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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
1,318 Co-Co-Authors
all top 5

Co-Authors

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

Serials

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

Publications by Year

Citations contained in zbMATH Open

194 Publications have been cited 3,382 times in 2,333 Documents Cited by Year
Spectral theory and differential operators. Zbl 0628.47017
Edmunds, D. E.; Evans, W. D.
446
1987
Sobolev embeddings with variable exponent. Zbl 0974.46040
Edmunds, David E.; Rákosník, Jiří
302
2000
Function spaces, entropy numbers, differential operators. Zbl 0865.46020
Edmunds, David E.; Triebel, Hans
237
1996
Entropy numbers and approximation numbers in function spaces. II. Zbl 0778.46022
Edmunds, D. E.; Triebel, H.
145
1992
Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019
Edmunds, D. E.; Kerman, R.; Pick, L.
110
2000
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
106
2004
Critical exponents, critical dimensions and the biharmonic operator. Zbl 0724.35044
Edmunds, D. E.; Fortunato, D.; Jannelli, E.
105
1990
Sobolev embeddings with variable exponent. II. Zbl 1030.46033
Edmunds, David E.; Rákosník, Jiří
96
2002
Bounded and compact integral operators. Zbl 1023.42001
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
94
2002
On \(L^{p(x)}\) norms. Zbl 0953.46018
Edmunds, D. E.; Lang, J.; Nekvinda, A.
89
1999
Density of smooth functions in \(W^{k,p(x)}({\Omega{}})\). Zbl 0779.46027
Edmunds, David E.; Rákosník, Jiří
80
1992
Spectral theory and differential operators. Paperback ed. Zbl 0664.47014
Edmunds, D. E.; Evans, W. D.
71
1989
Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001
Lang, Jan; Edmunds, David
63
2011
Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034
Edmunds, D. E; Triebel, H.
57
1989
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
52
2012
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Zbl 0826.47021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
43
1995
Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031
Edmunds, David E.; Triebel, Hans
35
1999
On embeddings of logarithmic Bessel potential spaces. Zbl 0934.46036
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
35
1997
Remarks on generalized trigonometric functions. Zbl 1246.33001
Bushell, P. J.; Edmunds, D. E.
32
2012
Spectral theory for isotropic fractal drums. Zbl 0920.47044
Edmunds, David; Triebel, Hans
31
1998
Double exponential integrability, Bessel potentials and embedding theorems. Zbl 0829.47024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
31
1995
Compactness of Hardy-type integral operators in weighted Banach function spaces. Zbl 0821.46036
Edmunds, David E.; Gurka, Petr; Pick, Luboš
30
1994
Sharpness of embeddings in logarithmic Bessel-potential spaces. Zbl 0860.46024
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
29
1996
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
28
2018
Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022
Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E.
26
2011
Non-compact positive operators. Zbl 0232.47035
Edmunds, D. E.; Potter, A. J. B.; Stuart, C. A.
26
1972
On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
26
2005
Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031
Edmunds, D. E.; Evans, W. D.
26
1979
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
26
2014
Two limiting cases of Sobolev imbeddings. Zbl 0835.46027
Edmunds, D. E.; Krbec, M.
23
1995
Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012
Edmunds, David; Triebel, Hans
18
1999
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
18
1996
Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
18
1997
Differential operators on spaces of variable integrability. Zbl 1336.46003
Edmunds, David E.; Lang, Jan; Méndez, Osvaldo
18
2014
Interpolation theory and measures of non-compactness. Zbl 0492.46062
Teixeira, M. F.; Edmunds, D. E.
17
1981
Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026
Edmunds, D. E.; Haroske, D.
17
1999
Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035
Edmunds, D. E.; Lang, J.
17
2006
Norms of embeddings of logarithmic Bessel potential spaces. Zbl 0895.46020
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
16
1998
Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027
Edmunds, D. E.; Evans, W. D.
16
1974
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
16
2014
Approximation numbers of certain Volterra integral operators. Zbl 0658.47049
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
14
1988
Sobolev inequalities of exponential type. Zbl 0991.46019
Edmunds, D. E.; Hurri-Syrjänen, R.
