Edit Profile (opens in new tab) Edmunds, David Eric Co-Author Distance 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: 247 Publications since 1956, including 14 Books 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 72 Co-Authors with 227 Joint Publications 1,257 Co-Co-Authors all top 5 Co-Authors 20 single-authored 30 Evans, William Desmond 27 Lang, Jan 20 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 Makharadze, Dali 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 Transactions of A. Razmadze Mathematical Institute 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 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) 42 Real functions (26-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 18 Approximations and expansions (41-XX) 8 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 6 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 188 Publications have been cited 3,173 times in 2,181 Documents Cited by ▼ Year ▼ Spectral theory and differential operators. Zbl 0628.47017Edmunds, D. E.; Evans, W. D. 419 1987 Sobolev embeddings with variable exponent. Zbl 0974.46040Edmunds, David E.; Rákosník, Jiří 271 2000 Function spaces, entropy numbers, differential operators. Zbl 0865.46020Edmunds, David E.; Triebel, Hans 221 1996 Entropy numbers and approximation numbers in function spaces. II. Zbl 0778.46022Edmunds, D. E.; Triebel, H. 145 1992 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019Edmunds, D. E.; Kerman, R.; Pick, L. 104 2000 Critical exponents, critical dimensions and the biharmonic operator. Zbl 0724.35044Edmunds, D. E.; Fortunato, D.; Jannelli, E. 98 1990 Hardy operators, function spaces and embeddings. Zbl 1099.46002Edmunds, David E.; Evans, W. Desmond 94 2004 Sobolev embeddings with variable exponent. II. Zbl 1030.46033Edmunds, David E.; Rákosník, Jiří 90 2002 On \(L^{p(x)}\) norms. Zbl 0953.46018Edmunds, D. E.; Lang, J.; Nekvinda, A. 87 1999 Bounded and compact integral operators. Zbl 1023.42001Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 85 2002 Density of smooth functions in \(W^{k,p(x)}({\Omega{}})\). Zbl 0779.46027Edmunds, David E.; Rákosník, Jiří 76 1992 Spectral theory and differential operators. Paperback ed. Zbl 0664.47014Edmunds, D. E.; Evans, W. D. 71 1989 Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034Edmunds, D. E; Triebel, H. 57 1989 Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001Lang, Jan; Edmunds, David 55 2011 Properties of generalized trigonometric functions. Zbl 1241.42019Edmunds, David E.; Gurka, Petr; Lang, Jan 47 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 34 1997 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031Edmunds, David E.; Triebel, Hans 34 1999 Remarks on generalized trigonometric functions. Zbl 1246.33001Bushell, P. J.; Edmunds, D. E. 32 2012 Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036Edmunds, David E.; Gurka, Petr; Pick, Luboš 30 1994 Spectral theory for isotropic fractal drums. Zbl 0920.47044Edmunds, David; Triebel, Hans 30 1998 Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024Edmunds, David E.; Gurka, Petr; Opic, Bohumír 29 1995 Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024Edmunds, David E.; Gurka, Petr; Opic, Bohumír 27 1996 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 Non-compact positive operators. Zbl 0232.47035Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A. 26 1972 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. 23 2011 Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006Edmunds, David; Evans, Des 21 2018 Two limiting cases of Sobolev imbeddings. Zbl 0835.46027Edmunds, D. E.; Krbec, M. 21 1995 Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043Edmunds, D. E.; Evans, W. D.; Harris, D. J. 18 1997 Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035Edmunds, D. E.; Lang, J. 17 2006 Interpolation theory and measures of non-compactness. Zbl 0492.46062Teixeira, M. F.; Edmunds, D. E. 17 1981 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012Edmunds, David; Triebel, Hans 17 1999 Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027Edmunds, D. E.; Evans, W. D. 