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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.; Edmunds, D. E; Edmunds, D. E.; Edmunds, David; Edmunds, David E.; Edmunds, David Eric
Homepage: https://davidedmundsmathematics.wordpress.com/about/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 236 Publications since 1956, including 14 Books
Biographic References: 1 Publication
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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 Functional Analysis
7 Archive for Rational Mechanics and Analysis
7 Journal of Approximation Theory
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 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 Indiana University Mathematics Journal
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 Mathematical Inequalities & Applications
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 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 Springer Undergraduate Mathematics Series

Publications by Year

Citations contained in zbMATH

182 Publications have been cited 2,704 times in 1,792 Documents Cited by Year
Spectral theory and differential operators. Zbl 0628.47017
Edmunds, D. E.; Evans, W. D.
370
1987
Function spaces, entropy numbers, differential operators. Zbl 0865.46020
Edmunds, David E.; Triebel, Hans
232
1996
Sobolev embeddings with variable exponent. Zbl 0974.46040
Edmunds, David E.; Rákosník, Jiří
196
2000
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.
91
2000
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
88
2004
On \(L^{p(x)}\) norms. Zbl 0953.46018
Edmunds, D. E.; Lang, J.; Nekvinda, A.
81
1999
Critical exponents, critical dimensions and the biharmonic operator. Zbl 0724.35044
Edmunds, D. E.; Fortunato, D.; Jannelli, E.
75
1990
Density of smooth functions in \(W^{k,p(x)}({\Omega{}})\). Zbl 0779.46027
Edmunds, David E.; Rákosník, Jiří
71
1992
Sobolev embeddings with variable exponent. II. Zbl 1030.46033
Edmunds, David E.; Rákosník, Jiří
69
2002
Bounded and compact integral operators. Zbl 1023.42001
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
69
2002
Spectral theory and differential operators. Paperback ed. Zbl 0664.47014
Edmunds, D. E.; Evans, W. D.
56
1989
Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034
Edmunds, D. E; Triebel, H.
53
1989
Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001
Lang, Jan; Edmunds, David
42
2011
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
38
1995
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
34
2012
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
34
1997
Remarks on generalized trigonometric functions. Zbl 1246.33001
Bushell, P. J.; Edmunds, D. E.
28
2012
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
27
1995
Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031
Edmunds, David E.; Triebel, Hans
26
1999
Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031
Edmunds, D. E.; Evans, W. D.
26
1979
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
Spectral theory for isotropic fractal drums. Zbl 0920.47044
Edmunds, David; Triebel, Hans
24
1998
Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036
Edmunds, David E.; Gurka, Petr; Pick, Luboš
23
1994
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
22
1996
Non-compact positive operators. Zbl 0232.47035
Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A.
21
1972
Two limiting cases of Sobolev imbeddings. Zbl 0835.46027
Edmunds, D. E.; Krbec, M.
20
1995
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
18
2014
Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022
Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E.
17
2011
Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
16
1997
Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027
Edmunds, D. E.; Evans, W. D.
16
1974
Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012
Edmunds, David; Triebel, Hans
15
1999
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
15
1998
Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035
Edmunds, D. E.; Lang, J.
14
2006
Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026
Edmunds, D. E.; Haroske, D.
14
1999
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
14
1996
Interpolation theory and measures of non-compactness. Zbl 0492.46062
Teixeira, M. F.; Edmunds, D. E.
14
1981
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
12
2014
Approximation numbers of certain Volterra integral operators. Zbl 0658.47049
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
12
1988
Quasilinear elliptic problems in unbounded domains. Zbl 0263.35034
Edmunds, D. E.; Webb, J. R. L.
12
1973
A Harnack inequality for weak solutions of degenerate quasilinear elliptic equations. Zbl 0234.35030
Edmunds, D. E.; Peletier, L. A.
12
1972
Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016
Edmunds, D. E.; Lang, J.
11
2004
Weighted Poincaré and Friedrichs inequalities. Zbl 0797.46027
Edmunds, D. E.; Opic, B.
11
1993
On the uniqueness of viscous flows. Zbl 0126.42302
Edmunds, D.
11
1963
Entropy numbers and interpolation. Zbl 1236.46017
Edmunds, D. E.; Netrusov, Yu.
10
2011
Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033
