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 more...less Homepage: https://davidedmundsmathematics.wordpress.com/about/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 245 Publications since 1956, including 14 Books 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 71 Co-Authors with 225 Joint Publications 1,253 Co-Co-Authors all top 5 Co-Authors 20 single-authored 30 Evans, William Desmond 26 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 7 Nekvinda, Aleš 6 Edmunds, R. M. 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 Gogatishvili, Amiran 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 Haroske, Dorothee D. 2 Jannelli, Enrico 2 Kauffman, Robert M. 2 Kerman, Ron 2 Kopaliani, Tengiz 2 Lewis, Roger T. 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 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 Studia Mathematica 10 Journal of the London Mathematical Society. Second Series 9 Journal of Approximation Theory 9 Revista Matemática Complutense 8 Journal of Mathematical Analysis and Applications 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 Cambridge Tracts in Mathematics 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 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 Pure and Applied Functional Analysis 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 131 Functional analysis (46-XX) 107 Operator theory (47-XX) 57 Partial differential equations (35-XX) 40 Real functions (26-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 18 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 186 Publications have been cited 3,012 times in 2,065 Documents Cited by ▼ Year ▼ Spectral theory and differential operators. Zbl 0628.47017Edmunds, D. E.; Evans, W. D. 407 1987 Sobolev embeddings with variable exponent. Zbl 0974.46040Edmunds, David E.; Rákosník, Jiří 253 2000 Function spaces, entropy numbers, differential operators. Zbl 0865.46020Edmunds, David E.; Triebel, Hans 201 1996 Entropy numbers and approximation numbers in function spaces. II. Zbl 0778.46022Edmunds, D. E.; Triebel, H. 144 1992 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019Edmunds, D. E.; Kerman, R.; Pick, L. 100 2000 Critical exponents, critical dimensions and the biharmonic operator. Zbl 0724.35044Edmunds, D. E.; Fortunato, D.; Jannelli, E. 93 1990 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. 85 1999 Sobolev embeddings with variable exponent. II. Zbl 1030.46033Edmunds, David E.; Rákosník, Jiří 84 2002 Bounded and compact integral operators. Zbl 1023.42001Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 77 2002 Density of smooth functions in \(W^{k,p(x)}({\Omega{}})\). Zbl 0779.46027Edmunds, David E.; Rákosník, Jiří 75 1992 Spectral theory and differential operators. Paperback ed. Zbl 0664.47014Edmunds, D. E.; Evans, W. D. 64 1989 Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034Edmunds, D. E; Triebel, H. 56 1989 Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001Lang, Jan; Edmunds, David 49 2011 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 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031Edmunds, David E.; Triebel, Hans 34 1999 On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036Edmunds, David E.; Gurka, Petr; Opic, Bohumír 33 1997 Remarks on generalized trigonometric functions. Zbl 1246.33001Bushell, P. J.; Edmunds, D. E. 32 2012 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 Spectral theory for isotropic fractal drums. Zbl 0920.47044Edmunds, David; Triebel, Hans 27 1998 Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031Edmunds, D. E.; Evans, W. D. 26 1979 Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001Edmunds, David E.; Evans, W. Desmond 26 2014 On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 25 2005 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 24 2011 Non-compact positive operators. Zbl 0232.47035Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A. 23 1972 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. 