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Edmunds, David Eric

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Author ID: edmunds.david-eric Recent zbMATH articles by "Edmunds, David Eric"
Published as: Edmunds, D. E.; Edmunds, David E.; Edmunds, David; Edmunds, David Eric; Edmunds, D.; Edmunds, D. E
Homepage: https://davidedmundsmathematics.wordpress.com/about/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 241 Publications since 1956, including 13 Books
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 71 Co-Authors with 221 Joint Publications
1,231 Co-Co-Authors
all top 5

Co-Authors

20 single-authored
28 Evans, William Desmond
25 Lang, Jan
19 Meskhi, Alexander
16 Kokilashvili, Vakhtang Mikhailovich
15 Opic, Bohumír
14 Gurka, Petr
13 Triebel, Hans
10 Dyer, Robert H.
9 Hurri-Syrjānen, Ritva
9 Rákosník, Jiří
8 Harris, Desmond John
7 Moscatelli, Vincenzo Bruno
6 Edmunds, R. M.
6 Nekvinda, Aleš
6 Peletier, Lambertus Adrianus
6 Sun, Jiong
6 Webb, Jeffrey Ronald Leslie
5 Karadzhov, Georgi Eremiev
5 Krbec, Miroslav
5 Pick, Luboš
4 Kufner, Alois
4 Netrusov, Yuri
3 Carl, Bernd
3 Cobos, Fernando
3 Ilyin, Alexei A.
3 Stepanov, Vladimir Dmitrievich
2 Brown, Richard Clark
2 Bushell, Peter John
2 Cao, Zhijiang
2 Chiappinelli, Raffaele
2 Cianchi, Andrea
2 Fleckinger, Jacqueline
2 Fortunato, Donato
2 Gogatishvili, Amiran
2 Haroske, Dorothee D.
2 Jannelli, Enrico
2 Kauffman, Robert M.
2 Kerman, Ron
2 Kopaliani, Tengiz
2 Melkonian, Houry
2 Mihula, Zdeněk
2 Popivanov, Nedyu Iv.
2 Potter, Anthony J. B.
2 Stuart, Charles Alexander
2 Tylli, Hans-Olav
1 Ahmed, Irshaad
1 Buriánková, Eva
1 Butzer, Paul Leo
1 de Groen, Pieter P. N.
1 Downs, A. S.
1 Dyer, R. H.
1 Fiorenza, Alberto
1 Hinton, Don Barker
1 Hudzik, Henryk
1 Jain, Pankaj
1 Jain, Pawan Kumar
1 Kühn, Thomas
1 Lewis, Roger T.
1 Méndez, Osvaldo
1 Meshki, A.
1 Musil, Vít
1 Mustonen, Vesa
1 Nessel, Rolf Joachim
1 Persson, Lars-Erik
1 Saitoh, Saburou
1 Samashvili, Nino
1 Serrin, James
1 Shargorodsky, Eugene
1 Sun, Jion
1 Szőkefalvi-Nagy, Béla
1 Teixeira, M. F.
1 Vähäkangas, Antti V.
1 Wang, Aiping
1 Webb, J. S. W.
1 Williams, Valerie
all top 5