16 1974 On weighted Poincaré inequalities. Zbl 0858.26009Cianchi, Andrea; Edmunds, David E.; Gurka, Petr 16 1996 Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026Edmunds, D. E.; Haroske, D. 16 1999 Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020Edmunds, David E.; Gurka, Petr; Opic, Bohumír 16 1998 Differential operators on spaces of variable integrability. Zbl 1336.46003Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 15 2014 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021Edmunds, David E.; Opic, Bohumír 15 2014 Approximation numbers of certain Volterra integral operators. Zbl 0658.47049Edmunds, D. E.; Evans, W. D.; Harris, D. J. 14 1988 The Rellich inequality. Zbl 1350.26026Edmunds, D. E.; Evans, W. D. 13 2016 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 Weighted Poincaré and Friedrichs inequalities. Zbl 0797.46027Edmunds, D. E.; Opic, B. 12 1993 Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033Edmunds, D. E.; Meshki, A. 12 2002 Sobolev inequalities of exponential type. Zbl 0991.46019Edmunds, D. E.; Hurri-Syrjänen, R. 11 2001 Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012Edmunds, David E.; Opic, Bohumír 11 2002 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 11 2014 On the singular numbers of certain Volterra integral operators. Zbl 0840.45013Edmunds, D. E.; Stepanov, V. D. 11 1995 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022Edmunds, David E.; Haroske, Dorothee D. 11 2000 Entropy numbers and interpolation. Zbl 1236.46017Edmunds, D. E.; Netrusov, Yu. 11 2011 Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016Edmunds, D. E.; Lang, J. 11 2004 On the uniqueness of viscous flows. Zbl 0126.42302Edmunds, D. 11 1963 Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\). Zbl 1016.47035Edmunds, D. E.; Kerman, R.; Lang, J. 10 2001 Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028Edmunds, D. E.; Triebel, H. 10 1995 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 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 9 2002 Real interpolation and compact linear operators. Zbl 0704.46049Cobos, Fernando; Edmunds, David E.; Potter, Anthony J. B. 9 1990 Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 9 2005 Gelfand numbers and widths. Zbl 1266.47034Edmunds, David E.; Lang, Jan 9 2013 Remarks on non-linear functional equations. Zbl 0152.34701Edmunds, D. E. 9 1967 Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 9 2019 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001Edmunds, David E.; Triebel, Hans 8 2008 Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024Edmunds, D. E.; Netrusov, Yu. 8 1998 The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013Edmunds, D. E.; Stepanov, V. D. 8 1994 Lower bounds for solutions of the Navier-Stokes equations. Zbl 0157.57005Dyer, R. H.; Edmunds, D. E. 8 1968 Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš 8 2020 A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064Edmunds, D. E.; Popivanov, N. I. 7 1998 Basis properties of generalized trigonometric functions. Zbl 1311.46008Edmunds, David E.; Gurka, Petr; Lang, Jan 7 2014 Remarks on non-linear spectral theory. Zbl 0539.47042Edmunds, D. E.; Webb, J. R. L. 7 1983 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 7 2000 On the existence of solutions of the equations of magnetohydrodynamics. Zbl 0104.43101Dyer, R. H.; Edmunds, D. E. 7 1962 Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027Edmunds, David E.; Netrusov, Yuri 7 2013 Fourier approximation and embeddings of Sobolev spaces. Zbl 0359.42011Edmunds, D. E.; Moscatelli, V. B. 7 1977 Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047Edmunds, D. E.; Evans, W. D.; Harris, D. J. 6 2008 Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander 6 2009 On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028Edmunds, D. E.; Hudzik, H.; Krbec, M. 6 2011 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 On a measure of non-compactness for some classical operators. Zbl 1282.42012Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041Edmunds, D. E.; Lang, J. 6 2007 Elliptic differential