16 2006 Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020Edmunds, David E.; Gurka, Petr; Opic, Bohumír 16 1998 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012Edmunds, David; Triebel, Hans 16 1999 Interpolation theory and measures of non-compactness. Zbl 0492.46062Teixeira, M. F.; Edmunds, D. E. 16 1981 On weighted Poincaré inequalities. Zbl 0858.26009Cianchi, Andrea; Edmunds, David E.; Gurka, Petr 15 1996 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021Edmunds, David E.; Opic, Bohumír 15 2014 Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026Edmunds, D. E.; Haroske, D. 15 1999 Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006Edmunds, David; Evans, Des 13 2018 Approximation numbers of certain Volterra integral operators. Zbl 0658.47049Edmunds, D. E.; Evans, W. D.; Harris, D. J. 13 1988 A Harnack inequality for weak solutions of degenerate quasilinear elliptic equations. Zbl 0234.35030Edmunds, D. E.; Peletier, L. A. 13 1972 Quasilinear elliptic problems in unbounded domains. Zbl 0263.35034Edmunds, D. E.; Webb, J. R. L. 13 1973 The Rellich inequality. Zbl 1350.26026Edmunds, D. E.; Evans, W. D. 12 2016 Differential operators on spaces of variable integrability. Zbl 1336.46003Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 12 2014 Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033Edmunds, D. E.; Meshki, A. 12 2002 Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016Edmunds, D. E.; Lang, J. 11 2004 Entropy numbers and interpolation. Zbl 1236.46017Edmunds, D. E.; Netrusov, Yu. 11 2011 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 Sobolev inequalities of exponential type. Zbl 0991.46019Edmunds, D. E.; Hurri-Syrjänen, R. 10 2001 Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012Edmunds, David E.; Opic, Bohumír 10 2002 On the singular numbers of certain Volterra integral operators. Zbl 0840.45013Edmunds, D. E.; Stepanov, V. D. 10 1995 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022Edmunds, David E.; Haroske, Dorothee D. 10 2000 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 10 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. 9 2009 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 Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028Edmunds, D. E.; Triebel, H. 9 1995 Gelfand numbers and widths. Zbl 1266.47034Edmunds, David E.; Lang, Jan 9 2013 Real interpolation and compact linear operators. Zbl 0704.46049Cobos, Fernando; Edmunds, David E.; Potter, Anthony J. B. 9 1990 Remarks on non-linear functional equations. Zbl 0152.34701Edmunds, D. E. 9 1967 Weighted Hardy inequalities. Zbl 1074.26004Edmunds, D. E.; Hurri-Syrjänen, R. 9 2005 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 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 Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 7 2019 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 The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013Edmunds, D. E.; Stepanov, V. D. 7 1994 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001Edmunds, David E.; Triebel, Hans 7 2008 Basis properties of generalized trigonometric functions. Zbl 1311.46008Edmunds, David E.; Gurka, Petr; Lang, Jan 7 2014 A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064Edmunds, D. E.; Popivanov, N. I. 7 1998 Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027Edmunds, David E.; Netrusov, Yuri 7 2013 On the existence of solutions of the equations of magnetohydrodynamics. Zbl 0104.43101Dyer, R. H.; Edmunds, D. E. 7 1962 Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš 6 2020 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 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 6 2002 Logarithmic spaces and related trace problems. Zbl 0924.46029Edmunds, David; Triebel, Hans 6 1998 Asymptotically sharp multiplicative inequalities. Zbl 0840.46018Edmunds, D. E.; Ilyin, A. A. 6 1995 Weighted Poincaré inequalities and Minkowski content. Zbl 0846.26011Edmunds, D. E.; Hurri-Syrjänen, R. 6 1995 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 6 2000 On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028Edmunds, D. E.; Hudzik, H.; Krbec, M. 6 2011 Removable