 2011 Coincidence of strict \(s\)-numbers of weighted Hardy operators. Zbl 1219.47033Edmunds, David; Lang, Jan 1 2011 The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060Edmunds, D. E.; Lang, J. 4 2010 A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019Edmunds, D. E.; Evans, W. D.; Harris, D. J. 3 2010 Entropy numbers of limiting embeddings of logarithmic Sobolev spaces into exponential spaces. Zbl 1195.46031Edmunds, David E.; Gurka, Petr 2 2010 Embeddings, Hardy operators and nonlinear problems. Zbl 1208.46031Edmunds, D. E. 1 2010 Some \(s\)-numbers of an integral operator of Hardy type on \(L^{p(\cdot)}\) spaces. Zbl 1175.47017Edmunds, D. E.; Lang, J.; Nekvinda, A. 8 2009 Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander 6 2009 Generalized trigonometric functions from different points of view. Zbl 1265.33001Edmunds, David; Lang, Jan 1 2009 Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047Edmunds, D. E.; Evans, W. D.; Harris, D. J. 5 2008 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001Edmunds, David E.; Triebel, Hans 5 2008 Alternative characterizations of Lorentz–Karamata spaces. Zbl 1174.46019Edmunds, D. E.; Opic, B. 3 2008 One-sided operators in \(L^{p (x)}\) spaces. Zbl 1214.42027Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 1 2008 Asymptotics for eigenvalues of a non-linear integral system. Zbl 1164.45004Edmunds, D. E.; Lang, J. 1 2008 Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041Edmunds, D. E.; Lang, J. 5 2007 Sharp estimates of the embedding constants for Besov spaces \(b^s_{p,q}\), \(0<p<1\). Zbl 1137.46019Edmunds, David E.; Evans, W. Desmond; Karadzhov, Gyorgi E. 3 2007 Operators of Hardy type. Zbl 1127.47032Edmunds, D. E.; Lang, J. 1 2007 Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035Edmunds, D. E.; Lang, J. 14 2006 On a measure of non-compactness for some classical operators. Zbl 1282.42012Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E. 4 2006 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 Two-weight estimates in \(L^{p(x)}\) spaces for classical integral operators and applications to the norm summability of Fourier trigonometric series. Zbl 1176.42016Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 2 2006 Spectral problems on arbitrary open subsets of \(\mathbb R^n\) involving the distance to the boundary. Zbl 1110.46022Edmunds, D. E.; Evans, W. D. 1 2006 On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 24 2005 Weighted Hardy inequalities. Zbl 1074.26004Edmunds, D. E.; Hurri-Syrjänen, R. 7 2005 Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 7 2005 Formulae for the distance in some quasi-Banach spaces. Zbl 1154.46304Edmunds, David E.; Karadzhov, Georgi E. 2 2005 The inner variation of an operator and the essential norms of pointwise multipliers in function spaces. Zbl 1083.47012Edmunds, D. E.; Shargorodsky, E. 1 2005 Variations on Yano’s extrapolation theorem. Zbl 1084.46022Edmunds, David E.; Krbec, Miroslav 1 2005 Hardy operators, function spaces and embeddings. Zbl 1099.46002Edmunds, David E.; Evans, W. Desmond 88 2004 Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016Edmunds, D. E.; Lang, J. 11 2004 A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2004 Rellich’s theorem in irregular domains. Zbl 1063.46023Edmunds, David E.; Hurri-Syrjänen, Ritva 3 2004 Gelfand numbers and metric entropy of convex hulls in Hilbert spaces. Zbl 1054.41018Carl, Bernd; Edmunds, David E. 4 2003 On a measure of non-compactness for maximal operators. Zbl 1029.42009Edmunds, D. E.; Meskhi, A. 3 2003 Equivalent quasi-norms on Lorentz spaces. Zbl 1023.46025Edmunds, David E.; Opic, Bohumír 2 2003 Sobolev embeddings with variable exponent. II. Zbl 1030.46033Edmunds, David E.; Rákosník, Jiří 69 2002 Bounded and compact integral operators. Zbl 1023.42001Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 69 2002 Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033Edmunds, D. E.; Meshki, A. 10 2002 Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012Edmunds, David E.; Opic, Bohumír 8 2002 Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020Edmunds, David E.; Nekvinda, Aleš 7 2002 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 4 2002 