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Edmunds, David Eric

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: 248 Publications since 1956, including 14 Books
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 72 Co-Authors with 228 Joint Publications
1,327 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

Publications by Year

Citations contained in zbMATH Open

197 Publications have been cited 3,566 times in 2,466 Documents Cited by Year
Spectral theory and differential operators. Zbl 0628.47017
Edmunds, D. E.; Evans, W. D.
487
1987
Sobolev embeddings with variable exponent. Zbl 0974.46040
Edmunds, David E.; Rákosník, Jiří
317
2000
Function spaces, entropy numbers, differential operators. Zbl 0865.46020
Edmunds, David E.; Triebel, Hans
244
1996
Entropy numbers and approximation numbers in function spaces. II. Zbl 0778.46022
Edmunds, D. E.; Triebel, H.
146
1992
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
122
2004
Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019
Edmunds, D. E.; Kerman, R.; Pick, L.
113
2000
Critical exponents, critical dimensions and the biharmonic operator. Zbl 0724.35044
Edmunds, D. E.; Fortunato, D.; Jannelli, E.
111
1990
Sobolev embeddings with variable exponent. II. Zbl 1030.46033
Edmunds, David E.; Rákosník, Jiří
103
2002
Bounded and compact integral operators. Zbl 1023.42001
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
100
2002
On \(L^{p(x)}\) norms. Zbl 0953.46018
Edmunds, D. E.; Lang, J.; Nekvinda, A.
92
1999
Density of smooth functions in \(W^{k,p(x)}({\Omega{}})\). Zbl 0779.46027
Edmunds, David E.; Rákosník, Jiří
85
1992
Spectral theory and differential operators. Paperback ed. Zbl 0664.47014
Edmunds, D. E.; Evans, W. D.
74
1989
Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001
Lang, Jan; Edmunds, David
71
2011
Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034
Edmunds, D. E; Triebel, H.
58
1989
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
53
2012
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
45
1995
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
38
1997
Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031
Edmunds, David E.; Triebel, Hans
36
1999
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
35
2018
Spectral theory for isotropic fractal drums. Zbl 0920.47044
Edmunds, David; Triebel, Hans
34
1998
Remarks on generalized trigonometric functions. Zbl 1246.33001
Bushell, P. J.; Edmunds, D. E.
34
2012
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
32
1995
Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036
Edmunds, David E.; Gurka, Petr; Pick, Luboš
31
1994
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
30
1996
On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
29
2005
Non-compact positive operators. Zbl 0232.47035
Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A.
28
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.
27
2011
Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031
Edmunds, D. E.; Evans, W. D.
26
1979
Two limiting cases of Sobolev imbeddings. Zbl 0835.46027
Edmunds, D. E.; Krbec, M.
24
1995
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
24
2014
Differential operators on spaces of variable integrability. Zbl 1336.46003
Edmunds, David E.; Lang, Jan; Méndez, Osvaldo
21
2014
Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
19
1997
Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012
Edmunds, David; Triebel, Hans
19
1999
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
18
1996
Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026
Edmunds, D. E.; Haroske, D.
18
1999
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
18
2014
Interpolation theory and measures of non-compactness. Zbl 0492.46062
Teixeira, M. F.; Edmunds, D. E.
18
1981
Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035
Edmunds, D. E.; Lang, J.
17
2006
Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027
Edmunds, D. E.; Evans, W. D.
16
1974
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
16
1998
Approximation numbers of certain Volterra integral operators. Zbl 0658.47049
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
15
1988
Sobolev inequalities of exponential type. Zbl 0991.46019
Edmunds, D. E.; Hurri-Syrjänen, R.
14
2001
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
14
2002
Quasilinear elliptic problems in unbounded domains. Zbl 0263.35034
Edmunds, D. E.; Webb, J. R. L.
13
1973
On the singular numbers of certain Volterra integral operators. Zbl 0840.45013
Edmunds, D. E.; Stepanov, V. D.
