Edit Profile (opens in new tab) Edmunds, David Eric Compute Distance To: Compute Author ID: edmunds.david-eric Published as: Edmunds, D. E.; Edmunds, David E.; Edmunds, David; Edmunds, David Eric; Edmunds, D.; Edmunds, D. E Homepage: https://davidedmundsmathematics.wordpress.com/about/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 241 Publications since 1956, including 13 Books 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 71 Co-Authors with 221 Joint Publications 1,231 Co-Co-Authors all top 5 Co-Authors 20 single-authored 28 Evans, William Desmond 25 Lang, Jan 19 Meskhi, Alexander 16 Kokilashvili, Vakhtang Mikhailovich 15 Opic, Bohumír 14 Gurka, Petr 13 Triebel, Hans 10 Dyer, Robert H. 9 Hurri-Syrjānen, Ritva 9 Rákosník, Jiří 8 Harris, Desmond John 7 Moscatelli, Vincenzo Bruno 6 Edmunds, R. M. 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 Bushell, Peter John 2 Cao, Zhijiang 2 Chiappinelli, Raffaele 2 Cianchi, Andrea 2 Fleckinger, Jacqueline 2 Fortunato, Donato 2 Gogatishvili, Amiran 2 Haroske, Dorothee D. 2 Jannelli, Enrico 2 Kauffman, Robert M. 2 Kerman, Ron 2 Kopaliani, Tengiz 2 Melkonian, Houry 2 Mihula, Zdeněk 2 Popivanov, Nedyu Iv. 2 Potter, Anthony J. B. 2 Stuart, Charles Alexander 2 Tylli, Hans-Olav 1 Ahmed, Irshaad 1 Buriánková, Eva 1 Butzer, Paul Leo 1 de Groen, Pieter P. N. 1 Downs, A. S. 1 Dyer, R. H. 1 Fiorenza, Alberto 1 Hinton, Don Barker 1 Hudzik, Henryk 1 Jain, Pankaj 1 Jain, Pawan Kumar 1 Kühn, Thomas 1 Lewis, Roger T. 1 Méndez, Osvaldo 1 Meshki, A. 1 Musil, Vít 1 Mustonen, Vesa 1 Nessel, Rolf Joachim 1 Persson, Lars-Erik 1 Saitoh, Saburou 1 Samashvili, Nino 1 Serrin, James 1 Shargorodsky, Eugene 1 Sun, Jion 1 Szőkefalvi-Nagy, Béla 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 Approximation Theory 8 Journal of Functional Analysis 7 Archive for Rational Mechanics and Analysis 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 Mathematical Inequalities & 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 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Results in Mathematics 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 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 Mathematics and its Applications (Dordrecht) 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 Transactions of A. Razmadze Mathematical Institute 1 Springer Undergraduate Mathematics Series 1 London Mathematical Society. Newsletter all top 5 Fields 128 Functional analysis (46-XX) 105 Operator theory (47-XX) 57 Partial differential equations (35-XX) 37 Real functions (26-XX) 29 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 History and biography (01-XX) 2 Potential theory (31-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 Open 184 Publications have been cited 2,855 times in 1,970 Documents Cited by ▼ Year ▼ Spectral theory and differential operators. Zbl 0628.47017Edmunds, D. E.; Evans, W. D. 391 1987 Sobolev embeddings with variable exponent. Zbl 0974.46040Edmunds, David E.; Rákosník, Jiří 232 2000 Function spaces, entropy numbers, differential operators. Zbl 0865.46020Edmunds, David E.; Triebel, Hans 197 1996 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. 97 2000 Critical exponents, critical dimensions and the biharmonic operator. Zbl 0724.35044Edmunds, D. E.; Fortunato, D.; Jannelli, E. 85 1990 On \(L^{p(x)}\) norms. Zbl 0953.46018Edmunds, D. E.; Lang, J.; Nekvinda, A. 83 1999 Hardy operators, function spaces and embeddings. Zbl 1099.46002Edmunds, David E.; Evans, W. Desmond 80 2004 Sobolev embeddings with variable exponent. II. Zbl 1030.46033Edmunds, David E.; Rákosník, Jiří 75 2002 Bounded and compact integral operators. Zbl 1023.42001Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 73 2002 Density of smooth functions in \(W^{k,p(x)}({\Omega{}})\). Zbl 0779.46027Edmunds, David E.; Rákosník, Jiří 72 1992 Spectral theory and differential operators. Paperback ed. Zbl 0664.47014Edmunds, D. E.; Evans, W. D. 59 1989 Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034Edmunds, D. E; Triebel, H. 54 1989 Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001Lang, Jan; Edmunds, David 46 2011 Properties of generalized trigonometric functions. Zbl 1241.42019Edmunds, David E.; Gurka, Petr; Lang, Jan 43 2012 Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 41 1995 On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036Edmunds, David E.; Gurka, Petr; Opic, Bohumír 