singularities of solutions of quasi-linear parabolic equations. Zbl 0195.39303Edmunds, D. E.; Peletier, L. A. 6 1970 Elliptic differential operators and spectral analysis. Zbl 1436.35003Edmunds, David E.; Evans, W. Desmond 5 2018 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 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 On decomposition in exponential Orlicz spaces. Zbl 0971.46019Edmunds, David E.; Krbec, Miroslav 5 2000 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 Removable singularities of solutions of the Navier-Stokes equations. Zbl 0206.10803Dyer, R. H.; Edmunds, D. E. 5 1970 Orlicz and Sobolev spaces on unbounded domains. Zbl 0298.35028Edmunds, D. E.; Evans, W. D. 4 1975 Strongly nonlinear elliptic operators in unbounded domains. Zbl 0399.47053Edmunds, D. E.; Moscatelli, V. B.; Webb, J. R. L. 4 1974 Poincaré and Friedrichs inequalities in abstract Sobolev spaces. Zbl 0799.46040Edmunds, D. E.; Opic, B.; Pick, L. 4 1993 Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028Edmunds, David E.; Gurka, Petr; Lang, Jan 4 2016 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 Entropy of \(C(X)\)-valued operators and diverse applications. Zbl 1031.41013Carl, Bernd; Edmunds, David E. 4 2001 Measure of noncompactness of Sobolev embeddings on strip-like domains. Zbl 1483.46029Edmunds, David E.; Lang, Jan; Mihula, Zdeněk 2 2021 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 6 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 7 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 13 2018 Elliptic differential operators and spectral analysis. Zbl 1436.35003Edmunds, David E.; Evans, W. Desmond 5 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 3 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 26 2014 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021Edmunds, David E.; Opic, Bohumír 15 2014 Differential operators on spaces of variable integrability. Zbl 1336.46003Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 12 2014 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 10 2014 Basis properties of generalized trigonometric functions. Zbl 1311.46008Edmunds, David E.; Gurka, Petr; Lang, Jan 7 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 From real to complex analysis. Zbl 1296.00021Dyer, R. H.; Edmunds, D. E. 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 7 2013 Representations of linear operators between Banach spaces. Zbl 1283.47002Edmunds, David E.; Evans, William Desmond 1 2013 Explicit representation of compact linear operators in Banach spaces via polar sets. Zbl 1277.47027Edmunds, David E.; Lang, Jan 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 46 2012 Remarks on generalized trigonometric functions. Zbl 1246.33001Bushell, P. J.; Edmunds, D. E. 32 2012 Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001Lang, Jan; Edmunds, David 49 2011 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 24 2011 Entropy numbers and interpolation. Zbl 1236.46017Edmunds, D. E.; Netrusov, Yu. 11 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. 16 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 25 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 Variations on Yano’s extrapolation theorem. Zbl 1084.46022Edmunds, David E.; Krbec, Miroslav 3 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 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 84 2002 Bounded and compact integral operators. Zbl 1023.42001Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 77 2002 Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033Edmunds, D. E.; Meshki, A. 12 2002 Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012Edmunds, David E.; Opic, Bohumír 10 2002 Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020Edmunds, David E.; Nekvinda, Aleš 8 2002 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 6 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 253 2000 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019Edmunds, D. E.; Kerman, R.; Pick, L. 100 2000 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022Edmunds, David E.; Haroske, Dorothee D. 10 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. 