Edmunds, D. E.; Meshki, A.
10
2002
Sobolev inequalities of exponential type. Zbl 0991.46019
Edmunds, D. E.; Hurri-Syrjänen, R.
10
2001
Gelfand numbers and widths. Zbl 1266.47034
Edmunds, David E.; Lang, Jan
9
2013
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
Differential operators on spaces of variable integrability. Zbl 1336.46003
Edmunds, David E.; Lang, Jan; Méndez, Osvaldo
8
2014
Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053
Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V.
8
2014
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.
8
2009
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
8
2002
Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022
Edmunds, David E.; Haroske, Dorothee D.
8
2000
Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024
Edmunds, D. E.; Netrusov, Yu.
8
1998
On the singular numbers of certain Volterra integral operators. Zbl 0840.45013
Edmunds, D. E.; Stepanov, V. D.
8
1995
Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028
Edmunds, D. E.; Triebel, H.
8
1995
Remarks on non-linear functional equations. Zbl 0152.34701
Edmunds, D. E.
8
1967
On the existence of solutions of the equations of magnetohydrodynamics. Zbl 0104.43101
Dyer, R. H.; Edmunds, D. E.
8
1962
Weighted Hardy inequalities. Zbl 1074.26004
Edmunds, D. E.; Hurri-Syrjänen, R.
7
2005
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
7
2005
Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020
Edmunds, David E.; Nekvinda, Aleš
7
2002
A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064
Edmunds, D. E.; Popivanov, N. I.
7
1998
Real interpolation and compact linear operators. Zbl 0704.46049
Cobos, Fernando; Edmunds, David E.; Potter, Anthony J. B.
7
1990
Remarks on non-linear spectral theory. Zbl 0539.47042
Edmunds, D. E.; Webb, J. R. L.
7
1983
Fourier approximation and embeddings of Sobolev spaces. Zbl 0359.42011
Edmunds, D. E.; Moscatelli, V. B.
7
1977
Lower bounds for solutions of the Navier-Stokes equations. Zbl 0157.57005
Dyer, R. H.; Edmunds, D. E.
7
1968
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
6
2016
Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027
Edmunds, David E.; Netrusov, Yuri
6
2013
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
On a measure of non-compactness for some classical operators. Zbl 1282.42012
Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander
6
2006
Logarithmic spaces and related trace problems. Zbl 0924.46029
Edmunds, David; Triebel, Hans
6
1998
Weighted Poincaré inequalities and Minkowski content. Zbl 0846.26011
Edmunds, D. E.; Hurri-Syrjänen, R.
6
1995
The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013
Edmunds, D. E.; Stepanov, V. D.
6
1994
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
Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001
Edmunds, David E.; Triebel, Hans
5
2008
Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041
Edmunds, D. E.; Lang, J.
5
2007
A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
5
2004
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
5
2000
On decomposition in exponential Orlicz spaces. Zbl 0971.46019
Edmunds, David E.; Krbec, Miroslav
5
2000
Asymptotically sharp multiplicative inequalities. Zbl 0840.46018
Edmunds, D. E.; Ilyin, A. A.
5
1995
Strongly nonlinear elliptic operators in unbounded domains. Zbl 0399.47053
Edmunds, D. E.; Moscatelli, V. B.; Webb, J. R. L.
5
1974
Removable singularities of solutions of the Navier-Stokes equations. Zbl 0206.10803
Dyer, R. H.; Edmunds, D. E.
5
1970
Removable singularities of solutions of quasi-linear parabolic equations. Zbl 0195.39303
Edmunds, D. E.; Peletier, L. A.
5
1970
A Leray-Schauder theorem for a class of nonlinear operators. Zbl 0167.44602
Edmunds, D. E.; Webb, J. S. W.
5
1969
Asymptotic behavior of solutions of the Navier-Stokes equations. Zbl 0147.45202
Edmunds, D. E.
5
1966
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
4
2014
Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015
Edmunds, D. E.; Netrusov, Yu.
4
2014
The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060
Edmunds, D. E.; Lang, J.
4
2010
Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E.
4
2006
Gelfand numbers and metric entropy of convex hulls in Hilbert spaces. Zbl 1054.41018
Carl, Bernd; Edmunds, David E.
4
2003
On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
4
2002
Entropy of \(C(X)\)-valued operators and diverse applications. Zbl 1031.41013
Carl, Bernd; Edmunds, David E.
4
2001
On self-adjointness of the product of two second-order differential operators. Zbl 0934.34017
Cao, Zhijiang; Sun, Jiong; Edmunds, D. E.
4
1999
Two-weighted inequalities for singular integrals. Zbl 0839.47022
Edmunds, David E.; Kokilashvili, Vakhtang M.
4
1995
Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers. Zbl 0804.35097
Edmunds, D. E.; Triebel, H.
4
1994
On some multiplicative inequalities and approximation numbers. Zbl 0818.46027
Edmunds, D. E.; Ilyin, A. A.
4
1994
Poincaré and Friedrichs inequalities in abstract Sobolev spaces. Zbl 0799.46040
Edmunds, D. E.; Opic, B.; Pick, L.
4
1993
On the entropy numbers of an operator and its adjoint. Zbl 0625.47015