33 1997 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031Edmunds, David E.; Triebel, Hans 31 1999 Remarks on generalized trigonometric functions. Zbl 1246.33001Bushell, P. J.; Edmunds, D. E. 30 2012 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 26 1994 Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031Edmunds, D. E.; Evans, W. D. 26 1979 Spectral theory for isotropic fractal drums. Zbl 0920.47044Edmunds, David; Triebel, Hans 24 1998 Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001Edmunds, David E.; Evans, W. Desmond 24 2014 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 Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024Edmunds, David E.; Gurka, Petr; Opic, Bohumír 23 1996 Non-compact positive operators. Zbl 0232.47035Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A. 22 1972 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 21 2011 Two limiting cases of Sobolev imbeddings. Zbl 0835.46027Edmunds, D. E.; Krbec, M. 20 1995 Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043Edmunds, D. E.; Evans, W. D.; Harris, D. J. 17 1997 Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027Edmunds, D. E.; Evans, W. D. 16 1974 Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035Edmunds, D. E.; Lang, J. 15 2006 Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020Edmunds, David E.; Gurka, Petr; Opic, Bohumír 15 1998 On weighted Poincaré inequalities. Zbl 0858.26009Cianchi, Andrea; Edmunds, David E.; Gurka, Petr 15 1996 Interpolation theory and measures of non-compactness. Zbl 0492.46062Teixeira, M. F.; Edmunds, D. E. 15 1981 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012Edmunds, David; Triebel, Hans 14 1999 Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026Edmunds, D. E.; Haroske, D. 14 1999 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021Edmunds, David E.; Opic, Bohumír 14 2014 A Harnack inequality for weak solutions of degenerate quasilinear elliptic equations. Zbl 0234.35030Edmunds, D. E.; Peletier, L. A. 13 1972 Approximation numbers of certain Volterra integral operators. Zbl 0658.47049Edmunds, D. E.; Evans, W. D.; Harris, D. J. 13 1988 The Rellich inequality. Zbl 1350.26026Edmunds, D. E.; Evans, W. D. 12 2016 Quasilinear elliptic problems in unbounded domains. Zbl 0263.35034Edmunds, D. E.; Webb, J. R. L. 12 1973 Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033Edmunds, D. E.; Meshki, A. 11 2002 Weighted Poincaré and Friedrichs inequalities. Zbl 0797.46027Edmunds, D. E.; Opic, B. 11 1993 Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016Edmunds, D. E.; Lang, J. 11 2004 Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006Edmunds, David; Evans, Des 11 2018 On the uniqueness of viscous flows. Zbl 0126.42302Edmunds, D. 11 1963 Sobolev inequalities of exponential type. Zbl 0991.46019Edmunds, D. E.; Hurri-Syrjänen, R. 10 2001 On the singular numbers of certain Volterra integral operators. Zbl 0840.45013Edmunds, D. E.; Stepanov, V. D. 10 1995 Differential operators on spaces of variable integrability. Zbl 1336.46003Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 10 2014 Entropy numbers and interpolation. Zbl 1236.46017Edmunds, D. E.; Netrusov, Yu. 10 2011 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 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022Edmunds, David E.; Haroske, Dorothee D. 9 2000 Some \(s\)-numbers of an integral operator of Hardy type on \(L^{p(\cdot)}\) spaces. Zbl 1175.47017Edmunds, D. E.; Lang, J.; Nekvinda, A. 9 2009 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 9 2014 Weighted Hardy inequalities. Zbl 1074.26004Edmunds, D. E.; Hurri-Syrjänen, R. 9 2005 Gelfand numbers and widths. Zbl 1266.47034Edmunds, David E.; Lang, Jan 9 2013 Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020Edmunds, David E.; Nekvinda, Aleš 8 2002 Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024Edmunds, D. E.; Netrusov, Yu. 8 1998 Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028Edmunds, D. E.; Triebel, H. 8 1995 Real interpolation and compact linear operators. Zbl 0704.46049Cobos, Fernando; Edmunds, David E.; Potter, Anthony J. B. 8 1990 Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012Edmunds, David E.; Opic, Bohumír 8 2002 Remarks on non-linear functional equations. Zbl 0152.34701Edmunds, D. E. 8 1967 Lower bounds for solutions of the Navier-Stokes equations. Zbl 0157.57005Dyer, R. H.; Edmunds, D. E. 