3 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. 85 1999 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031Edmunds, David E.; Triebel, Hans 34 1999 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012Edmunds, David; Triebel, Hans 16 1999 Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026Edmunds, D. E.; Haroske, D. 15 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 3 1999 Spectral theory for isotropic fractal drums. Zbl 0920.47044Edmunds, David; Triebel, Hans 27 1998 Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020Edmunds, David E.; Gurka, Petr; Opic, Bohumír 16 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 ...and 86 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,991 Authors 69 Edmunds, David Eric 42 Meskhi, Alexander 41 Cobos, Fernando 33 Kokilashvili, Vakhtang Mikhailovich 32 Cianchi, Andrea 31 Lang, Jan 28 Haroske, Dorothee D. 26 Pick, Luboš 25 Shimomura, Tetsu 24 Rădulescu, Vicenţiu D. 24 Skrzypczak, Leszek 24 Triebel, Hans 21 Gesztesy, Fritz 21 Mihăilescu, Mihai 21 Opic, Bohumír 20 Kühn, Thomas 20 Sickel, Winfried 19 Gogatishvili, Amiran 19 Mizuta, Yoshihiro 18 Tang, Xianhua 16 Fu, Yongqiang 16 Samko, Stefan Grigor’evich 15 Fernández-Cabrera, Luz M. 15 Ohno, Takao 15 Vasil’eva, Anastasiya Andreevna 14 Evans, William Desmond 14 Ge, Bin 14 Gurka, Petr 14 Ho, Kwok-Pun 14 Kefi, Khaled 14 Tretter, Christiane 14 Vybíral, Jan 13 Dominguez, Oscar 13 Hurri-Syrjānen, Ritva 13 Krejčiřík, David 13 Siegl, Petr 12 Mitrea, Marius 12 Domingues de Moura, Susana 11 Caetano, António M. 11 Černý, Robert 11 Fan, Xianling 11 Fiorenza, Alberto 11 Martínez Martínez, Antón 11 Takeuchi, Shingo 11 Ushakova, Elena Pavlovna 10 Fernández-Martínez, Pedro 10 Hästö, Peter A. 10 Mamedov, Farman Imran 10 Mastyło, Mieczysław 10 Neves, Júlio Severino 10 Sun, Jiong 10 Yang, Dachun 9 Ahmed, Irshaad 9 Aouaoui, Sami 9 Ibrahim, Sobhy El-Sayed 9 Leopold, Hans-Gerd 9 Maz’ya, Vladimir Gilelevich 9 Sawano, Yoshihiro 9 Ullrich, Tino 9 Yuan, Wen 8 Chiappinelli, Raffaele 8 Harjulehto, Petteri 8 Nekvinda, Aleš 8 Pucci, Patrizia 8 Schneider, Cornelia 8 Signes, Teresa M. 8 Steinwart, Ingo 8 Stuart, Charles Alexander 8 Sun, Huaqing 8 Tsouli, Najib 8 Vähäkangas, Antti V. 8 Zhou, Qingmei 7 Bandaliev, Rovshan Alifaga ogly 7 Besoy, Blanca F. 7 Bhayo, Barkat Ali 7 Fleckinger, Jacqueline 7 Galdi, Giovanni Paolo 7 Guliyev, Vagif Sabir 7 Guo, Yuxia 7 Hinrichs, Aicke 7 Karadzhov, Georgi Eremiev 7 Méndez, Osvaldo 7 Mihula, Zdeněk 7 Musil, Vít 7 Nguyen Tuan Duy 7 Petryshyn, Walter Wolodymyr 7 Popivanov, Nedyu Iv. 7 Pustylnik, Evgeniy 7 Repovš, Dušan D. 7 Ricker, Werner Joseph 7 Ruf, Bernhard 7 Slavíková, Lenka 7 Tuominen, Heli 6 Allaoui, Mostafa 6 Almeida, Alexandre 6 Anoop, Thazhe Veetil 6 Antontsev, Stanislav Nikolaevich 6 Curbera, Guillermo P. 6 Diening, Lars 6 Kopaliani, Tengiz ...and 1,891 more Authors all top 5 Cited in 343 Serials 171 Journal of Mathematical Analysis and Applications 97 Journal of Functional Analysis 82 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 73 Journal of Approximation Theory 71 Journal of Differential Equations 43 Mathematische Nachrichten 33 Zeitschrift für Analysis und ihre Anwendungen 28 Proceedings of the American Mathematical Society 28 Revista Matemática Complutense 26 Annali di Matematica Pura ed Applicata. Serie Quarta 26 Journal of Complexity 25 Boundary Value Problems 24 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Acta Mathematica Sinica. English Series 20 Archive for Rational Mechanics and Analysis 20 Advances in Mathematics 20 Complex Variables and Elliptic Equations 18 The Journal of Fourier Analysis and Applications 18 Positivity 18 Journal of Inequalities and Applications 17 Mathematische Zeitschrift 17 Transactions of the American Mathematical Society 17 Communications on Pure and Applied Analysis 16 Potential Analysis 16 Mediterranean Journal of Mathematics 15 Journal of Mathematical Physics 15 Czechoslovak Mathematical Journal 15 Integral Equations and Operator Theory 