Serials

18 Mathematische Nachrichten
10 Journal of the London Mathematical Society. Second Series
9 Studia Mathematica
9 Revista Matemática Complutense
8 Journal of Mathematical Analysis and Applications
8 Journal of Approximation Theory
8 Journal of Functional Analysis
7 Archive for Rational Mechanics and Analysis
7 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
6 Bulletin of the London Mathematical Society
6 Zeitschrift für Analysis und ihre Anwendungen
5 Houston Journal of Mathematics
5 Mathematische Annalen
5 Proceedings of the American Mathematical Society
5 Proceedings of the London Mathematical Society. Third Series
5 Journal of the London Mathematical Society
4 The Quarterly Journal of Mathematics. Oxford Second Series
4 Proceedings of A. Razmadze Mathematical Institute
4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Quarterly Journal of Mechanics and Applied Mathematics
3 Dissertationes Mathematicae
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Georgian Mathematical Journal
3 Journal of Inequalities and Applications
3 Springer Monographs in Mathematics
2 Israel Journal of Mathematics
2 Arkiv för Matematik
2 Canadian Journal of Mathematics
2 Czechoslovak Mathematical Journal
2 Journal of Computational and Applied Mathematics
2 Mathematische Zeitschrift
2 Mathematica Bohemica
2 The Journal of Fourier Analysis and Applications
2 Mathematical Inequalities & Applications
2 Acta Mathematica Sinica. English Series
2 Journal of Analysis and Applications
2 Bollettino della Unione Matematica Italiana. Series IV
2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
2 Cambridge Tracts in Mathematics
2 Oxford Mathematical Monographs
1 Journal d’Analyse Mathématique
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Acta Mathematica Sinica
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 Results in Mathematics
1 Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matemàtica. Serie V
1 Discrete & Computational Geometry
1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
1 Pokroky Matematiky, Fyziky & Astronomie
1 SIAM Journal on Mathematical Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bollettino della Unione Matemàtica Italiana. Serie VI. B
1 Russian Academy of Sciences. Doklady. Mathematics
1 Electronic Journal of Differential Equations (EJDE)
1 Communications in Applied Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 The Quarterly Journal of Mathematics
1 Journal of Function Spaces and Applications
1 Bollettino della Unione Matematica Italiana. Series V. A
1 Lecture Notes in Mathematics
1 Mathematics and its Applications (Dordrecht)
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Commentationes Mathematicae
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Operator Theory: Advances and Applications
1 Transactions of A. Razmadze Mathematical Institute
1 Springer Undergraduate Mathematics Series
1 London Mathematical Society. Newsletter