13
2001
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
13
2002
A Harnack inequality for weak solutions of degenerate quasilinear elliptic equations. Zbl 0234.35030
Edmunds, D. E.; Peletier, L. A.
13
1972
Quasilinear elliptic problems in unbounded domains. Zbl 0263.35034
Edmunds, D. E.; Webb, J. R. L.
13
1973
Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033
Edmunds, D. E.; Meshki, A.
13
2002
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
13
2016
Entropy numbers and interpolation. Zbl 1236.46017
Edmunds, D. E.; Netrusov, Yu.
12
2011
Weighted Poincaré and Friedrichs inequalities. Zbl 0797.46027
Edmunds, D. E.; Opic, B.
12
1993
Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053
Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V.
12
2014
Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020
Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš
12
2020
Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022
Edmunds, David E.; Haroske, Dorothee D.
11
2000
On the singular numbers of certain Volterra integral operators. Zbl 0840.45013
Edmunds, D. E.; Stepanov, V. D.
11
1995
Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016
Edmunds, D. E.; Lang, J.
11
2004
On the uniqueness of viscous flows. Zbl 0126.42302
Edmunds, D.
11
1963
Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
11
2019
Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028
Edmunds, D. E.; Triebel, H.
10
1995
Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\). Zbl 1016.47035
Edmunds, D. E.; Kerman, R.; Lang, J.
10
2001
Real interpolation and compact linear operators. Zbl 0704.46049
Cobos, Fernando; Edmunds, David E.; Potter, Anthony J. B.
10
1990
Weighted Hardy inequalities. Zbl 1074.26004
Edmunds, D. E.; Hurri-Syrjänen, R.
9
2005
Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces. Zbl 0919.46024
Edmunds, D. E.; Netrusov, Yu.
9
1998
Some \(s\)-numbers of an integral operator of Hardy type on \(L^{p(\cdot)}\) spaces. Zbl 1175.47017
Edmunds, D. E.; Lang, J.; Nekvinda, A.
9
2009
Remarks on non-linear functional equations. Zbl 0152.34701
Edmunds, D. E.
9
1967
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
9
2005
Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020
Edmunds, David E.; Nekvinda, Aleš
9
2002
Gelfand numbers and widths. Zbl 1266.47034
Edmunds, David E.; Lang, Jan
9
2013
Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001
Edmunds, David E.; Triebel, Hans
8
2008
Lower bounds for solutions of the Navier-Stokes equations. Zbl 0157.57005
Dyer, R. H.; Edmunds, D. E.
8
1968
The measure of non-compactness and approximation numbers of certain Volterra integral operators. Zbl 0788.45013
Edmunds, D. E.; Stepanov, V. D.
8
1994
Remarks on non-linear spectral theory. Zbl 0539.47042
Edmunds, D. E.; Webb, J. R. L.
7
1983
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
7
2000
A nonlocal regularization of some overdetermined boundary-value problems. I. Zbl 0915.35064
Edmunds, D. E.; Popivanov, N. I.
7
1998
Two-weighted inequalities for singular integrals. Zbl 0839.47022
Edmunds, David E.; Kokilashvili, Vakhtang M.
7
1995
Fourier approximation and embeddings of Sobolev spaces. Zbl 0359.42011
Edmunds, D. E.; Moscatelli, V. B.
7
1977
On the existence of solutions of the equations of magnetohydrodynamics. Zbl 0104.43101
Dyer, R. H.; Edmunds, D. E.
7
1962
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
7
2014
Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
7
2008
Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027
Edmunds, David E.; Netrusov, Yuri
7
2013
On a measure of non-compactness for some classical operators. Zbl 1282.42012
Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander
6
2006
Asymptotically sharp multiplicative inequalities. Zbl 0840.46018
Edmunds, D. E.; Ilyin, A. A.
6
1995
Weighted Poincaré inequalities and Minkowski content. Zbl 0846.26011
Edmunds, D. E.; Hurri-Syrjänen, R.
6
1995
On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028
Edmunds, D. E.; Hudzik, H.; Krbec, M.
6
2011
Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001
Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander
6
2009
Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041
Edmunds, D. E.; Lang, J.
6
2007
Removable singularities of solutions of quasi-linear parabolic equations. Zbl 0195.39303
Edmunds, D. E.; Peletier, L. A.