15 Journal of Mathematical Sciences (New York) 14 Journal of Computational and Applied Mathematics 14 Calculus of Variations and Partial Differential Equations 14 Abstract and Applied Analysis 14 Proceedings of the Steklov Institute of Mathematics 14 Journal of Function Spaces 14 Nonlinear Analysis. Theory, Methods & Applications 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Mathematische Annalen 12 Journal d’Analyse Mathématique 12 Rocky Mountain Journal of Mathematics 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 The Journal of Geometric Analysis 10 Applicable Analysis 10 Mathematical Methods in the Applied Sciences 10 Studia Mathematica 10 Siberian Mathematical Journal 10 Applied Mathematics Letters 10 Russian Journal of Mathematical Physics 9 Applied Mathematics and Computation 9 Results in Mathematics 9 Georgian Mathematical Journal 9 Discrete and Continuous Dynamical Systems 9 Mathematical Inequalities & Applications 9 Journal of Function Spaces and Applications 8 Analysis Mathematica 8 Computers & Mathematics with Applications 8 Mathematical Notes 8 Manuscripta Mathematica 8 Acta Applicandae Mathematicae 8 Revista Matemática Iberoamericana 8 NoDEA. Nonlinear Differential Equations and Applications 8 Integral Transforms and Special Functions 8 Fractional Calculus & Applied Analysis 8 Nonlinear Analysis. Real World Applications 8 Advanced Nonlinear Studies 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 8 Transactions of A. Razmadze Mathematical Institute 7 Arkiv för Matematik 7 Illinois Journal of Mathematics 7 Journal of Multivariate Analysis 7 Constructive Approximation 7 Forum Mathematicum 7 Linear Algebra and its Applications 7 SIAM Journal on Mathematical Analysis 7 Analysis and Applications (Singapore) 7 Complex Analysis and Operator Theory 7 Banach Journal of Mathematical Analysis 6 Communications in Mathematical Physics 6 Israel Journal of Mathematics 6 Journal of Econometrics 6 Monatshefte für Mathematik 6 Communications in Partial Differential Equations 6 Bulletin des Sciences Mathématiques 6 Annales Academiae Scientiarum Fennicae. Mathematica 6 Annals of Functional Analysis 6 Journal of Elliptic and Parabolic Equations 5 Bulletin of the Australian Mathematical Society 5 Glasgow Mathematical Journal 5 Journal of Soviet Mathematics 5 Mathematika 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 ...and 243 more Serials all top 5 Cited in 50 Fields 838 Partial differential equations (35-XX) 799 Functional analysis (46-XX) 566 Operator theory (47-XX) 269 Harmonic analysis on Euclidean spaces (42-XX) 214 Real functions (26-XX) 133 Ordinary differential equations (34-XX) 109 Global analysis, analysis on manifolds (58-XX) 108 Approximations and expansions (41-XX) 86 Fluid mechanics (76-XX) 60 Probability theory and stochastic processes (60-XX) 59 Quantum theory (81-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 55 Potential theory (31-XX) 52 Numerical analysis (65-XX) 44 Special functions (33-XX) 44 Dynamical systems and ergodic theory (37-XX) 42 Statistics (62-XX) 32 Integral equations (45-XX) 24 Measure and integration (28-XX) 24 Functions of a complex variable (30-XX) 23 Differential geometry (53-XX) 22 Computer science (68-XX) 19 Difference and functional equations (39-XX) 19 Biology and other natural sciences (92-XX) 18 Mechanics of deformable solids (74-XX) 17 Abstract harmonic analysis (43-XX) 15 Optics, electromagnetic theory (78-XX) 15 Statistical mechanics, structure of matter (82-XX) 12 Information and communication theory, circuits (94-XX) 11 Integral transforms, operational calculus (44-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Topological groups, Lie groups (22-XX) 6 Convex and discrete geometry (52-XX) 6 Mechanics of particles and systems (70-XX) 6 Relativity and gravitational theory (83-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Systems theory; control (93-XX) 4 Number theory (11-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-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. Updates and corrections should be made in Wikidata.