Publications by Year

Citations contained in zbMATH Open

184 Publications have been cited 2,855 times in 1,970 Documents Cited by Year
Spectral theory and differential operators. Zbl 0628.47017
Edmunds, D. E.; Evans, W. D.
391
1987
Sobolev embeddings with variable exponent. Zbl 0974.46040
Edmunds, David E.; Rákosník, Jiří
232
2000
Function spaces, entropy numbers, differential operators. Zbl 0865.46020
Edmunds, David E.; Triebel, Hans
197
1996
Entropy numbers and approximation numbers in function spaces. II. Zbl 0778.46022
Edmunds, D. E.; Triebel, H.
140
1992
Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019
Edmunds, D. E.; Kerman, R.; Pick, L.
97
2000
Critical exponents, critical dimensions and the biharmonic operator. Zbl 0724.35044
Edmunds, D. E.; Fortunato, D.; Jannelli, E.
85
1990
On \(L^{p(x)}\) norms. Zbl 0953.46018
Edmunds, D. E.; Lang, J.; Nekvinda, A.
83
1999
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
80
2004
Sobolev embeddings with variable exponent. II. Zbl 1030.46033
Edmunds, David E.; Rákosník, Jiří
75
2002
Bounded and compact integral operators. Zbl 1023.42001
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
73
2002
Density of smooth functions in \(W^{k,p(x)}({\Omega{}})\). Zbl 0779.46027
Edmunds, David E.; Rákosník, Jiří
72
1992
Spectral theory and differential operators. Paperback ed. Zbl 0664.47014
Edmunds, D. E.; Evans, W. D.
59
1989
Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034
Edmunds, D. E; Triebel, H.
54
1989
Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001
Lang, Jan; Edmunds, David
46
2011
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
43
2012
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
41
1995
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
33
1997
Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031
Edmunds, David E.; Triebel, Hans
31
1999
Remarks on generalized trigonometric functions. Zbl 1246.33001
Bushell, P. J.; Edmunds, D. E.
30
2012
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
27
1995
Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036
Edmunds, David E.; Gurka, Petr; Pick, Luboš
26
1994
Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031
Edmunds, D. E.; Evans, W. D.
26
1979
Spectral theory for isotropic fractal drums. Zbl 0920.47044
Edmunds, David; Triebel, Hans
24
1998
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
24
2014
On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
24
2005
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
23
1996
Non-compact positive operators. Zbl 0232.47035
Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A.
22
1972
Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022
Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E.
21
2011
Two limiting cases of Sobolev imbeddings. Zbl 0835.46027
Edmunds, D. E.; Krbec, M.
20
1995
Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
17
1997
Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027
Edmunds, D. E.; Evans, W. D.
16
1974
Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035
Edmunds, D. E.; Lang, J.
15
2006
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
15
1998
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
15
1996
Interpolation theory and measures of non-compactness. Zbl 0492.46062
Teixeira, M. F.; Edmunds, D. E.
15
1981
Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012
Edmunds, David; Triebel, Hans
14
1999
Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026
Edmunds, D. E.; Haroske, D.
14
1999
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
14
2014
A Harnack inequality for weak solutions of degenerate quasilinear elliptic equations. Zbl 0234.35030
Edmunds, D. E.; Peletier, L. A.
13
1972
Approximation numbers of certain Volterra integral operators. Zbl 0658.47049
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
13
1988
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
12
2016
Quasilinear elliptic problems in unbounded domains. Zbl 0263.35034
Edmunds, D. E.; Webb, J. R. L.
12
1973
Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033
Edmunds, D. E.; Meshki, A.
11
2002
Weighted Poincaré and Friedrichs inequalities. Zbl 0797.46027
Edmunds, D. E.; Opic, B.
11
1993
Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016
Edmunds, D. E.; Lang, J.
11
2004
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
11
2018
On the uniqueness of viscous flows. Zbl 0126.42302
Edmunds, D.
11
1963
Sobolev inequalities of exponential type. Zbl 0991.46019
Edmunds, D. E.; Hurri-Syrjänen, R.
10
2001
On the singular numbers of certain Volterra integral operators. Zbl 0840.45013
Edmunds, D. E.; Stepanov, V. D.
10
1995
Differential operators on spaces of variable integrability. Zbl 1336.46003
Edmunds, David E.; Lang, Jan; Méndez, Osvaldo
10
2014
Entropy numbers and interpolation. Zbl 1236.46017
Edmunds, D. E.; Netrusov, Yu.
10
2011
Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\). Zbl 1016.47035
Edmunds, D. E.; Kerman, R.; Lang, J.
9
2001
Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022
Edmunds, David E.; Haroske, Dorothee D.
9
2000
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
Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053
Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V.
9
2014
Weighted Hardy inequalities. Zbl 1074.26004
Edmunds, D. E.; Hurri-Syrjänen, R.
9
2005
Gelfand numbers and widths. Zbl 1266.47034
Edmunds, David E.; Lang, Jan
9