13
1995
Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033
Edmunds, D. E.; Meshki, A.
13
2002
A Harnack inequality for weak solutions of degenerate quasilinear elliptic equations. Zbl 0234.35030
Edmunds, D. E.; Peletier, L. A.
13
1972
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
13
2016
Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053
Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V.
12
2014
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
Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020
Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš
12
2020
On the uniqueness of viscous flows. Zbl 0126.42302
Edmunds, D.
12
1963
Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022
Edmunds, David E.; Haroske, Dorothee D.
11
2000
Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
11
2019
Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016
Edmunds, D. E.; Lang, J.
11
2004
Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020
Edmunds, David E.; Nekvinda, Aleš
10
2002
Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024
Edmunds, D. E.; Netrusov, Yu.
10
1998
Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001
Edmunds, David E.; Triebel, Hans
10
2008
Gelfand numbers and widths. Zbl 1266.47034
Edmunds, David E.; Lang, Jan
10
2013
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
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
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
9
2005
Lower bounds for solutions of the Navier-Stokes equations. Zbl 0157.57005
Dyer, R. H.; Edmunds, D. E.
9
1968
Remarks on non-linear functional equations. Zbl 0152.34701
Edmunds, D. E.
9
1967
The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013
Edmunds, D. E.; Stepanov, V. D.
8
1994
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
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
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
7
2014
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
Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027
Edmunds, David E.; Netrusov, Yuri
7
2013
Fractional Sobolev spaces and inequalities. Zbl 1505.46003
Edmunds, D. E.; Evans, W. D.
7
2023
Remarks on non-linear spectral theory. Zbl 0539.47042
Edmunds, D. E.; Webb, J. R. L.
7
1983
On the existence of solutions of the equations of magnetohydrodynamics. Zbl 0104.43101
Dyer, R. H.; Edmunds, D. E.
7
1962
Asymptotically sharp multiplicative inequalities. Zbl 0840.46018
Edmunds, D. E.; Ilyin, A. A.
6
1995
On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028
Edmunds, D. E.; Hudzik, H.; Krbec, M.
6
2011
Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041
Edmunds, D. E.; Lang, J.
6
2007
Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001
Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander
6
2009
Weighted Poincaré inequalities and Minkowski content. Zbl 0846.26011
Edmunds, D. E.; Hurri-Syrjänen, R.
6
1995
Elliptic differential operators and spectral analysis. Zbl 1436.35003
Edmunds, David E.; Evans, W. Desmond
6
2018
Optimal function spaces for the Laplace transform. Zbl 1400.46022
Buriánková, Eva; Edmunds, David E.; Pick, Luboš
6
2017
On a measure of non-compactness for some classical operators. Zbl 1282.42012
Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander
6
2006
Asymptotic behavior of solutions of the Navier-Stokes equations. Zbl 0147.45202
Edmunds, D. E.
6
1966
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
On fractional integration in weighted Lorentz spaces. Zbl 0998.26009
Cianchi, Andrea; Edmunds, David E.
5
1997
Strongly nonlinear elliptic operators in unbounded domains. Zbl 0399.47053
Edmunds, D. E.; Moscatelli, V. B.; Webb, J. R. L.
5
1974
Logarithmic spaces and related trace problems. Zbl 0924.46029
Edmunds, David; Triebel, Hans
5
1998
On decomposition in exponential Orlicz spaces. Zbl 0971.46019
Edmunds, David E.; Krbec, Miroslav
5
2000
A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
5
2010
A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
5
2004
Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015
Edmunds, D. E.; Netrusov, Yu.
5
2014
The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060
Edmunds, D. E.; Lang, J.
5
2010
A Leray-Schauder theorem for a class of nonlinear operators. Zbl 0167.44602
Edmunds, D. E.; Webb, J. S. W.
5
1969
Removable singularities of solutions of the Navier-Stokes equations. Zbl 0206.10803
Dyer, R. H.; Edmunds, D. E.