8 1968 Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 8 2005 A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064Edmunds, D. E.; Popivanov, N. I. 7 1998 Fourier approximation and embeddings of Sobolev spaces. Zbl 0359.42011Edmunds, D. E.; Moscatelli, V. B. 7 1977 Remarks on non-linear spectral theory. Zbl 0539.47042Edmunds, D. E.; Webb, J. R. L. 7 1983 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001Edmunds, David E.; Triebel, Hans 7 2008 On the existence of solutions of the equations of magnetohydrodynamics. Zbl 0104.43101Dyer, R. H.; Edmunds, D. E. 7 1962 Logarithmic spaces and related trace problems. Zbl 0924.46029Edmunds, David; Triebel, Hans 6 1998 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 6 2000 The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013Edmunds, D. E.; Stepanov, V. D. 6 1994 Weighted Poincaré inequalities and Minkowski content. Zbl 0846.26011Edmunds, D. E.; Hurri-Syrjänen, R. 6 1995 Basis properties of generalized trigonometric functions. Zbl 1311.46008Edmunds, David E.; Gurka, Petr; Lang, Jan 6 2014 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 Removable singularities of solutions of quasi-linear parabolic equations. Zbl 0195.39303Edmunds, D. E.; Peletier, L. A. 6 1970 On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028Edmunds, D. E.; Hudzik, H.; Krbec, M. 6 2011 Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027Edmunds, David E.; Netrusov, Yuri 6 2013 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 5 2002 On decomposition in exponential Orlicz spaces. Zbl 0971.46019Edmunds, David E.; Krbec, Miroslav 5 2000 Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041Edmunds, D. E.; Lang, J. 5 2007 Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš 5 2020 Asymptotically sharp multiplicative inequalities. Zbl 0840.46018Edmunds, D. E.; Ilyin, A. A. 5 1995 Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2019 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 Removable singularities of solutions of the Navier-Stokes equations. Zbl 0206.10803Dyer, R. H.; Edmunds, D. E. 5 1970 A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2004 Asymptotic behavior of solutions of the Navier-Stokes equations. Zbl 0147.45202Edmunds, D. E. 5 1966 Asymptotic behaviour of solutions of the stationary Navier-Stokes equations. Zbl 0162.41104Dyer, R. H.; Edmunds, D. E. 5 1969 A Leray-Schauder theorem for a class of nonlinear operators. Zbl 0167.44602Edmunds, D. E.; Webb, J. S. W. 5 1969 Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028Edmunds, David E.; Gurka, Petr; Lang, Jan 4 2016 Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E. 4 2006 On some multiplicative inequalities and approximation numbers. Zbl 0818.46027Edmunds, D. E.; Ilyin, A. A. 4 1994 Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers. Zbl 0804.35097Edmunds, D. E.; Triebel, H. 4 1994 Two-weighted inequalities for singular integrals. Zbl 0839.47022Edmunds, David E.; Kokilashvili, Vakhtang M. 4 1995 Strongly nonlinear elliptic operators in unbounded domains. Zbl 0399.47053Edmunds, D. E.; Moscatelli, V. B.; Webb, J. R. L. 4 1974 On self-adjointness of the product of two second-order differential operators. Zbl 0934.34017Cao, Zhijiang; Sun, Jiong; Edmunds, D. E. 4 1999 Poincaré and Friedrichs inequalities in abstract Sobolev spaces. Zbl 0799.46040Edmunds, D. E.; Opic, B.; Pick, L. 4 1993 Embeddings in grand variable exponent function spaces. Zbl 1480.46050Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 1 2021 Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš 5 2020 Nuclear embeddings of Besov spaces into Zygmund spaces. Zbl 1445.46035Cobos, Fernando; Edmunds, David E.; Kühn, Thomas 2 2020 Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2019 Behaviour of \(L_{q}\) norms of the \(\operatorname {sinc}_{p}\) function. Zbl 1404.33021Edmunds, David E.; Melkonian, Houry 2 2019 Two-weighted Hardy operators in \(L^{p(\cdot)}\) spaces and applications. Zbl 07118347Edmunds, David E.; Meskhi, Alexander 2 2019 Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006Edmunds, David; Evans, Des 11 2018 Elliptic differential operators and spectral analysis. Zbl 1436.35003Edmunds, David E.; Evans, W. Desmond 3 2018 Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\). Zbl 1425.46017Edmunds, David; Gogatishvili, Amiran; Kopaliani, Tengiz 3 2018 On the Rellich inequality