2013
Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020
Edmunds, David E.; Nekvinda, Aleš
8
2002
Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024
Edmunds, D. E.; Netrusov, Yu.
8
1998
Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028
Edmunds, D. E.; Triebel, H.
8
1995
Real interpolation and compact linear operators. Zbl 0704.46049
Cobos, Fernando; Edmunds, David E.; Potter, Anthony J. B.
8
1990
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
8
2002
Remarks on non-linear functional equations. Zbl 0152.34701
Edmunds, D. E.
8
1967
Lower bounds for solutions of the Navier-Stokes equations. Zbl 0157.57005
Dyer, R. H.; Edmunds, D. E.
8
1968
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
8
2005
A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064
Edmunds, D. E.; Popivanov, N. I.
7
1998
Fourier approximation and embeddings of Sobolev spaces. Zbl 0359.42011
Edmunds, D. E.; Moscatelli, V. B.
7
1977
Remarks on non-linear spectral theory. Zbl 0539.47042
Edmunds, D. E.; Webb, J. R. L.
7
1983
Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001
Edmunds, David E.; Triebel, Hans
7
2008
On the existence of solutions of the equations of magnetohydrodynamics. Zbl 0104.43101
Dyer, R. H.; Edmunds, D. E.
7
1962
Logarithmic spaces and related trace problems. Zbl 0924.46029
Edmunds, David; Triebel, Hans
6
1998
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
6
2000
The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013
Edmunds, D. E.; Stepanov, V. D.
6
1994
Weighted Poincaré inequalities and Minkowski content. Zbl 0846.26011
Edmunds, D. E.; Hurri-Syrjänen, R.
6
1995
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
6
2014
Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001
Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander
6
2009
On a measure of non-compactness for some classical operators. Zbl 1282.42012
Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander
6
2006
Removable singularities of solutions of quasi-linear parabolic equations. Zbl 0195.39303
Edmunds, D. E.; Peletier, L. A.
6
1970
On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028
Edmunds, D. E.; Hudzik, H.; Krbec, M.
6
2011
Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027
Edmunds, David E.; Netrusov, Yuri
6
2013
On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
5
2002
On decomposition in exponential Orlicz spaces. Zbl 0971.46019
Edmunds, David E.; Krbec, Miroslav
5
2000
Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041
Edmunds, D. E.; Lang, J.
5
2007
Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020
Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš
5
2020
Asymptotically sharp multiplicative inequalities. Zbl 0840.46018
Edmunds, D. E.; Ilyin, A. A.
5
1995
Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
5
2019
Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
5
2008
Removable singularities of solutions of the Navier-Stokes equations. Zbl 0206.10803
Dyer, R. H.; Edmunds, D. E.
5
1970
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
Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028
Edmunds, David E.; Gurka, Petr; Lang, Jan
4
2016
Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E.
4
2006
On some multiplicative inequalities and approximation numbers. Zbl 0818.46027
Edmunds, D. E.; Ilyin, A. A.
4
1994
Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers. Zbl 0804.35097
Edmunds, D. E.; Triebel, H.
4
1994
Two-weighted inequalities for singular integrals. Zbl 0839.47022
Edmunds, David E.; Kokilashvili, Vakhtang M.
4
1995
Strongly nonlinear elliptic operators in unbounded domains. Zbl 0399.47053
Edmunds, D. E.; Moscatelli, V. B.; Webb, J. R. L.
4
1974
On self-adjointness of the product of two second-order differential operators. Zbl 0934.34017
Cao, Zhijiang; Sun, Jiong; Edmunds, D. E.
4
1999
Poincaré and Friedrichs inequalities in abstract Sobolev spaces. Zbl 0799.46040
Edmunds, D. E.; Opic, B.; Pick, L.
4
1993
Embeddings in grand variable exponent function spaces. Zbl 1480.46050
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
1
2021
Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020
Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš
5
2020
Nuclear embeddings of Besov spaces into Zygmund spaces. Zbl 1445.46035
Cobos, Fernando; Edmunds, David E.; Kühn, Thomas
2
2020
Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
5
2019
Behaviour of \(L_{q}\) norms of the \(\operatorname {sinc}_{p}\) function. Zbl 1404.33021
Edmunds, David E.; Melkonian, Houry
2
2019
Two-weighted Hardy operators in \(L^{p(\cdot)}\) spaces and applications. Zbl 07118347
Edmunds, David E.; Meskhi, Alexander
2
2019
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
11
2018
Elliptic differential operators and spectral analysis. Zbl 1436.35003
Edmunds, David E.; Evans, W. Desmond
3
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
Optimal function spaces for the Laplace transform. Zbl 1400.46022
Buriánková, Eva; Edmunds, David E.; Pick, Luboš
2
2017
Characterisation of zero trace functions in variable exponent Sobolev spaces. Zbl 1410.46020
Edmunds, D. E.; Nekvinda, Aleš
2
2017
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
12
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
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
24
2014
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
14
2014
Differential operators on spaces of variable integrability. Zbl 1336.46003