5
1970
Fractional Sobolev spaces and inequalities. Zbl 1505.46003
Edmunds, D. E.; Evans, W. D.
7
2023
Remarks on \(j\)-eigenfunctions of operators. Zbl 07747145
Edmunds, David E.; Lang, Jan
1
2023
Almost compact and compact embeddings of variable exponent spaces. Zbl 1509.46017
Edmunds, D. E.; Gogatishvili, A.; Nekvinda, A.
1
2023
Fractional inequalities of Rellich type. Zbl 1490.26018
Edmunds, David E.; Evans, W. D.; Lewis, R. T.
1
2022
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
35
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
Characterisation of zero trace functions in higher-order spaces of Sobolev type. Zbl 1402.46024
Edmunds, D. E.; Nekvinda, A.
2
2018
On the Rellich inequality in \(L^{p(\cdot)}(a,b)\). Zbl 1391.26041
Edmunds, David; Meskhi, Alexander
2
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
6
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
5
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
Estimates of \(s\)-numbers of a Sobolev embedding involving spaces of variable exponent. Zbl 1338.46045
Edmunds, D. E.; Lang, J.; Nekvinda, A.
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
Differential operators on spaces of variable integrability. Zbl 1336.46003
Edmunds, David E.; Lang, Jan; Méndez, Osvaldo
21
2014
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
18
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
4
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
10
2013
Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027
Edmunds, David E.; Netrusov, Yuri
7
2013
Representations of linear operators between Banach spaces. Zbl 1283.47002
Edmunds, David E.; Evans, William Desmond
3
2013
The structure of compact linear operators in Banach spaces. Zbl 1334.47026
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
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
53
2012
Remarks on generalized trigonometric functions. Zbl 1246.33001
Bushell, P. J.; Edmunds, D. E.
34
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
71
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.
27
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
Coincidence of strict \(s\)-numbers of weighted Hardy operators. Zbl 1219.47033
Edmunds, David; Lang, Jan
1
2011
The improved Hardy inequality. Zbl 1235.46037
Edmunds, David E.; Hurri-Syrjänen, Ritva
1
2011
A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
5
2010
The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060
Edmunds, D. E.; Lang, 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
10
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.
4
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
29
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
122
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
103
2002
Bounded and compact integral operators. Zbl 1023.42001
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
100
2002
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
14
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
10
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.
14
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
317
2000
Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019
Edmunds, D. E.; Kerman, R.; Pick, L.
113
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.
92
1999
Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031
Edmunds, David E.; Triebel, Hans
36
1999
...and 97 more Documents
all top 5

Cited by 2,385 Authors