Edmunds, David E.; Tylli, Hans-Olav
4
1986
Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020
Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš
2
2020
Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 07140570
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
1
2019
Behaviour of \(L_{q}\) norms of the \(\operatorname {sinc}_{p}\) function. Zbl 1404.33021
Edmunds, David E.; Melkonian, Houry
1
2019
Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\). Zbl 1425.46017
Edmunds, David; Gogatishvili, Amiran; Kopaliani, Tengiz
2
2018
Elliptic differential operators and spectral analysis. Zbl 1436.35003
Edmunds, David E.; Evans, W. Desmond
2
2018
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
2
2018
On the Rellich inequality in \(L^{p(\cdot)}(a,b)\). Zbl 1391.26041
Edmunds, David; Meskhi, Alexander
1
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
1
2017
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
6
2016
Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028
Edmunds, David E.; Gurka, Petr; Lang, Jan
2
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
2
2015
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
18
2014
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
12
2014
Differential operators on spaces of variable integrability. Zbl 1336.46003
Edmunds, David E.; Lang, Jan; Méndez, Osvaldo
8
2014
Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053
Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V.
8
2014
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
4
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
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
6
2013
The structure of compact linear operators in Banach spaces. Zbl 1334.47026
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
1
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
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
34
2012
Remarks on generalized trigonometric functions. Zbl 1246.33001
Bushell, P. J.; Edmunds, D. E.
28
2012
Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001
Lang, Jan; Edmunds, David
42
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.
17
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.
8
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
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
Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001
Edmunds, David E.; Triebel, Hans
5
2008
Alternative characterizations of Lorentz–Karamata spaces. Zbl 1174.46019
Edmunds, D. E.; Opic, B.
3
2008
One-sided operators in \(L^{p (x)}\) spaces. Zbl 1214.42027
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
1
2008
Asymptotics for eigenvalues of a non-linear integral system. Zbl 1164.45004
Edmunds, D. E.; Lang, J.
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.
14
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.
7
2005
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
7
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.
1
2005
Variations on Yano’s extrapolation theorem. Zbl 1084.46022
Edmunds, David E.; Krbec, Miroslav
1
2005
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
88
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
69
2002
Bounded and compact integral operators. Zbl 1023.42001
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
69
2002
Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033
Edmunds, D. E.; Meshki, A.
10
2002
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
8
2002
Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020
Edmunds, David E.; Nekvinda, Aleš
7
2002
On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
4
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
196
2000
Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019
Edmunds, D. E.; Kerman, R.; Pick, L.
91
2000
Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022
Edmunds, David E.; Haroske, Dorothee D.
8
2000
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
5
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
Function spaces and applications. Mainly the proceedings of the international conference on function spaces and applications to partial differential equations, New Delhi, India, December 15–19, 1997. Zbl 0958.00028
Edmunds, David E. (ed.); Jain, Pawan K. (ed.); Jain, Pankaj (ed.); Kufner, Alois (ed.); Persson, Lars-Erik (ed.); Saitoh, Saburou (ed.)
1
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.
81
1999
Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031
Edmunds, David E.; Triebel, Hans
26
1999
Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012
Edmunds, David; Triebel, Hans
15
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
Boundedness and compactness of Hardy-type operators in Banach function spaces. Zbl 1002.42014
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
2
1998
On Hardy-type inequalities. Zbl 0915.46027
Edmunds, D. E.; Hurri-Syrjänen, R.
2
1998
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
34
1997
Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
16
1997
Remarks on the Hardy inequality. Zbl 0912.46035
Edmunds, D. E.; Hurri-Syrjänen, R.
3
1997
...and 82 more Documents
all top 5