in \(L^{p(\cdot)}(a,b)\). Zbl 1391.26041Edmunds, David; Meskhi, Alexander 2 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 2 2017 The Rellich inequality. Zbl 1350.26026Edmunds, D. E.; Evans, W. D. 12 2016 Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028Edmunds, David E.; Gurka, Petr; Lang, Jan 4 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 1 2015 Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001Edmunds, David E.; Evans, W. Desmond 24 2014 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021Edmunds, David E.; Opic, Bohumír 14 2014 Differential operators on spaces of variable integrability. Zbl 1336.46003Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 10 2014 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 9 2014 Basis properties of generalized trigonometric functions. Zbl 1311.46008Edmunds, David E.; Gurka, Petr; Lang, Jan 6 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 3 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 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 The structure of compact linear operators in Banach spaces. Zbl 1334.47026Edmunds, D. E.; Evans, W. D.; Harris, D. J. 1 2013 Properties of generalized trigonometric functions. Zbl 1241.42019Edmunds, David E.; Gurka, Petr; Lang, Jan 43 2012 Remarks on generalized trigonometric functions. Zbl 1246.33001Bushell, P. J.; Edmunds, D. E. 30 2012 Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001Lang, Jan; Edmunds, David 46 2011 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 21 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. 9 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 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001Edmunds, David E.; Triebel, Hans 7 2008 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 Alternative characterizations of Lorentz–Karamata spaces. Zbl 1174.46019Edmunds, D. E.; Opic, B. 3 2008 Asymptotics for eigenvalues of a non-linear integral system. Zbl 1164.45004Edmunds, D. E.; Lang, J. 1 2008 One-sided operators in \(L^{p (x)}\) spaces. Zbl 1214.42027Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 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. 15 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. 9 2005 Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 8 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. 2 2005 Variations on Yano’s extrapolation theorem. Zbl 1084.46022Edmunds, David E.; Krbec, Miroslav 2 2005 Hardy operators, function spaces and embeddings. Zbl 1099.46002Edmunds, David E.; Evans, W. Desmond 80 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 75 2002 Bounded and compact integral operators. Zbl 1023.42001Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 73 2002 Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033Edmunds, D. E.; Meshki, A. 11 2002 Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020Edmunds, David E.; Nekvinda, Aleš 8 2002 Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012Edmunds, David E.; Opic, Bohumír 8 2002 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 5 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 232 2000 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019Edmunds, D. E.; Kerman, R.; Pick, L. 97 2000 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022Edmunds, David E.; Haroske, Dorothee D. 9 2000 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 6 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 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. 83 1999 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031Edmunds, David E.; Triebel, Hans 31 1999 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012Edmunds, David; Triebel, Hans 14 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 On Hardy-type inequalities. Zbl 0915.46027Edmunds, D. E.; Hurri-Syrjänen, R. 2 1998 Boundedness and compactness of Hardy-type operators in Banach function spaces. Zbl 1002.42014Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 2 1998 On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036Edmunds, David E.; Gurka, Petr; Opic, Bohumír 33 1997 ...and 84 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,885 Authors 68 Edmunds, David Eric 41 Cobos, Fernando 41 Meskhi, Alexander 33 Kokilashvili, Vakhtang Mikhailovich 32 Cianchi, Andrea 29 Lang, Jan 28 Haroske, Dorothee D. 25 Pick, Luboš 24 Rădulescu, Vicenţiu D. 24 Skrzypczak, Leszek 