77 Edmunds, David Eric
49 Meskhi, Alexander
44 Cobos, Fernando
39 Kokilashvili, Vakhtang
37 Lang, Jan
36 Cianchi, Andrea
32 Haroske, Dorothee D.
32 Shimomura, Tetsu
31 Pick, Luboš
28 Triebel, Hans
26 Gesztesy, Fritz
26 Mizuta, Yoshihiro
26 Skrzypczak, Leszek
24 Gogatishvili, Amiran
24 Opic, Bohumír
24 Rădulescu, Vicenţiu D.
21 Mihăilescu, Mihai
20 Ho, Kwok-Pun
20 Kefi, Khaled
20 Kühn, Thomas
20 Samko, Stefan Grigor’evich
20 Sickel, Winfried
19 Ge, Bin
19 Krejčiřík, David
19 Tang, Xianhua
17 Fernández-Cabrera, Luz M.
17 Ohno, Takao
16 Evans, William Desmond
16 Fu, Yongqiang
16 Tretter, Christiane
15 Gurka, Petr
15 Vasil’eva, Anastasiya Andreevna
14 Fiorenza, Alberto
14 Hurri-Syrjānen, Ritva
14 Mastyło, Mieczysław
14 Vybíral, Jan
13 Dominguez, Oscar
13 Mitrea, Marius
13 Nekvinda, Aleš
13 Siegl, Petr
12 Fernández-Martínez, Pedro
12 Guo, Yuxia
12 Martínez Martínez, Antón
12 Méndez, Osvaldo
12 Domingues de Moura, Susana
12 Takeuchi, Shingo
12 Ushakova, Elena Pavlovna
11 Caetano, António M.
11 Černý, Robert
11 Fan, Xianling
11 Mamedov, Farman Imran
11 Sun, Huaqing
11 Yang, Dachun
10 Ahmed, Irshaad
10 Aouaoui, Sami
10 Bandaliev, Rovshan Alifaga ogly
10 Guliyev, Vagif Sabir
10 Hästö, Peter A.
10 Neves, Júlio Severino
10 Signes, Teresa M.
10 Sun, Jiong
10 Tsouli, Najib
10 Yuan, Wen
10 Zhou, Qingmei
9 Harjulehto, Petteri
9 Ibrahim, Sobhy El-Sayed
9 Leopold, Hans-Gerd
9 Maz’ya, Vladimir Gilelevich
9 Mihula, Zdeněk
9 Sawano, Yoshihiro
9 Stuart, Charles Alexander
9 Ullrich, Tino
9 Vähäkangas, Antti V.
8 Besoy, Blanca F.
8 Chiappinelli, Raffaele
8 Lam, Nguyen
8 Latushkin, Yuri
8 Lotoreichik, Vladimir
8 Marletta, Marco
8 Musil, Vít
8 Nguyen Tuan Duy
8 Pucci, Patrizia
8 Repovš, Dušan D.
8 Ruzhansky, Michael V.
8 Schneider, Cornelia
8 Slavíková, Lenka
8 Steinwart, Ingo
7 Alberico, Angela
7 Behrndt, Jussi
7 Bhayo, Barkat Ali
7 Chems Eddine, Nabil
7 Diening, Lars
7 Fleckinger, Jacqueline
7 Galdi, Giovanni Paolo
7 Hinrichs, Aicke
7 Jeribi, Aref
7 Karadzhov, Georgi Eremiev
7 Pastukhova, Svetlana Evgenievna
7 Petryshyn, Walter Wolodymyr
7 Popivanov, Nedyu Iv.
...and 2,285 more Authors
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Cited in 394 Serials

186 Journal of Mathematical Analysis and Applications
107 Journal of Functional Analysis
86 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
76 Journal of Differential Equations
76 Mathematische Nachrichten
74 Journal of Approximation Theory
36 Zeitschrift für Analysis und ihre Anwendungen
29 Annali di Matematica Pura ed Applicata. Serie Quarta
29 Proceedings of the American Mathematical Society
29 Journal of Complexity
29 Revista Matemática Complutense
28 Boundary Value Problems
26 Mediterranean Journal of Mathematics
25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
24 Mathematical Methods in the Applied Sciences
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
22 Advances in Mathematics
22 Acta Mathematica Sinica. English Series
22 Complex Variables and Elliptic Equations
21 Integral Equations and Operator Theory
20 Archive for Rational Mechanics and Analysis
20 The Journal of Fourier Analysis and Applications
20 Positivity
19 Mathematische Zeitschrift
19 Potential Analysis
19 Journal of Inequalities and Applications
19 Communications on Pure and Applied Analysis
18 Transactions of the American Mathematical Society
17 Calculus of Variations and Partial Differential Equations
16 Applicable Analysis
16 Journal of Mathematical Physics
16 Mathematische Annalen
16 The Journal of Geometric Analysis
16 Journal of Mathematical Sciences (New York)
16 Nonlinear Analysis. Theory, Methods & Applications
15 Czechoslovak Mathematical Journal
15 Abstract and Applied Analysis
14 Rocky Mountain Journal of Mathematics
14 Journal of Computational and Applied Mathematics
14 Results in Mathematics
14 Proceedings of the Steklov Institute of Mathematics
14 Journal of Function Spaces
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Mathematical Inequalities & Applications