Sobolev inequalities of exponential type. Zbl 0991.46019Edmunds, D. E.; Hurri-Syrjänen, R. 10 2001 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 Entropy of \(C(X)\)-valued operators and diverse applications. Zbl 1031.41013Carl, Bernd; Edmunds, David E. 4 2001 Sobolev embeddings with variable exponent. Zbl 0974.46040Edmunds, David E.; Rákosník, Jiří 196 2000 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019Edmunds, D. E.; Kerman, R.; Pick, L. 91 2000 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022Edmunds, David E.; Haroske, Dorothee D. 8 2000 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 5 2000 On decomposition in exponential Orlicz spaces. Zbl 0971.46019Edmunds, David E.; Krbec, Miroslav 5 2000 Two-weight estimates for singular integrals defined on spaces of homogeneous type. Zbl 0959.47018Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 2 2000 Function spaces and applications. Mainly the proceedings of the international conference on function spaces and applications to partial differential equations, New Delhi, India, December 15–19, 1997. Zbl 0958.00028Edmunds, David E. (ed.); Jain, Pawan K. (ed.); Jain, Pankaj (ed.); Kufner, Alois (ed.); Persson, Lars-Erik (ed.); Saitoh, Saburou (ed.) 1 2000 Coverings of convex sets and volume inequalities. Zbl 0951.52005Carl, B.; Edmunds, D. 1 2000 On \(L^{p(x)}\) norms. Zbl 0953.46018Edmunds, D. E.; Lang, J.; Nekvinda, A. 81 1999 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031Edmunds, David E.; Triebel, Hans 26 1999 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012Edmunds, David; Triebel, Hans 15 1999 Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026Edmunds, D. E.; Haroske, D. 14 1999 On self-adjointness of the product of two second-order differential operators. Zbl 0934.34017Cao, Zhijiang; Sun, Jiong; Edmunds, D. E. 4 1999 On a higher-order Hardy inequality. Zbl 0936.31010Edmunds, David E.; Rákosník, Jiří 2 1999 Spectral theory for isotropic fractal drums. Zbl 0920.47044Edmunds, David; Triebel, Hans 24 1998 Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020Edmunds, David E.; Gurka, Petr; Opic, Bohumír 15 1998 Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024Edmunds, D. E.; Netrusov, Yu. 8 1998 A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064Edmunds, D. E.; Popivanov, N. I. 7 1998 Logarithmic spaces and related trace problems. Zbl 0924.46029Edmunds, David; Triebel, Hans 6 1998 Boundedness and compactness of Hardy-type operators in Banach function spaces. Zbl 1002.42014Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 2 1998 On Hardy-type inequalities. Zbl 0915.46027Edmunds, D. E.; Hurri-Syrjänen, R. 2 1998 On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036Edmunds, David E.; Gurka, Petr; Opic, Bohumír 34 1997 Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043Edmunds, D. E.; Evans, W. D.; Harris, D. J. 16 1997 Remarks on the Hardy inequality. Zbl 0912.46035Edmunds, D. E.; Hurri-Syrjänen, R. 3 1997 ...and 82 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,745 Authors 63 Edmunds, David Eric 37 Cobos, Fernando 35 Meskhi, Alexander 30 Cianchi, Andrea 30 Kokilashvili, Vakhtang Mikhailovich 26 Lang, Jan 24 Haroske, Dorothee D. 23 Rădulescu, Vicenţiu D. 23 Shimomura, Tetsu 22 Pick, Luboš 22 Triebel, Hans 21 Kühn, Thomas 21 Mihăilescu, Mihai 21 Opic, Bohumír 21 Skrzypczak, Leszek 20 Sickel, Winfried 19 Gesztesy, Fritz 18 Gogatishvili, Amiran 18 Vasil’eva, Anastasiya Andreevna 17 Mizuta, Yoshihiro 16 Tang, Xianhua 14 Fu, Yongqiang 14 Gurka, Petr 14 Ohno, Takao 13 Evans, William Desmond 13 Fernández-Cabrera, Luz M. 13 Hurri-Syrjānen, Ritva 13 Samko, Stefan Grigorievich 12 Ge, Bin 12 Mitrea, Marius 12 Domingues de Moura, Susana 12 Vybíral, Jan 11 Caetano, António M. 11 Černý, Robert 11 Dominguez, Oscar 11 Fan, Xianling 11 Ho, Kwok-Pun 11 Krejčiřík, David 11 Siegl, Petr 11 Tretter, Christiane 10 Hästö, Peter A. 10 Mamedov, Farman Imran 10 Mastyło, Mieczysław 10 Neves, Júlio Severino 10 Sun, Jiong 9 Ibrahim, Sobhy El-Sayed 9 Kefi, Khaled 9 Martínez Martínez, Antón 9 Maz’ya, Vladimir Gilelevich 9 Takeuchi, Shingo 9 Yang, Dachun 8 Aouaoui, Sami 8 Chiappinelli, Raffaele 8 Harjulehto, Petteri 8 Leopold, Hans-Gerd 8 Nekvinda, Aleš 