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: 248 Publications since 1956, including 14 Books 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 72 Co-Authors with 228 Joint Publications 1,318 Co-Co-Authors all top 5 Co-Authors 20 single-authored 30 Evans, William Desmond 28 Lang, Jan 20 Meskhi, Alexander 16 Kokilashvili, Vakhtang 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, Aleksei 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 19 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 132 Functional analysis (46-XX) 108 Operator theory (47-XX) 57 Partial differential equations (35-XX) 42 Real functions (26-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 17 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 7 Ordinary differential equations (34-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 194 Publications have been cited 3,382 times in 2,333 Documents Cited by ▼ Year ▼ Spectral theory and differential operators. Zbl 0628.47017 Edmunds, D. E.; Evans, W. D. 446 1987 Sobolev embeddings with variable exponent. Zbl 0974.46040 Edmunds, David E.; Rákosník, Jiří 302 2000 Function spaces, entropy numbers, differential operators. Zbl 0865.46020 Edmunds, David E.; Triebel, Hans 237 1996 Entropy numbers and approximation numbers in function spaces. II. Zbl 0778.46022 Edmunds, D. E.; Triebel, H. 145 1992 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019 Edmunds, D. E.; Kerman, R.; Pick, L. 110 2000 Hardy operators, function spaces and embeddings. Zbl 1099.46002 Edmunds, David E.; Evans, W. Desmond 106 2004 Critical exponents, critical dimensions and the biharmonic operator. Zbl 0724.35044 Edmunds, D. E.; Fortunato, D.; Jannelli, E. 105 1990 Sobolev embeddings with variable exponent. II. Zbl 1030.46033 Edmunds, David E.; Rákosník, Jiří 96 2002 Bounded and compact integral operators. Zbl 1023.42001 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 94 2002 On \(L^{p(x)}\) norms. Zbl 0953.46018 Edmunds, D. E.; Lang, J.; Nekvinda, A. 89 1999 Density of smooth functions in \(W^{k,p(x)}({\Omega{}})\). Zbl 0779.46027 Edmunds, David E.; Rákosník, Jiří 80 1992 Spectral theory and differential operators. Paperback ed. Zbl 0664.47014 Edmunds, D. E.; Evans, W. D. 71 1989 Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001 Lang, Jan; Edmunds, David 63 2011 Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034 Edmunds, D. E; Triebel, H. 57 1989 Properties of generalized trigonometric functions. Zbl 1241.42019 Edmunds, David E.; Gurka, Petr; Lang, Jan 52 2012 Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 43 1995 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031 Edmunds, David E.; Triebel, Hans 35 1999 On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 35 1997 Remarks on generalized trigonometric functions. Zbl 1246.33001 Bushell, P. J.; Edmunds, D. E. 32 2012 Spectral theory for isotropic fractal drums. Zbl 0920.47044 Edmunds, David; Triebel, Hans 31 1998 Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 31 1995 Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036 Edmunds, David E.; Gurka, Petr; Pick, Luboš 30 1994 Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 29 1996 Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006 Edmunds, David; Evans, Des 28 2018 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022 Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 26 2011 Non-compact positive operators. Zbl 0232.47035 Edmunds, 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 1099.47030 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 26 2005 Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031 Edmunds, D. E.; Evans, W. D. 26 1979 Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001 Edmunds, David E.; Evans, W. Desmond 26 2014 Two limiting cases of Sobolev imbeddings. Zbl 0835.46027 Edmunds, D. E.; Krbec, M. 23 1995 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012 Edmunds, David; Triebel, Hans 18 1999 On weighted Poincaré inequalities. Zbl 0858.26009 Cianchi, Andrea; Edmunds, David E.; Gurka, Petr 18 1996 Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043 Edmunds, D. E.; Evans, W. D.; Harris, D. J. 18 1997 