6
1970
On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
6
2002
Elliptic differential operators and spectral analysis. Zbl 1436.35003
Edmunds, David E.; Evans, W. Desmond
6
2018
On decomposition in exponential Orlicz spaces. Zbl 0971.46019
Edmunds, David E.; Krbec, Miroslav
5
2000
The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060
Edmunds, D. E.; Lang, J.
5
2010
Removable singularities of solutions of the Navier-Stokes equations. Zbl 0206.10803
Dyer, R. H.; Edmunds, D. E.
5
1970
Logarithmic spaces and related trace problems. Zbl 0924.46029
Edmunds, David; Triebel, Hans
5
1998
A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
5
2004
Asymptotic behavior of solutions of the Navier-Stokes equations. Zbl 0147.45202
Edmunds, D. E.
5
1966
Asymptotic behaviour of solutions of the stationary Navier-Stokes equations. Zbl 0162.41104
Dyer, R. H.; Edmunds, D. E.
5
1969
A Leray-Schauder theorem for a class of nonlinear operators. Zbl 0167.44602
Edmunds, D. E.; Webb, J. S. W.
5
1969
Strongly nonlinear elliptic operators in unbounded domains. Zbl 0399.47053
Edmunds, D. E.; Moscatelli, V. B.; Webb, J. R. L.
5
1974
Optimal function spaces for the Laplace transform. Zbl 1400.46022
Buriánková, Eva; Edmunds, David E.; Pick, Luboš
5
2017
A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
5
2010
Fractional Sobolev spaces and inequalities. Zbl 1505.46003
Edmunds, D. E.; Evans, W. D.
5
2023
Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015
Edmunds, D. E.; Netrusov, Yu.
5
2014
Fractional Sobolev spaces and inequalities. Zbl 1505.46003
Edmunds, D. E.; Evans, W. D.
5
2023
Almost compact and compact embeddings of variable exponent spaces. Zbl 1509.46017
Edmunds, D. E.; Gogatishvili, A.; Nekvinda, A.
1
2023
Remarks on \(j\)-eigenfunctions of operators. Zbl 07747145
Edmunds, David E.; Lang, Jan
1
2023
Embeddings in grand variable exponent function spaces. Zbl 1480.46050
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
4
2021
Measure of noncompactness of Sobolev embeddings on strip-like domains. Zbl 1483.46029
Edmunds, David E.; Lang, Jan; Mihula, Zdeněk
2
2021
Boundedness of classical operators on rearrangement-invariant spaces. Zbl 1430.42020
Edmunds, David E.; Mihula, Zdeněk; Musil, Vít; Pick, Luboš
12
2020
Nuclear embeddings of Besov spaces into Zygmund spaces. Zbl 1445.46035
Cobos, Fernando; Edmunds, David E.; Kühn, Thomas
3
2020
Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
11
2019
Two-weighted Hardy operators in \(L^{p(\cdot)}\) spaces and applications. Zbl 1521.47080
Edmunds, David E.; Meskhi, Alexander
2
2019
Behaviour of \(L_{q}\) norms of the \(\operatorname {sinc}_{p}\) function. Zbl 1404.33021
Edmunds, David E.; Melkonian, Houry
2
2019
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
28
2018
Elliptic differential operators and spectral analysis. Zbl 1436.35003
Edmunds, David E.; Evans, W. Desmond
6
2018
Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\). Zbl 1425.46017
Edmunds, David; Gogatishvili, Amiran; Kopaliani, Tengiz
3
2018
On the Rellich inequality in \(L^{p(\cdot)}(a,b)\). Zbl 1391.26041
Edmunds, David; Meskhi, Alexander
2
2018
Characterisation of zero trace functions in higher-order spaces of Sobolev type. Zbl 1402.46024
Edmunds, D. E.; Nekvinda, A.