Edmunds, David E.; Lang, Jan; Méndez, Osvaldo
10
2014
Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053
Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V.
9
2014
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
6
2014
Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015
Edmunds, D. E.; Netrusov, Yu.
4
2014
Non-nuclearity of a Sobolev embedding on an interval. Zbl 1301.46012
Edmunds, David E.; Lang, Jan
3
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
6
2013
Explicit representation of compact linear operators in Banach spaces via polar sets. Zbl 1277.47027
Edmunds, David E.; Lang, Jan
1
2013
Representations of linear operators between Banach spaces. Zbl 1283.47002
Edmunds, David E.; Evans, William Desmond
1
2013
The structure of compact linear operators in Banach spaces. Zbl 1334.47026
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
1
2013
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
43
2012
Remarks on generalized trigonometric functions. Zbl 1246.33001
Bushell, P. J.; Edmunds, D. E.
30
2012
Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001
Lang, Jan; Edmunds, David
46
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.
21
2011
Entropy numbers and interpolation. Zbl 1236.46017
Edmunds, D. E.; Netrusov, Yu.
10
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.
4
2010
A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
3
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
7
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.
5
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.
1
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.
5
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.
1
2007
Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035
Edmunds, D. E.; Lang, J.
15
2006
On a measure of non-compactness for some classical operators. Zbl 1282.42012
Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander
6
2006
Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018
Edmunds, 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 1104.46017
Edmunds, 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 1176.42016
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
24
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
8
2005
Formulae for the distance in some quasi-Banach spaces. Zbl 1154.46304
Edmunds, David E.; Karadzhov, Georgi E.
2
2005
The inner variation of an operator and the essential norms of pointwise multipliers in function spaces. Zbl 1083.47012
Edmunds, D. E.; Shargorodsky, E.
2
2005
Variations on Yano’s extrapolation theorem. Zbl 1084.46022
Edmunds, David E.; Krbec, Miroslav
2
2005
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
80
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
3
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
2
2003
Sobolev embeddings with variable exponent. II. Zbl 1030.46033
Edmunds, David E.; Rákosník, Jiří
75
2002
Bounded and compact integral operators. Zbl 1023.42001
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
73
2002
Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033
Edmunds, D. E.; Meshki, A.
11
2002
Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020
Edmunds, David E.; Nekvinda, Aleš
8
2002
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
8
2002
On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
5
2002
Sobolev inequalities of exponential type. Zbl 0991.46019
Edmunds, D. E.; Hurri-Syrjänen, R.
10
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.
9
2001
Entropy of \(C(X)\)-valued operators and diverse applications. Zbl 1031.41013
Carl, Bernd; Edmunds, David E.
4
2001
Sobolev embeddings with variable exponent. Zbl 0974.46040
Edmunds, David E.; Rákosník, Jiří
232
2000
Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019
Edmunds, D. E.; Kerman, R.; Pick, L.
97
2000
Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022
Edmunds, David E.; Haroske, Dorothee D.
9
2000
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
6
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.
2
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.
83
1999
Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031
Edmunds, David E.; Triebel, Hans
31
1999
Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012
Edmunds, David; Triebel, Hans
14
1999
Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026
Edmunds, D. E.; Haroske, D.
14
1999
On self-adjointness of the product of two second-order differential operators. Zbl 0934.34017
Cao, Zhijiang; Sun, Jiong; Edmunds, D. E.
4
1999
On a higher-order Hardy inequality. Zbl 0936.31010
Edmunds, David E.; Rákosník, Jiří
2
1999
Spectral theory for isotropic fractal drums. Zbl 0920.47044
Edmunds, David; Triebel, Hans
24
1998
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
15
1998
Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024
Edmunds, D. E.; Netrusov, Yu.
8
1998
A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064
Edmunds, D. E.; Popivanov, N. I.
7
1998
Logarithmic spaces and related trace problems. Zbl 0924.46029
Edmunds, David; Triebel, Hans
6
1998
On Hardy-type inequalities. Zbl 0915.46027
Edmunds, D. E.; Hurri-Syrjänen, R.
2
1998
Boundedness and compactness of Hardy-type operators in Banach function spaces. Zbl 1002.42014
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
2
1998
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
33
1997
...and 84 more Documents
all top 5