Cited by 1,745 Authors

63 Edmunds, David Eric
37 Cobos, Fernando
35 Meskhi, Alexander
30 Cianchi, Andrea
30 Kokilashvili, Vakhtang Mikhailovich
26 Lang, Jan
24 Haroske, Dorothee D.
23 Rădulescu, Vicenţiu D.
23 Shimomura, Tetsu
22 Pick, Luboš
22 Triebel, Hans
21 Kühn, Thomas
21 Mihăilescu, Mihai
21 Opic, Bohumír
21 Skrzypczak, Leszek
20 Sickel, Winfried
19 Gesztesy, Fritz
18 Gogatishvili, Amiran
18 Vasil’eva, Anastasiya Andreevna
17 Mizuta, Yoshihiro
16 Tang, Xianhua
14 Fu, Yongqiang
14 Gurka, Petr
14 Ohno, Takao
13 Evans, William Desmond
13 Fernández-Cabrera, Luz M.
13 Hurri-Syrjānen, Ritva
13 Samko, Stefan Grigorievich
12 Ge, Bin
12 Mitrea, Marius
12 Domingues de Moura, Susana
12 Vybíral, Jan
11 Caetano, António M.
11 Černý, Robert
11 Dominguez, Oscar
11 Fan, Xianling
11 Ho, Kwok-Pun
11 Krejčiřík, David
11 Siegl, Petr
11 Tretter, Christiane
10 Hästö, Peter A.
10 Mamedov, Farman Imran
10 Mastyło, Mieczysław
10 Neves, Júlio Severino
10 Sun, Jiong
9 Ibrahim, Sobhy El-Sayed
9 Kefi, Khaled
9 Martínez Martínez, Antón
9 Maz’ya, Vladimir Gilelevich
9 Takeuchi, Shingo
9 Yang, Dachun
8 Aouaoui, Sami
8 Chiappinelli, Raffaele
8 Harjulehto, Petteri
8 Leopold, Hans-Gerd
8 Nekvinda, Aleš
8 Pucci, Patrizia
8 Sawano, Yoshihiro
8 Steinwart, Ingo
8 Stuart, Charles Alexander
8 Ullrich, Tino
8 Ushakova, Elena Pavlovna
8 Vähäkangas, Antti V.
8 Yuan, Wen
8 Zhou, Qingmei
7 Ahmed, Irshaad
7 Fernández-Martínez, Pedro
7 Fiorenza, Alberto
7 Fleckinger, Jacqueline
7 Galdi, Giovanni Paolo
7 Guliyev, Vagif Sabir
7 Karadzhov, Georgi Eremiev
7 Méndez, Osvaldo
7 Petryshyn, Walter Wolodymyr
7 Popivanov, Nedyu Iv.
7 Pustylnik, Evgeniy
7 Ricker, Werner Joseph
7 Rionero, Salvatore
7 Ruf, Bernhard
7 Schneider, Cornelia
7 Tuominen, Heli
6 Almeida, Alexandre
6 Antontsev, Stanislav Nikolaevich
6 Bandaliev, Rovshan Alifaga ogly
6 Bhayo, Barkat Ali
6 Curbera, Guillermo P.
6 Diening, Lars
6 Krbec, Miroslav
6 Milman, Mario Marcos
6 Musil, Vít
6 Pastukhova, Svetlana Evgenievna
6 Popov, Todor
6 Slavíková, Lenka
6 Sun, Huaqing
6 Wadade, Hidemitsu
5 Allaoui, Mostafa
5 Alziary, Bénédicte
5 Behrndt, Jussi
5 Besoy, Blanca F.
5 Bocea, Marian F.
...and 1,645 more Authors
all top 5