operators and spectral analysis. Zbl 1436.35003Edmunds, David E.; Evans, W. Desmond 6 2018 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 6 2002 Removable singularities of solutions of quasi-linear parabolic equations. Zbl 0195.39303Edmunds, D. E.; Peletier, L. A. 6 1970 Strongly nonlinear elliptic operators in unbounded domains. Zbl 0399.47053Edmunds, D. E.; Moscatelli, V. B.; Webb, J. R. L. 5 1974 A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2004 Two-weighted inequalities for singular integrals. Zbl 0839.47022Edmunds, David E.; Kokilashvili, Vakhtang M. 5 1995 On decomposition in exponential Orlicz spaces. Zbl 0971.46019Edmunds, David E.; Krbec, Miroslav 5 2000 Logarithmic spaces and related trace problems. Zbl 0924.46029Edmunds, David; Triebel, Hans 5 1998 Asymptotic behavior of solutions of the Navier-Stokes equations. Zbl 0147.45202Edmunds, D. E. 5 1966 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 Asymptotic behaviour of solutions of the stationary Navier-Stokes equations. Zbl 0162.41104Dyer, R. H.; Edmunds, D. E. 5 1969 Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015Edmunds, D. E.; Netrusov, Yu. 5 2014 Fourth-order nonlinear elliptic equations with critical growth. Zbl 0749.35012Edmunds, David E.; Fortunato, Donato; Jannelli, Enrico 4 1989 Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028Edmunds, David E.; Gurka, Petr; Lang, Jan 4 2016 Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 4 2006 Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E. 4 2006 Fractional Sobolev spaces and inequalities. Zbl 1505.46003Edmunds, D. E.; Evans, W. D. 1 2023 Embeddings in grand variable exponent function spaces. Zbl 1480.46050Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 3 2021 Measure of noncompactness of Sobolev embeddings on strip-like domains. Zbl 1483.46029Edmunds, David E.; Lang, Jan; Mihula, Zdeněk 2 2021 Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš 8 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 9 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 21 2018 Elliptic differential operators and spectral analysis. Zbl 1436.35003Edmunds, David E.; Evans, W. Desmond 6 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 Characterisation of zero trace functions in higher-order spaces of Sobolev type. Zbl 1402.46024Edmunds, D. E.; Nekvinda, A. 1 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 3 2017 The Rellich inequality. Zbl 1350.26026Edmunds, D. E.; Evans, W. D. 13 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 Differential operators on spaces of variable integrability. Zbl 1336.46003Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 15 2014 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021Edmunds, David E.; Opic, Bohumír 15 2014 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 11 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. 5 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 The structure of compact linear operators in Banach spaces. Zbl 1334.47026Edmunds, D. E.; Evans, W. D.; Harris, D. J. 1 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 Properties of generalized trigonometric functions. Zbl 1241.42019Edmunds, David E.; Gurka, Petr; Lang, Jan 47 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 55 2011 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 23 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 Coincidence of strict \(s\)-numbers of weighted Hardy operators. Zbl 1219.47033Edmunds, David; Lang, Jan 1 2011 The improved Hardy inequality. Zbl 1235.46037Edmunds, David E.; Hurri-Syrjänen, Ritva 1 2011 A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019Edmunds, D. E.; Evans, W. D.; Harris, D. J. 4 2010 The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060Edmunds, D. E.; Lang, J. 4 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 8 2008 Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047Edmunds, D. E.; Evans, W. D.; Harris, D. J. 6 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. 2 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. 6 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. 