Differential operators on spaces of variable integrability. Zbl 1336.46003 Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 18 2014 Interpolation theory and measures of non-compactness. Zbl 0492.46062 Teixeira, M. F.; Edmunds, D. E. 17 1981 Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026 Edmunds, D. E.; Haroske, D. 17 1999 Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035 Edmunds, D. E.; Lang, J. 17 2006 Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 16 1998 Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027 Edmunds, D. E.; Evans, W. D. 16 1974 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021 Edmunds, David E.; Opic, Bohumír 16 2014 Approximation numbers of certain Volterra integral operators. Zbl 0658.47049 Edmunds, D. E.; Evans, W. D.; Harris, D. J. 14 1988 Sobolev inequalities of exponential type. Zbl 0991.46019 Edmunds, D. E.; Hurri-Syrjänen, R. 13 2001 Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012 Edmunds, David E.; Opic, Bohumír 13 2002 A Harnack inequality for weak solutions of degenerate quasilinear elliptic equations. Zbl 0234.35030 Edmunds, D. E.; Peletier, L. A. 13 1972 Quasilinear elliptic problems in unbounded domains. Zbl 0263.35034 Edmunds, D. E.; Webb, J. R. L. 13 1973 Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033 Edmunds, D. E.; Meshki, A. 13 2002 The Rellich inequality. Zbl 1350.26026 Edmunds, D. E.; Evans, W. D. 13 2016 Entropy numbers and interpolation. Zbl 1236.46017 Edmunds, D. E.; Netrusov, Yu. 12 2011 Weighted Poincaré and Friedrichs inequalities. Zbl 0797.46027 Edmunds, D. E.; Opic, B. 12 1993 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053 Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 12 2014 Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020 Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš 12 2020 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022 Edmunds, David E.; Haroske, Dorothee D. 11 2000 On the singular numbers of certain Volterra integral operators. Zbl 0840.45013 Edmunds, D. E.; Stepanov, V. D. 11 1995 Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016 Edmunds, D. E.; Lang, J. 11 2004 On the uniqueness of viscous flows. Zbl 0126.42302 Edmunds, D. 11 1963 Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 11 2019 Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028 Edmunds, D. E.; Triebel, H. 10 1995 Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\). Zbl 1016.47035 Edmunds, D. E.; Kerman, R.; Lang, J. 10 2001 Real interpolation and compact linear operators. Zbl 0704.46049 Cobos, Fernando; Edmunds, David E.; Potter, Anthony J. B. 10 1990 Weighted Hardy inequalities. Zbl 1074.26004 Edmunds, D. E.; Hurri-Syrjänen, R. 9 2005 Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024 Edmunds, D. E.; Netrusov, Yu. 9 1998 Some \(s\)-numbers of an integral operator of Hardy type on \(L^{p(\cdot)}\) spaces. Zbl 1175.47017 Edmunds, D. E.; Lang, J.; Nekvinda, A. 9 2009 Remarks on non-linear functional equations. Zbl 0152.34701 Edmunds, D. E. 9 1967 Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 9 2005 Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020 Edmunds, David E.; Nekvinda, Aleš 9 2002 Gelfand numbers and widths. Zbl 1266.47034 Edmunds, David E.; Lang, Jan 9 2013 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001 Edmunds, David E.; Triebel, Hans 8 2008 Lower bounds for solutions of the Navier-Stokes equations. Zbl 0157.57005 Dyer, R. H.; Edmunds, D. E. 8 1968 The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013 Edmunds, D. E.; Stepanov, V. D. 8 1994 Remarks on non-linear spectral theory. Zbl 0539.47042 Edmunds, D. E.; Webb, J. R. L. 7 1983 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 7 2000 A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064 Edmunds, D. E.; Popivanov, N. I. 7 1998 Two-weighted inequalities for singular integrals. Zbl 0839.47022 Edmunds, David E.; Kokilashvili, Vakhtang M. 7 1995 Fourier approximation and embeddings of Sobolev spaces. Zbl 0359.42011 Edmunds, D. E.; Moscatelli, V. B. 7 1977 On the existence of solutions of the equations of magnetohydrodynamics. Zbl 0104.43101 Dyer, R. H.; Edmunds, D. E. 7 1962 Basis