1
2018
Basis and regularity properties of (\(p\),\(q\))-trigonometric functions and the decay of (\(p\),\(q\))-Fourier coefficients. Zbl 1402.42004
Edmunds, David E.; Melkonian, Houry
1
2018
Optimal function spaces for the Laplace transform. Zbl 1400.46022
Buriánková, Eva; Edmunds, David E.; Pick, Luboš
5
2017
Characterisation of zero trace functions in variable exponent Sobolev spaces. Zbl 1410.46020
Edmunds, D. E.; Nekvinda, Aleš
3
2017
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
13
2016
Nuclearity and non-nuclearity of some Sobolev embeddings on domains. Zbl 1361.46028
Edmunds, David E.; Gurka, Petr; Lang, Jan
4
2016
Asymptotic formulae for \(s\)-numbers of a Sobolev embedding and a Volterra type operator. Zbl 1338.47014
Edmunds, David E.; Lang, Jan
2
2016
Series representation of compact linear operators in Banach spaces. Zbl 1416.46027
Edmunds, David E.; Lang, Jan
1
2016
Generalizing trigonometric functions from different points of view. Zbl 1353.33002
Edmunds, David E.; Lang, Jan
1
2015
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
26
2014
Differential operators on spaces of variable integrability. Zbl 1336.46003
Edmunds, David E.; Lang, Jan; Méndez, Osvaldo
18
2014
Limiting variants of Krasnosel’skiĭ’s compact interpolation theorem. Zbl 1336.46021
Edmunds, David E.; Opic, Bohumír
16
2014
Fractional Hardy-type inequalities in domains with uniformly fat complement. Zbl 1296.26053
Edmunds, David E.; Hurri-Syrjänen, Ritva; Vähäkangas, Antti V.
12
2014
Basis properties of generalized trigonometric functions. Zbl 1311.46008
Edmunds, David E.; Gurka, Petr; Lang, Jan
7
2014
Schütt’s theorem for vector-valued sequence spaces. Zbl 1286.47015
Edmunds, D. E.; Netrusov, Yu.
5
2014
Non-nuclearity of a Sobolev embedding on an interval. Zbl 1301.46012
Edmunds, David E.; Lang, Jan
3
2014
From real to complex analysis. Zbl 1296.00021
Dyer, R. H.; Edmunds, D. E.
1
2014
Gelfand numbers and widths. Zbl 1266.47034
Edmunds, David E.; Lang, Jan
9
2013
Entropy numbers of operators acting between vector-valued sequence spaces. Zbl 1310.47027
Edmunds, David E.; Netrusov, Yuri
7
2013
The structure of compact linear operators in Banach spaces. Zbl 1334.47026
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
3
2013
Representations of linear operators between Banach spaces. Zbl 1283.47002
Edmunds, David E.; Evans, William Desmond
3
2013
Explicit representation of compact linear operators in Banach spaces via polar sets. Zbl 1277.47027
Edmunds, David E.; Lang, Jan
2
2013
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
52
2012
Remarks on generalized trigonometric functions. Zbl 1246.33001
Bushell, P. J.; Edmunds, D. E.
32
2012
Coincidence and calculation of some strict \(s\)-numbers. Zbl 1257.47021
Edmunds, David E.; Lang, Jan
1
2012
Eigenvalues, embeddings and generalised trigonometric functions. Zbl 1220.47001
Lang, Jan; Edmunds, David
63
2011
Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022
Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E.
26
2011
Entropy numbers and interpolation. Zbl 1236.46017
Edmunds, D. E.; Netrusov, Yu.
12
2011
On weighted critical imbeddings of Sobolev spaces. Zbl 1226.46028
Edmunds, D. E.; Hudzik, H.; Krbec, M.
6
2011
The improved Hardy inequality. Zbl 1235.46037
Edmunds, David E.; Hurri-Syrjänen, Ritva
1
2011
Coincidence of strict \(s\)-numbers of weighted Hardy operators. Zbl 1219.47033
Edmunds, David; Lang, Jan
1
2011
The \(\mathfrak j\)-eigenfunctions and \(s\)-numbers. Zbl 1189.47060
Edmunds, D. E.; Lang, J.
5
2010
A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
5
2010
Entropy numbers of limiting embeddings of logarithmic Sobolev spaces into exponential spaces. Zbl 1195.46031
Edmunds, David E.; Gurka, Petr
2
2010
Embeddings, Hardy operators and nonlinear problems. Zbl 1208.46031
Edmunds, D. E.
1
2010
Some \(s\)-numbers of an integral operator of Hardy type on \(L^{p(\cdot)}\) spaces. Zbl 1175.47017
Edmunds, D. E.; Lang, J.; Nekvinda, A.