23 Shimomura, Tetsu 23 Triebel, Hans 21 Gesztesy, Fritz 21 Mihăilescu, Mihai 21 Opic, Bohumír 20 Kühn, Thomas 20 Sickel, Winfried 18 Gogatishvili, Amiran 18 Tang, Xianhua 17 Mizuta, Yoshihiro 15 Fernández-Cabrera, Luz M. 15 Fu, Yongqiang 15 Vasil’eva, Anastasiya Andreevna 14 Evans, William Desmond 14 Ge, Bin 14 Gurka, Petr 14 Ohno, Takao 13 Hurri-Syrjānen, Ritva 13 Kefi, Khaled 13 Samko, Stefan Grigorievich 13 Tretter, Christiane 13 Vybíral, Jan 12 Dominguez, Oscar 12 Ho, Kwok-Pun 12 Mitrea, Marius 12 Domingues de Moura, Susana 11 Caetano, António M. 11 Černý, Robert 11 Fan, Xianling 11 Krejčiřík, David 11 Martínez Martínez, Antón 11 Siegl, Petr 11 Takeuchi, Shingo 10 Hästö, Peter A. 10 Mamedov, Farman Imran 10 Neves, Júlio Severino 10 Sun, Jiong 9 Aouaoui, Sami 9 Fernández-Martínez, Pedro 9 Fiorenza, Alberto 9 Ibrahim, Sobhy El-Sayed 9 Leopold, Hans-Gerd 9 Mastyło, Mieczysław 9 Maz’ya, Vladimir Gilelevich 9 Ullrich, Tino 9 Ushakova, Elena Pavlovna 9 Yang, Dachun 8 Ahmed, Irshaad 8 Chiappinelli, Raffaele 8 Harjulehto, Petteri 8 Nekvinda, Aleš 8 Pucci, Patrizia 8 Sawano, Yoshihiro 8 Schneider, Cornelia 8 Steinwart, Ingo 8 Stuart, Charles Alexander 8 Sun, Huaqing 8 Vähäkangas, Antti V. 8 Yuan, Wen 8 Zhou, Qingmei 7 Bandaliev, Rovshan Alifaga ogly 7 Besoy, Blanca F. 7 Fleckinger, Jacqueline 7 Galdi, Giovanni Paolo 7 Guliyev, Vagif Sabir 7 Guo, Yuxia 7 Karadzhov, Georgi Eremiev 7 Méndez, Osvaldo 7 Musil, Vít 7 Petryshyn, Walter Wolodymyr 7 Popivanov, Nedyu Iv. 7 Pustylnik, Evgeniy 7 Ricker, Werner Joseph 7 Ruf, Bernhard 7 Signes, Teresa M. 7 Slavíková, Lenka 7 Tuominen, Heli 6 Almeida, Alexandre 6 Antontsev, Stanislav Nikolaevich 6 Bhayo, Barkat Ali 6 Curbera, Guillermo P. 6 Diening, Lars 6 Hinrichs, Aicke 6 Kopaliani, Tengiz 6 Krbec, Miroslav 6 Lam, Nguyen 6 Latushkin, Yuri 6 Milman, Mario Marcos 6 Nguyen Tuan Duy 6 Pastukhova, Svetlana Evgenievna ...and 1,785 more Authors all top 5 Cited in 329 Serials 169 Journal of Mathematical Analysis and Applications 93 Journal of Functional Analysis 82 Nonlinear Analysis. 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RACSAM 5 Bulletin of the Australian Mathematical Society 5 Communications in Mathematical Physics 5 Glasgow Mathematical Journal 5 Journal of Soviet Mathematics 5 Mathematika 5 Monatshefte für Mathematik 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Acta Mathematica Hungarica 5 Doklady Mathematics 5 Taiwanese Journal of Mathematics 5 Journal of Mathematical Fluid Mechanics 5 Communications in Contemporary Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Mathematical Inequalities 5 Electronic Journal of Statistics 5 Advances in Mathematical Physics 5 Annals of Functional Analysis 4 Indian Journal of Pure & Applied Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society ...and 229 more Serials all top 5 Cited in 50 Fields 787 Partial differential equations (35-XX) 764 Functional analysis (46-XX) 536 Operator theory (47-XX) 251 Harmonic analysis on Euclidean spaces (42-XX) 199 Real functions (26-XX) 125 Ordinary differential equations (34-XX) 106 Global analysis, analysis on manifolds (58-XX) 99 Approximations and expansions (41-XX) 83 Fluid mechanics (76-XX) 57 Probability theory and stochastic processes (60-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 53 Potential theory (31-XX) 51 Quantum theory (81-XX) 49 Numerical analysis (65-XX) 45 Dynamical systems and ergodic theory (37-XX) 42 Special functions (33-XX) 41 Statistics (62-XX) 31 Integral equations (45-XX) 24 Measure and integration (28-XX) 22 Computer science (68-XX) 21 Functions of a complex variable (30-XX) 20 Differential geometry (53-XX) 18 Abstract harmonic analysis (43-XX) 17 Difference and functional equations (39-XX) 17 Biology and other natural sciences (92-XX) 15 Mechanics of deformable solids (74-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Optics, electromagnetic theory (78-XX) 11 Information and communication theory, circuits (94-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Topological groups, Lie groups (22-XX) 10 Integral transforms, operational calculus (44-XX) 6 Convex and discrete geometry (52-XX) 6 Mechanics of particles and systems (70-XX) 5 Relativity and gravitational theory (83-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Number theory (11-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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