2 2007 Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035Edmunds, D. E.; Lang, J. 17 2006 On a measure of non-compactness for some classical operators. Zbl 1282.42012Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017Edmunds, David E.; Gurka, Petr; Opic, Bohumír 4 2006 Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E. 4 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 9 2005 Variations on Yano’s extrapolation theorem. Zbl 1084.46022Edmunds, David E.; Krbec, Miroslav 3 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 Formulae for the distance in some quasi-Banach spaces. Zbl 1154.46304Edmunds, David E.; Karadzhov, Georgi E. 2 2005 Hardy operators, function spaces and embeddings. Zbl 1099.46002Edmunds, David E.; Evans, W. Desmond 94 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 90 2002 Bounded and compact integral operators. Zbl 1023.42001Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 85 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 11 2002 Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020Edmunds, David E.; Nekvinda, Aleš 9 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. 11 2001 Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\). Zbl 1016.47035Edmunds, D. E.; Kerman, R.; Lang, J. 10 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 271 2000 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019Edmunds, D. E.; Kerman, R.; Pick, L. 104 2000 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022Edmunds, David E.; Haroske, Dorothee D. 11 2000 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021Edmunds, David E.; Gurka, Petr; Opic, Bohumír 7 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. 87 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 17 1999 Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026Edmunds, D. E.; Haroske, D. 16 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 30 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 ...and 88 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,124 Authors 74 Edmunds, David Eric 47 Meskhi, Alexander 41 Cobos, Fernando 36 Kokilashvili, Vakhtang Mikhailovich 34 Cianchi, Andrea 32 Lang, Jan 30 Haroske, Dorothee D. 29 Pick, Luboš 26 Shimomura, Tetsu 25 Skrzypczak, Leszek 24 Gesztesy, Fritz 24 Rădulescu, Vicenţiu D. 24 Triebel, Hans 22 Opic, Bohumír 21 Gogatishvili, Amiran 21 Mihăilescu, Mihai 20 Kühn, Thomas 20 Mizuta, Yoshihiro 20 Sickel, Winfried 18 Tang, Xianhua 17 Kefi, Khaled 17 Samko, Stefan Grigor’evich 16 Evans, William Desmond 16 Fu, Yongqiang 15 Fernández-Cabrera, Luz M. 15 Ge, Bin 15 Ho, Kwok-Pun 15 Krejčiřík, David 15 Ohno, Takao 15 Tretter, Christiane 15 Vasil’eva, Anastasiya Andreevna 14 Gurka, Petr 14 Mastyło, Mieczysław 14 Vybíral, Jan 13 Dominguez, Oscar 13 Hurri-Syrjānen, Ritva 13 Mitrea, Marius 13 Siegl, Petr 12 Domingues de Moura, Susana 12 Ushakova, Elena Pavlovna 11 Caetano, António M. 11 Černý, Robert 11 Fan, Xianling 11 Fiorenza, Alberto 11 Martínez Martínez, Antón 11 Takeuchi, Shingo 10 Fernández-Martínez, Pedro 10 Hästö, Peter A. 10 Mamedov, Farman Imran 10 Nekvinda, Aleš 10 Neves, Júlio Severino 10 Sun, Jiong 10 Yang, Dachun 9 Ahmed, Irshaad 9 Aouaoui, Sami 9 Bandaliev, Rovshan Alifaga ogly 9 Ibrahim, Sobhy El-Sayed 9 Leopold, Hans-Gerd 9 Maz’ya, Vladimir Gilelevich 9 Sawano, Yoshihiro 9 Ullrich, Tino 9 Yuan, Wen 8 Besoy, Blanca F. 8 Chiappinelli, Raffaele 8 Guliyev, Vagif Sabir 8 Guo, Yuxia 8 Harjulehto, Petteri 8 Méndez, Osvaldo 8 Nguyen Tuan Duy 8 Pucci, Patrizia 8 Repovš, Dušan D. 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 Bhayo, Barkat Ali 7 Fleckinger, Jacqueline 7 Galdi, Giovanni Paolo 7 Hinrichs, Aicke 7 Karadzhov, Georgi Eremiev 7 Lam, Nguyen 7 Lotoreichik, Vladimir 7 Mihula, Zdeněk 7 Musil, Vít 7 Pastukhova, Svetlana Evgenievna 7 Petryshyn, Walter Wolodymyr 7 Popivanov, Nedyu Iv. 7 Pustylnik, Evgeniy 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 ...and 2,024 more Authors all top 5 Cited in 360 Serials 175 Journal of Mathematical Analysis and Applications 103 Journal of Functional Analysis 83 Nonlinear Analysis. 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