properties of generalized trigonometric functions. Zbl 1311.46008 Edmunds, David E.; Gurka, Petr; Lang, Jan 7 2014 Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047 Edmunds, D. E.; Evans, W. D.; Harris, D. J. 7 2008 Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027 Edmunds, David E.; Netrusov, Yuri 7 2013 On a measure of non-compactness for some classical operators. Zbl 1282.42012 Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 Asymptotically sharp multiplicative inequalities. Zbl 0840.46018 Edmunds, D. E.; Ilyin, A. A. 6 1995 Weighted Poincaré inequalities and Minkowski content. Zbl 0846.26011 Edmunds, D. E.; Hurri-Syrjänen, R. 6 1995 On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028 Edmunds, D. E.; Hudzik, H.; Krbec, M. 6 2011 Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001 Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander 6 2009 Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041 Edmunds, D. E.; Lang, J. 6 2007 Removable singularities of solutions of quasi-linear parabolic equations. Zbl 0195.39303 Edmunds, D. E.; Peletier, L. A. 6 1970 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 6 2002 Elliptic differential operators and spectral analysis. Zbl 1436.35003 Edmunds, David E.; Evans, W. Desmond 6 2018 On decomposition in exponential Orlicz spaces. Zbl 0971.46019 Edmunds, David E.; Krbec, Miroslav 5 2000 The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060 Edmunds, D. E.; Lang, J. 5 2010 Removable singularities of solutions of the Navier-Stokes equations. Zbl 0206.10803 Dyer, R. H.; Edmunds, D. E. 5 1970 Logarithmic spaces and related trace problems. Zbl 0924.46029 Edmunds, David; Triebel, Hans 5 1998 A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2004 Asymptotic behavior of solutions of the Navier-Stokes equations. Zbl 0147.45202 Edmunds, D. E. 5 1966 Asymptotic behaviour of solutions of the stationary Navier-Stokes equations. Zbl 0162.41104 Dyer, R. H.; Edmunds, D. E. 5 1969 A Leray-Schauder theorem for a class of nonlinear operators. Zbl 0167.44602 Edmunds, D. E.; Webb, J. S. W. 5 1969 Strongly nonlinear elliptic operators in unbounded domains. Zbl 0399.47053 Edmunds, D. E.; Moscatelli, V. B.; Webb, J. R. L. 5 1974 Optimal function spaces for the Laplace transform. Zbl 1400.46022 Buriánková, Eva; Edmunds, David E.; Pick, Luboš 5 2017 A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019 Edmunds, D. E.; Evans, W. D.; Harris, D. J. 5 2010 Fractional Sobolev spaces and inequalities. Zbl 1505.46003 Edmunds, D. E.; Evans, W. D. 5 2023 Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015 Edmunds, D. E.; Netrusov, Yu. 5 2014 Fractional Sobolev spaces and inequalities. Zbl 1505.46003 Edmunds, D. E.; Evans, W. D. 5 2023 Almost compact and compact embeddings of variable exponent spaces. Zbl 1509.46017 Edmunds, D. E.; Gogatishvili, A.; Nekvinda, A. 1 2023 Remarks on \(j\)-eigenfunctions of operators. Zbl 07747145 Edmunds, David E.; Lang, Jan 1 2023 Embeddings in grand variable exponent function spaces. Zbl 1480.46050 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 4 2021 Measure of noncompactness of Sobolev embeddings on strip-like domains. Zbl 1483.46029 Edmunds, David E.; Lang, Jan; Mihula, Zdeněk 2 2021 Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020 Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš 12 2020 Nuclear embeddings of Besov spaces into Zygmund spaces. Zbl 1445.46035 Cobos, Fernando; Edmunds, David E.; Kühn, Thomas 3 2020 Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 11 2019 Two-weighted Hardy operators in \(L^{p(\cdot)}\) spaces and applications. Zbl 1521.47080 Edmunds, David E.; Meskhi, Alexander 2 2019 Behaviour of \(L_{q}\) norms of the \(\operatorname {sinc}_{p}\) function. Zbl 1404.33021 Edmunds, David E.; Melkonian, Houry 2 2019 Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006 Edmunds, David; Evans, Des 28 2018 Elliptic differential operators and spectral analysis. Zbl 1436.35003 Edmunds, David E.; Evans, W. Desmond 6 2018 Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\). Zbl 1425.46017 Edmunds, David; Gogatishvili, Amiran; Kopaliani, Tengiz 3 2018 On the Rellich inequality in \(L^{p(\cdot)}(a,b)\). Zbl 1391.26041 Edmunds, David; Meskhi, Alexander 2 2018 Characterisation of zero trace functions in higher-order spaces of Sobolev type. Zbl 1402.46024 Edmunds, D. E.; Nekvinda, A. 1 2018 Basis and regularity properties of (\(p\),\(q\))-trigonometric functions and the decay of (\(p\),\(q\))-Fourier coefficients. Zbl 1402.42004 Edmunds, David E.; Melkonian, Houry 1 2018 Optimal function spaces for the Laplace transform. Zbl 1400.46022 Buriánková, Eva; Edmunds, David E.; Pick, Luboš 5 2017 Characterisation of zero trace functions in variable exponent Sobolev spaces. Zbl 1410.46020 Edmunds, D. E.; Nekvinda, Aleš 3 2017 The Rellich inequality. Zbl 1350.26026 Edmunds, D. E.; Evans, W. D. 13 2016 Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028 Edmunds, David E.; Gurka, Petr; Lang, Jan 4 2016 Asymptotic formulae for \(s\)-numbers of a Sobolev embedding and a Volterra type operator. Zbl 1338.47014 Edmunds, David E.; Lang, Jan 2 2016 Series representation of compact linear operators in Banach spaces. Zbl 1416.46027 Edmunds, David E.; Lang, Jan 1 2016 Generalizing trigonometric functions from different points of view. Zbl 1353.33002 Edmunds, David E.; Lang, Jan 1 2015 Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001 Edmunds, David E.; Evans, W. Desmond 26 2014 Differential operators on spaces of variable integrability. Zbl 1336.46003 Edmunds, David E.; Lang, Jan; Méndez, Osvaldo 18 2014 Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021 Edmunds, David E.; Opic, Bohumír 16 2014 Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053 Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V. 12 2014 Basis properties of generalized trigonometric functions. Zbl 1311.46008 Edmunds, David E.; Gurka, Petr; Lang, Jan 7 2014 Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015 Edmunds, D. E.; Netrusov, Yu. 5 2014 Non-nuclearity of a Sobolev embedding on an interval. Zbl 1301.46012 Edmunds, David E.; Lang, Jan 3 2014 From real to complex analysis. Zbl 1296.00021 Dyer, R. H.; Edmunds, D. E. 1 2014 Gelfand numbers and widths. Zbl 1266.47034 Edmunds, David E.; Lang, Jan 9 2013 Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027 Edmunds, David E.; Netrusov, Yuri 7 2013 The structure of compact linear operators in Banach spaces. Zbl 1334.47026 Edmunds, D. E.; Evans, W. D.; Harris, D. J. 3 2013 Representations of linear operators between Banach spaces. Zbl 1283.47002 Edmunds, David E.; Evans, William Desmond 3 2013 Explicit representation of compact linear operators in Banach spaces via polar sets. Zbl 1277.47027 Edmunds, David E.; Lang, Jan 2 2013 Properties of generalized trigonometric functions. Zbl 1241.42019 Edmunds, David E.; Gurka, Petr; Lang, Jan 52 2012 Remarks on generalized trigonometric functions. Zbl 1246.33001 Bushell, P. J.; Edmunds, D. E. 32 2012 Coincidence and calculation of some strict \(s\)-numbers. Zbl 1257.47021 Edmunds, David E.; Lang, Jan 1 2012 Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001 Lang, Jan; Edmunds, David 63 2011 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022 Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 26 2011 Entropy numbers and interpolation. Zbl 1236.46017 Edmunds, D. E.; Netrusov, Yu. 12 2011 On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028 Edmunds, D. E.; Hudzik, H.; Krbec, M. 6 2011 The improved Hardy inequality. Zbl 1235.46037 Edmunds, David E.; Hurri-Syrjänen, Ritva 1 2011 Coincidence of strict \(s\)-numbers of weighted Hardy operators. Zbl 1219.47033 Edmunds, David; Lang, Jan 1 2011 The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060 Edmunds, D. E.; Lang, J. 5 2010 A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019 Edmunds, D. E.; Evans, W. D.; Harris, D. J. 5 2010 Entropy numbers of limiting embeddings of logarithmic Sobolev spaces into exponential spaces. Zbl 1195.46031 Edmunds, David E.; Gurka, Petr 2 2010 Embeddings, Hardy operators and nonlinear problems. Zbl 1208.46031 Edmunds, D. E. 1 2010 Some \(s\)-numbers of an integral operator of Hardy type on \(L^{p(\cdot)}\) spaces. Zbl 1175.47017 Edmunds, D. E.; Lang, J.; Nekvinda, A. 9 2009 Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001 Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander 6 2009 Generalized trigonometric functions from different points of view. Zbl 1265.33001 Edmunds, David; Lang, Jan 1 2009 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001 Edmunds, David E.; Triebel, Hans 8 2008 Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047 Edmunds, D. E.; Evans, W. D.; Harris, D. J. 7 2008 Alternative characterizations of Lorentz–Karamata spaces. Zbl 1174.46019 Edmunds, D. E.; Opic, B. 3 2008 Asymptotics for eigenvalues of a non-linear integral system. Zbl 1164.45004 Edmunds, D. E.; Lang, J. 2 2008 One-sided operators in \(L^{p (x)}\) spaces. Zbl 1214.42027 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 1 2008 Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041 Edmunds, D. E.; Lang, J. 6 2007 Sharp estimates of the embedding constants for Besov spaces \(b^s_{p,q}\), \(0<p<1\). Zbl 1137.46019 Edmunds, David E.; Evans, W. Desmond; Karadzhov, Gyorgi E. 3 2007 Operators of Hardy type. Zbl 1127.47032 Edmunds, D. E.; Lang, J. 2 2007 Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035 Edmunds, D. E.; Lang, J. 17 2006 On a measure of non-compactness for some classical operators. Zbl 1282.42012 Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 4 2006 Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018 Edmunds, 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 1176.42016 Edmunds, 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 1110.46022 Edmunds, D. E.; Evans, W. D. 1 2006 On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 26 2005 Weighted Hardy inequalities. Zbl 1074.26004 Edmunds, D. E.; Hurri-Syrjänen, R. 9 2005 Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 9 2005 The inner variation of an operator and the essential norms of pointwise multipliers in function spaces. Zbl 1083.47012 Edmunds, D. E.; Shargorodsky, E. 4 2005 Variations on Yano’s extrapolation theorem. Zbl 1084.46022 Edmunds, David E.; Krbec, Miroslav 3 2005 Formulae for the distance in some quasi-Banach spaces. Zbl 1154.46304 Edmunds, David E.; Karadzhov, Georgi E. 2 2005 Hardy operators, function spaces and embeddings. Zbl 1099.46002 Edmunds, David E.; Evans, W. Desmond 106 2004 Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016 Edmunds, D. E.; Lang, J. 11 2004 A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2004 Rellich’s theorem in irregular domains. Zbl 1063.46023 Edmunds, David E.; Hurri-Syrjänen, Ritva 4 2004 Gelfand numbers and metric entropy of convex hulls in Hilbert spaces. Zbl 1054.41018 Carl, Bernd; Edmunds, David E. 4 2003 On a measure of non-compactness for maximal operators. Zbl 1029.42009 Edmunds, D. E.; Meskhi, A. 3 2003 Equivalent quasi-norms on Lorentz spaces. Zbl 1023.46025 Edmunds, David E.; Opic, Bohumír 3 2003 Sobolev embeddings with variable exponent. II. Zbl 1030.46033 Edmunds, David E.; Rákosník, Jiří 96 2002 Bounded and compact integral operators. Zbl 1023.42001 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 94 2002 Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012 Edmunds, David E.; Opic, Bohumír 13 2002 Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033 Edmunds, D. E.; Meshki, A. 13 2002 Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020 Edmunds, David E.; Nekvinda, Aleš 9 2002 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 6 2002 Sobolev inequalities of exponential type. Zbl 0991.46019 Edmunds, D. E.; Hurri-Syrjänen, R. 13 2001 Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\). Zbl 1016.47035 Edmunds, D. E.; Kerman, R.; Lang, J. 10 2001 Entropy of \(C(X)\)-valued operators and diverse applications. Zbl 1031.41013 Carl, Bernd; Edmunds, David E. 4 2001 Weight inequalities for singular integrals defined on spaces of homogeneous and nonhomogeneous type. Zbl 1002.42009 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 1 2001 Sobolev embeddings with variable exponent. Zbl 0974.46040 Edmunds, David E.; Rákosník, Jiří 302 2000 Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019 Edmunds, D. E.; Kerman, R.; Pick, L. 110 2000 Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022 Edmunds, David E.; Haroske, Dorothee D. 11 2000 Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021 Edmunds, David E.; Gurka, Petr; Opic, Bohumír 7 2000 On decomposition in exponential Orlicz spaces. Zbl 0971.46019 Edmunds, David E.; Krbec, Miroslav 5 2000 Two-weight estimates for singular integrals defined on spaces of homogeneous type. Zbl 0959.47018 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 3 2000 Coverings of convex sets and volume inequalities. Zbl 0951.52005 Carl, B.; Edmunds, D. 1 2000 On \(L^{p(x)}\) norms. Zbl 0953.46018 Edmunds, D. E.; Lang, J.; Nekvinda, A. 89 1999 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031 Edmunds, David E.; Triebel, Hans 35 1999 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012 Edmunds, David; Triebel, Hans 18 1999 Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026 Edmunds, D. E.; Haroske, D. 17 1999 ...and 94 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,269 Authors 75 Edmunds, David Eric 48 Meskhi, Alexander 42 Cobos, Fernando 38 Kokilashvili, Vakhtang 36 Lang, Jan 35 Cianchi, Andrea 32 Haroske, Dorothee D. 31 Pick, Luboš 30 Shimomura, Tetsu 27 Triebel, Hans 26 Skrzypczak, Leszek 24 Gesztesy, Fritz 24 Mizuta, Yoshihiro 24 Rădulescu, Vicenţiu D. 23 Opic, Bohumír 22 Gogatishvili, Amiran 21 Mihăilescu, Mihai 20 Kühn, Thomas 20 Samko, Stefan Grigor’evich 20 Sickel, Winfried 19 Kefi, Khaled 18 Ho, Kwok-Pun 18 Tang, Xianhua 17 Krejčiřík, David 17 Ohno, Takao 16 Evans, William Desmond 16 Fu, Yongqiang 16 Ge, Bin 15 Fernández-Cabrera, Luz M. 15 Gurka, Petr 15 Tretter, Christiane 15 Vasil’eva, Anastasiya Andreevna 14 Hurri-Syrjānen, Ritva 14 Mastyło, Mieczysław 14 Vybíral, Jan 13 Dominguez, Oscar 13 Mitrea, Marius 13 Siegl, Petr 12 Fiorenza, Alberto 12 Domingues de Moura, Susana 12 Takeuchi, Shingo 12 Ushakova, Elena Pavlovna 11 Caetano, António M. 11 Černý, Robert 11 Fan, Xianling 11 Fernández-Martínez, Pedro 11 Martínez Martínez, Antón 11 Yang, Dachun 10 Ahmed, Irshaad 10 Aouaoui, Sami 10 Bandaliev, Rovshan Alifaga ogly 10 Guliyev, Vagif Sabir 10 Hästö, Peter A. 10 Mamedov, Farman Imran 10 Méndez, Osvaldo 10 Nekvinda, Aleš 10 Neves, Júlio Severino 10 Sun, Jiong 10 Tsouli, Najib 10 Yuan, Wen 9 Guo, Yuxia 9 Harjulehto, Petteri 9 Ibrahim, Sobhy El-Sayed 9 Leopold, Hans-Gerd 9 Maz’ya, Vladimir Gilelevich 9 Sawano, Yoshihiro 9 Signes, Teresa M. 9 Stuart, Charles Alexander 9 Sun, Huaqing 9 Ullrich, Tino 9 Vähäkangas, Antti V. 9 Zhou, Qingmei 8 Besoy, Blanca F. 8 Chiappinelli, Raffaele 8 Lam, Nguyen 8 Mihula, Zdeněk 8 Musil, Vít 8 Nguyen Tuan Duy 8 Pucci, Patrizia 8 Repovš, Dušan D. 8 Schneider, Cornelia 8 Slavíková, Lenka 8 Steinwart, Ingo 7 Alberico, Angela 7 Bhayo, Barkat Ali 7 Chems Eddine, Nabil 7 Fleckinger, Jacqueline 7 Galdi, Giovanni Paolo 7 Hinrichs, Aicke 7 Karadzhov, Georgi Eremiev 7 Lotoreichik, Vladimir 7 Pastukhova, Svetlana Evgenievna 7 Petryshyn, Walter Wolodymyr 7 Popivanov, Nedyu Iv. 7 Pustylnik, Evgeniy 7 Rafeiro, Humberto 7 Ricker, Werner Joseph 7 Ruf, Bernhard 7 Ruzhansky, Michael V. 7 Tuominen, Heli ...and 2,169 more Authors all top 5 Cited in 384 Serials 182 Journal of Mathematical Analysis and Applications 106 Journal of Functional Analysis 84 Nonlinear Analysis. 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Theory, Methods & Applications 14 Journal of Computational and Applied Mathematics 14 Mathematische Annalen 14 Results in Mathematics 14 The Journal of Geometric Analysis 14 Proceedings of the Steklov Institute of Mathematics 14 Journal of Function Spaces 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Journal d’Analyse Mathématique 12 Rocky Mountain Journal of Mathematics 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Transactions of A. Razmadze Mathematical Institute 11 Studia Mathematica 11 Discrete and Continuous Dynamical Systems 11 Fractional Calculus & Applied Analysis 10 Siberian Mathematical Journal 10 Applied Mathematics Letters 10 Russian Journal of Mathematical Physics 10 Georgian Mathematical Journal 10 Mathematical Inequalities & Applications 9 Mathematical Notes 9 Applied Mathematics and Computation 9 NoDEA. Nonlinear Differential Equations and Applications 9 Nonlinear Analysis. 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