12 Journal d’Analyse Mathématique
12 Studia Mathematica
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Fractional Calculus & Applied Analysis
12 Transactions of A. Razmadze Mathematical Institute
11 Siberian Mathematical Journal
11 Discrete and Continuous Dynamical Systems
11 Journal of Mathematical Inequalities
10 Mathematical Notes
10 Applied Mathematics Letters
10 Russian Journal of Mathematical Physics
10 Georgian Mathematical Journal
10 Nonlinear Analysis. Real World Applications
10 Journal of Elliptic and Parabolic Equations
9 Applied Mathematics and Computation
9 SIAM Journal on Mathematical Analysis
9 NoDEA. Nonlinear Differential Equations and Applications
9 Journal of Function Spaces and Applications
9 Boletim da Sociedade Paranaense de Matemática. Terceira Série
9 Complex Analysis and Operator Theory
9 Banach Journal of Mathematical Analysis
9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8 Analysis Mathematica
8 Computers & Mathematics with Applications
8 Arkiv för Matematik
8 Manuscripta Mathematica
8 Acta Applicandae Mathematicae
8 Constructive Approximation
8 Revista Matemática Iberoamericana
8 Forum Mathematicum
8 Integral Transforms and Special Functions
8 Annales Henri Poincaré
8 Advanced Nonlinear Studies
8 Analysis and Applications (Singapore)
8 Annals of Functional Analysis
7 Communications in Mathematical Physics
7 Illinois Journal of Mathematics
7 Journal of Multivariate Analysis
7 Communications in Partial Differential Equations
7 Linear Algebra and its Applications
7 Bulletin des Sciences Mathématiques
6 Israel Journal of Mathematics
6 Journal of Econometrics
6 Mathematika
6 Monatshefte für Mathematik
6 Electronic Journal of Differential Equations (EJDE)
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Doklady Mathematics
6 Journal of Mathematical Fluid Mechanics
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Electronic Journal of Statistics
6 Discrete and Continuous Dynamical Systems. Series S
6 Advances in Pure and Applied Mathematics
6 Journal of Pseudo-Differential Operators and Applications
6 Journal of Spectral Theory
6 Analysis and Mathematical Physics
...and 294 more Serials
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Cited in 53 Fields

1,025 Partial differential equations (35-XX)
927 Functional analysis (46-XX)
678 Operator theory (47-XX)
338 Harmonic analysis on Euclidean spaces (42-XX)
266 Real functions (26-XX)
159 Ordinary differential equations (34-XX)
124 Global analysis, analysis on manifolds (58-XX)
119 Approximations and expansions (41-XX)
97 Fluid mechanics (76-XX)
83 Probability theory and stochastic processes (60-XX)
71 Quantum theory (81-XX)
70 Potential theory (31-XX)
68 Calculus of variations and optimal control; optimization (49-XX)
65 Numerical analysis (65-XX)
53 Special functions (33-XX)
51 Statistics (62-XX)
47 Dynamical systems and ergodic theory (37-XX)
36 Integral equations (45-XX)
31 Measure and integration (28-XX)
31 Functions of a complex variable (30-XX)
27 Computer science (68-XX)
26 Differential geometry (53-XX)
25 Difference and functional equations (39-XX)
25 Biology and other natural sciences (92-XX)
23 Optics, electromagnetic theory (78-XX)
20 Mechanics of deformable solids (74-XX)
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17 Information and communication theory, circuits (94-XX)
13 Integral transforms, operational calculus (44-XX)
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11 Linear and multilinear algebra; matrix theory (15-XX)
9 Systems theory; control (93-XX)
8 Relativity and gravitational theory (83-XX)
7 Mechanics of particles and systems (70-XX)
7 Operations research, mathematical programming (90-XX)
6 Combinatorics (05-XX)
6 Number theory (11-XX)
6 Convex and discrete geometry (52-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Algebraic geometry (14-XX)
3 Geometry (51-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
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