8 Pucci, Patrizia 8 Sawano, Yoshihiro 8 Steinwart, Ingo 8 Stuart, Charles Alexander 8 Ullrich, Tino 8 Ushakova, Elena Pavlovna 8 Vähäkangas, Antti V. 8 Yuan, Wen 8 Zhou, Qingmei 7 Ahmed, Irshaad 7 Fernández-Martínez, Pedro 7 Fiorenza, Alberto 7 Fleckinger, Jacqueline 7 Galdi, Giovanni Paolo 7 Guliyev, Vagif Sabir 7 Karadzhov, Georgi Eremiev 7 Méndez, Osvaldo 7 Petryshyn, Walter Wolodymyr 7 Popivanov, Nedyu Iv. 7 Pustylnik, Evgeniy 7 Ricker, Werner Joseph 7 Rionero, Salvatore 7 Ruf, Bernhard 7 Schneider, Cornelia 7 Tuominen, Heli 6 Almeida, Alexandre 6 Antontsev, Stanislav Nikolaevich 6 Bandaliev, Rovshan Alifaga ogly 6 Bhayo, Barkat Ali 6 Curbera, Guillermo P. 6 Diening, Lars 6 Krbec, Miroslav 6 Milman, Mario Marcos 6 Musil, Vít 6 Pastukhova, Svetlana Evgenievna 6 Popov, Todor 6 Slavíková, Lenka 6 Sun, Huaqing 6 Wadade, Hidemitsu 5 Allaoui, Mostafa 5 Alziary, Bénédicte 5 Behrndt, Jussi 5 Besoy, Blanca F. 5 Bocea, Marian F. ...and 1,645 more Authors all top 5 Cited in 301 Serials 158 Journal of Mathematical Analysis and Applications 89 Journal of Functional Analysis 82 Nonlinear Analysis. 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Analyse Non Linéaire 12 Journal of Function Spaces 11 Journal d’Analyse Mathématique 11 Positivity 10 Mathematical Methods in the Applied Sciences 10 Russian Journal of Mathematical Physics 9 Mathematische Annalen 9 Georgian Mathematical Journal 9 Journal of Function Spaces and Applications 8 Computers & Mathematics with Applications 8 Studia Mathematica 8 Applied Mathematics and Computation 8 Siberian Mathematical Journal 8 Revista Matemática Iberoamericana 8 Applied Mathematics Letters 8 Discrete and Continuous Dynamical Systems 8 Fractional Calculus & Applied Analysis 8 Nonlinear Analysis. 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Series II 5 Acta Mathematica Hungarica 5 Forum Mathematicum 5 Doklady Mathematics 5 Taiwanese Journal of Mathematics 5 Journal of Mathematical Fluid Mechanics 5 Communications in Contemporary Mathematics 5 Advanced Nonlinear Studies 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Banach Journal of Mathematical Analysis 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Transactions of A. Razmadze Mathematical Institute 4 Communications in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Annales de l’Institut Fourier 4 The Annals of Statistics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Glasgow Mathematical Journal 4 International Journal of Mathematics and Mathematical Sciences 4 Numerical Functional Analysis and Optimization 4 Applied Numerical Mathematics ...and 201 more Serials all top 5 Cited in 50 Fields 708 Partial differential equations (35-XX) 699 Functional analysis (46-XX) 489 Operator theory (47-XX) 233 Harmonic analysis on Euclidean spaces (42-XX) 177 Real functions (26-XX) 117 Ordinary differential equations (34-XX) 103 Global analysis, analysis on manifolds (58-XX) 89 Approximations and expansions (41-XX) 78 Fluid mechanics (76-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 49 Potential theory (31-XX) 49 Quantum theory (81-XX) 48 Probability theory and stochastic processes (60-XX) 48 Numerical analysis (65-XX) 38 Dynamical systems and ergodic theory (37-XX) 36 Statistics (62-XX) 33 Special functions (33-XX) 29 Integral equations (45-XX) 20 Measure and integration (28-XX) 20 Differential geometry (53-XX) 19 Functions of a complex variable (30-XX) 19 Computer science (68-XX) 16 Abstract harmonic analysis (43-XX) 15 Statistical mechanics, structure of matter (82-XX) 15 Biology and other natural sciences (92-XX) 14 Difference and functional equations (39-XX) 12 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Topological groups, Lie groups (22-XX) 9 Integral transforms, operational calculus (44-XX) 8 Information and communication theory, circuits (94-XX) 6 Mechanics of particles and systems (70-XX) 5 Convex and discrete geometry (52-XX) 5 Systems theory; control (93-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Relativity and gravitational theory (83-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Number theory (11-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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