Cited by 1,885 Authors

68 Edmunds, David Eric
41 Cobos, Fernando
41 Meskhi, Alexander
33 Kokilashvili, Vakhtang Mikhailovich
32 Cianchi, Andrea
29 Lang, Jan
28 Haroske, Dorothee D.
25 Pick, Luboš
24 Rădulescu, Vicenţiu D.
24 Skrzypczak, Leszek
23 Shimomura, Tetsu
23 Triebel, Hans
21 Gesztesy, Fritz
21 Mihăilescu, Mihai
21 Opic, Bohumír
20 Kühn, Thomas
20 Sickel, Winfried
18 Gogatishvili, Amiran
18 Tang, Xianhua
17 Mizuta, Yoshihiro
15 Fernández-Cabrera, Luz M.
15 Fu, Yongqiang
15 Vasil’eva, Anastasiya Andreevna
14 Evans, William Desmond
14 Ge, Bin
14 Gurka, Petr
14 Ohno, Takao
13 Hurri-Syrjānen, Ritva
13 Kefi, Khaled
13 Samko, Stefan Grigorievich
13 Tretter, Christiane
13 Vybíral, Jan
12 Dominguez, Oscar
12 Ho, Kwok-Pun
12 Mitrea, Marius
12 Domingues de Moura, Susana
11 Caetano, António M.
11 Černý, Robert
11 Fan, Xianling
11 Krejčiřík, David
11 Martínez Martínez, Antón
11 Siegl, Petr
11 Takeuchi, Shingo
10 Hästö, Peter A.
10 Mamedov, Farman Imran
10 Neves, Júlio Severino
10 Sun, Jiong
9 Aouaoui, Sami
9 Fernández-Martínez, Pedro
9 Fiorenza, Alberto
9 Ibrahim, Sobhy El-Sayed
9 Leopold, Hans-Gerd
9 Mastyło, Mieczysław
9 Maz’ya, Vladimir Gilelevich
9 Ullrich, Tino
9 Ushakova, Elena Pavlovna
9 Yang, Dachun
8 Ahmed, Irshaad
8 Chiappinelli, Raffaele
8 Harjulehto, Petteri
8 Nekvinda, Aleš
8 Pucci, Patrizia
8 Sawano, Yoshihiro
8 Schneider, Cornelia
8 Steinwart, Ingo
8 Stuart, Charles Alexander
8 Sun, Huaqing
8 Vähäkangas, Antti V.
8 Yuan, Wen
8 Zhou, Qingmei
7 Bandaliev, Rovshan Alifaga ogly
7 Besoy, Blanca F.
7 Fleckinger, Jacqueline
7 Galdi, Giovanni Paolo
7 Guliyev, Vagif Sabir
7 Guo, Yuxia
7 Karadzhov, Georgi Eremiev
7 Méndez, Osvaldo
7 Musil, Vít
7 Petryshyn, Walter Wolodymyr
7 Popivanov, Nedyu Iv.
7 Pustylnik, Evgeniy
7 Ricker, Werner Joseph
7 Ruf, Bernhard
7 Signes, Teresa M.
7 Slavíková, Lenka
7 Tuominen, Heli
6 Almeida, Alexandre
6 Antontsev, Stanislav Nikolaevich
6 Bhayo, Barkat Ali
6 Curbera, Guillermo P.
6 Diening, Lars
6 Hinrichs, Aicke
6 Kopaliani, Tengiz
6 Krbec, Miroslav
6 Lam, Nguyen
6 Latushkin, Yuri
6 Milman, Mario Marcos
6 Nguyen Tuan Duy
6 Pastukhova, Svetlana Evgenievna
...and 1,785 more Authors
all top 5