Cited in 301 Serials

158 Journal of Mathematical Analysis and Applications
89 Journal of Functional Analysis
82 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
66 Journal of Approximation Theory
64 Journal of Differential Equations
43 Mathematische Nachrichten
30 Zeitschrift für Analysis und ihre Anwendungen
28 Proceedings of the American Mathematical Society
25 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Revista Matemática Complutense
24 Journal of Complexity
24 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
21 Journal de Mathématiques Pures et Appliquées. Neuvième Série
20 Archive for Rational Mechanics and Analysis
20 Acta Mathematica Sinica. English Series
18 Complex Variables and Elliptic Equations
17 Advances in Mathematics
17 Transactions of the American Mathematical Society
16 Potential Analysis
16 Journal of Inequalities and Applications
15 Czechoslovak Mathematical Journal
15 Mathematische Zeitschrift
15 Communications on Pure and Applied Analysis
15 Mediterranean Journal of Mathematics
15 Boundary Value Problems
15 Nonlinear Analysis. Theory, Methods & Applications
14 Journal of Mathematical Physics
14 Integral Equations and Operator Theory
14 Journal of Computational and Applied Mathematics
13 Calculus of Variations and Partial Differential Equations
13 Journal of Mathematical Sciences (New York)
13 The Journal of Fourier Analysis and Applications
13 Abstract and Applied Analysis
13 Proceedings of the Steklov Institute of Mathematics
12 Rocky Mountain Journal of Mathematics
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Journal of Function Spaces
11 Journal d’Analyse Mathématique
11 Positivity
10 Mathematical Methods in the Applied Sciences
10 Russian Journal of Mathematical Physics
9 Mathematische Annalen
9 Georgian Mathematical Journal
9 Journal of Function Spaces and Applications
8 Computers & Mathematics with Applications
8 Studia Mathematica
8 Applied Mathematics and Computation
8 Siberian Mathematical Journal
8 Revista Matemática Iberoamericana
8 Applied Mathematics Letters
8 Discrete and Continuous Dynamical Systems
8 Fractional Calculus & Applied Analysis
8 Nonlinear Analysis. Real World Applications
7 Mathematical Notes
7 Arkiv för Matematik
7 Illinois Journal of Mathematics
7 Journal of Multivariate Analysis
7 Manuscripta Mathematica
7 Constructive Approximation
7 Integral Transforms and Special Functions
7 Analysis and Applications (Singapore)
6 Applicable Analysis
6 Israel Journal of Mathematics
6 Journal of Econometrics
6 Results in Mathematics
6 Acta Applicandae Mathematicae
6 The Journal of Geometric Analysis
6 Communications in Partial Differential Equations
6 Linear Algebra and its Applications
6 NoDEA. Nonlinear Differential Equations and Applications
6 Bulletin des Sciences Mathématiques
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Mathematical Inequalities & Applications
6 Complex Analysis and Operator Theory
5 Analysis Mathematica
5 Bulletin of the Australian Mathematical Society
5 Journal of Soviet Mathematics
5 Mathematika
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Acta Mathematica Hungarica
5 Forum Mathematicum
5 Doklady Mathematics
5 Taiwanese Journal of Mathematics
5 Journal of Mathematical Fluid Mechanics
5 Communications in Contemporary Mathematics
5 Advanced Nonlinear Studies
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Banach Journal of Mathematical Analysis
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Transactions of A. Razmadze Mathematical Institute
4 Communications in Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Annales de l’Institut Fourier
4 The Annals of Statistics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Glasgow Mathematical Journal
4 International Journal of Mathematics and Mathematical Sciences
4 Numerical Functional Analysis and Optimization
4 Applied Numerical Mathematics
...and 201 more Serials
all top 5

Cited in 50 Fields

708 Partial differential equations (35-XX)
699 Functional analysis (46-XX)
489 Operator theory (47-XX)
233 Harmonic analysis on Euclidean spaces (42-XX)
177 Real functions (26-XX)
117 Ordinary differential equations (34-XX)
103 Global analysis, analysis on manifolds (58-XX)
89 Approximations and expansions (41-XX)
78 Fluid mechanics (76-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
49 Potential theory (31-XX)
49 Quantum theory (81-XX)
48 Probability theory and stochastic processes (60-XX)
48 Numerical analysis (65-XX)
38 Dynamical systems and ergodic theory (37-XX)
36 Statistics (62-XX)
33 Special functions (33-XX)
29 Integral equations (45-XX)
20 Measure and integration (28-XX)
20 Differential geometry (53-XX)
19 Functions of a complex variable (30-XX)
19 Computer science (68-XX)
16 Abstract harmonic analysis (43-XX)
15 Statistical mechanics, structure of matter (82-XX)
15 Biology and other natural sciences (92-XX)
14 Difference and functional equations (39-XX)
12 Mechanics of deformable solids (74-XX)
11 Optics, electromagnetic theory (78-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Topological groups, Lie groups (22-XX)
9 Integral transforms, operational calculus (44-XX)
8 Information and communication theory, circuits (94-XX)
6 Mechanics of particles and systems (70-XX)
5 Convex and discrete geometry (52-XX)
5 Systems theory; control (93-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Relativity and gravitational theory (83-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Number theory (11-XX)
3 Operations research, mathematical programming (90-XX)
2 Combinatorics (05-XX)
2 Algebraic geometry (14-XX)
2 Algebraic topology (55-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

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