Cited in 329 Serials

169 Journal of Mathematical Analysis and Applications
93 Journal of Functional Analysis
82 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
70 Journal of Approximation Theory
69 Journal of Differential Equations
43 Mathematische Nachrichten
32 Zeitschrift für Analysis und ihre Anwendungen
28 Proceedings of the American Mathematical Society
28 Revista Matemática Complutense
25 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Journal of Complexity
24 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
22 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 Boundary Value Problems
20 Complex Variables and Elliptic Equations
18 Journal of Inequalities and Applications
17 Mathematische Zeitschrift
17 Transactions of the American Mathematical Society
17 The Journal of Fourier Analysis and Applications
16 Potential Analysis
16 Communications on Pure and Applied Analysis
15 Journal of Mathematical Physics
15 Czechoslovak Mathematical Journal
15 Integral Equations and Operator Theory
15 Positivity
15 Mediterranean Journal of Mathematics
14 Journal of Computational and Applied Mathematics
14 Calculus of Variations and Partial Differential Equations
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 Journal of Mathematical Sciences (New York)
13 Abstract and Applied Analysis
12 Rocky Mountain Journal of Mathematics
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Journal d’Analyse Mathématique
11 Mathematische Annalen
11 The Journal of Geometric Analysis
10 Mathematical Methods in the Applied Sciences
10 Studia Mathematica
10 Russian Journal of Mathematical Physics
9 Applied Mathematics and Computation
9 Applied Mathematics Letters
9 Georgian Mathematical Journal
9 Discrete and Continuous Dynamical Systems
9 Journal of Function Spaces and Applications
8 Applicable Analysis
8 Computers & Mathematics with Applications
8 Mathematical Notes
8 Manuscripta Mathematica
8 Results in Mathematics
8 Siberian Mathematical Journal
8 Revista Matemática Iberoamericana
8 Integral Transforms and Special Functions
8 Mathematical Inequalities & Applications
8 Fractional Calculus & Applied Analysis
8 Nonlinear Analysis. Real World Applications
8 Transactions of A. Razmadze Mathematical Institute
7 Analysis Mathematica
7 Arkiv för Matematik
7 Illinois Journal of Mathematics
7 Journal of Multivariate Analysis
7 Acta Applicandae Mathematicae
7 Constructive Approximation
7 Linear Algebra and its Applications
7 NoDEA. Nonlinear Differential Equations and Applications
7 Advanced Nonlinear Studies
7 Analysis and Applications (Singapore)
7 Complex Analysis and Operator Theory
6 Israel Journal of Mathematics
6 Journal of Econometrics
6 Forum Mathematicum
6 Communications in Partial Differential Equations
6 Bulletin des Sciences Mathématiques
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Banach Journal of Mathematical Analysis
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Bulletin of the Australian Mathematical Society
5 Communications in Mathematical Physics
5 Glasgow Mathematical Journal
5 Journal of Soviet Mathematics
5 Mathematika
5 Monatshefte für Mathematik
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Acta Mathematica Hungarica
5 Doklady Mathematics
5 Taiwanese Journal of Mathematics
5 Journal of Mathematical Fluid Mechanics
5 Communications in Contemporary Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Mathematical Inequalities
5 Electronic Journal of Statistics
5 Advances in Mathematical Physics
5 Annals of Functional Analysis
4 Indian Journal of Pure & Applied Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
...and 229 more Serials
all top 5

Cited in 50 Fields

787 Partial differential equations (35-XX)
764 Functional analysis (46-XX)
536 Operator theory (47-XX)
251 Harmonic analysis on Euclidean spaces (42-XX)
199 Real functions (26-XX)
125 Ordinary differential equations (34-XX)
106 Global analysis, analysis on manifolds (58-XX)
99 Approximations and expansions (41-XX)
83 Fluid mechanics (76-XX)
57 Probability theory and stochastic processes (60-XX)
56 Calculus of variations and optimal control; optimization (49-XX)
53 Potential theory (31-XX)
51 Quantum theory (81-XX)
49 Numerical analysis (65-XX)
45 Dynamical systems and ergodic theory (37-XX)
42 Special functions (33-XX)
41 Statistics (62-XX)
31 Integral equations (45-XX)
24 Measure and integration (28-XX)
22 Computer science (68-XX)
21 Functions of a complex variable (30-XX)
20 Differential geometry (53-XX)
18 Abstract harmonic analysis (43-XX)
17 Difference and functional equations (39-XX)
17 Biology and other natural sciences (92-XX)
15 Mechanics of deformable solids (74-XX)
15 Statistical mechanics, structure of matter (82-XX)
13 Optics, electromagnetic theory (78-XX)
11 Information and communication theory, circuits (94-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Topological groups, Lie groups (22-XX)
10 Integral transforms, operational calculus (44-XX)
6 Convex and discrete geometry (52-XX)
6 Mechanics of particles and systems (70-XX)
5 Relativity and gravitational theory (83-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Number theory (11-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Operations research, mathematical programming (90-XX)
4 Systems theory; control (93-XX)
3 Combinatorics (05-XX)
3 Algebraic geometry (14-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
2 Algebraic topology (55-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

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