9
2009
Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001
Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander
6
2009
Generalized trigonometric functions from different points of view. Zbl 1265.33001
Edmunds, David; Lang, Jan
1
2009
Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001
Edmunds, David E.; Triebel, Hans
8
2008
Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
7
2008
Alternative characterizations of Lorentz–Karamata spaces. Zbl 1174.46019
Edmunds, D. E.; Opic, B.
3
2008
Asymptotics for eigenvalues of a non-linear integral system. Zbl 1164.45004
Edmunds, D. E.; Lang, J.
2
2008
One-sided operators in \(L^{p (x)}\) spaces. Zbl 1214.42027
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
1
2008
Bernstein widths of Hardy-type operators in a non-homogeneous case. Zbl 1126.47041
Edmunds, D. E.; Lang, J.
6
2007
Sharp estimates of the embedding constants for Besov spaces \(b^s_{p,q}\), \(0<p<1\). Zbl 1137.46019
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Gyorgi E.
3
2007
Operators of Hardy type. Zbl 1127.47032
Edmunds, D. E.; Lang, J.
2
2007
Approximation numbers and Kolmogorov widths of Hardy-type operators in a non-homogeneous case. Zbl 1102.47035
Edmunds, D. E.; Lang, J.
17
2006
On a measure of non-compactness for some classical operators. Zbl 1282.42012
Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander
6
2006
Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces. Zbl 1104.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
4
2006
Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E.
4
2006
Two-weight estimates in \(L^{p(x)}\) spaces for classical integral operators and applications to the norm summability of Fourier trigonometric series. Zbl 1176.42016
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
2
2006
Spectral problems on arbitrary open subsets of \(\mathbb R^n\) involving the distance to the boundary. Zbl 1110.46022
Edmunds, D. E.; Evans, W. D.
1
2006
On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
26
2005
Weighted Hardy inequalities. Zbl 1074.26004
Edmunds, D. E.; Hurri-Syrjänen, R.
9
2005
Compact and continuous embeddings of logarithmic Bessel potential spaces. Zbl 1083.46017
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
9
2005
The inner variation of an operator and the essential norms of pointwise multipliers in function spaces. Zbl 1083.47012
Edmunds, D. E.; Shargorodsky, E.
4
2005
Variations on Yano’s extrapolation theorem. Zbl 1084.46022
Edmunds, David E.; Krbec, Miroslav
3
2005
Formulae for the distance in some quasi-Banach spaces. Zbl 1154.46304
Edmunds, David E.; Karadzhov, Georgi E.
2
2005
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
106
2004
Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case. Zbl 1058.47016
Edmunds, D. E.; Lang, J.
11
2004
A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
5
2004
Rellich’s theorem in irregular domains. Zbl 1063.46023
Edmunds, David E.; Hurri-Syrjänen, Ritva
4
2004
Gelfand numbers and metric entropy of convex hulls in Hilbert spaces. Zbl 1054.41018
Carl, Bernd; Edmunds, David E.
4
2003
On a measure of non-compactness for maximal operators. Zbl 1029.42009
Edmunds, D. E.; Meskhi, A.
3
2003
Equivalent quasi-norms on Lorentz spaces. Zbl 1023.46025
Edmunds, David E.; Opic, Bohumír
3
2003
Sobolev embeddings with variable exponent. II. Zbl 1030.46033
Edmunds, David E.; Rákosník, Jiří
96
2002
Bounded and compact integral operators. Zbl 1023.42001
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander
94
2002
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. Zbl 1019.42012
Edmunds, David E.; Opic, Bohumír
13
2002
Potential-type operators in \(L^{p(x)}\) spaces. Zbl 1031.46033
Edmunds, D. E.; Meshki, A.
13
2002
Averaging operators on \(l^{\{p_n\}}\) and \(L^{p(x)}\). Zbl 1013.46020
Edmunds, David E.; Nekvinda, Aleš
9
2002
On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
6
2002
Sobolev inequalities of exponential type. Zbl 0991.46019
Edmunds, D. E.; Hurri-Syrjänen, R.
13
2001
Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\). Zbl 1016.47035
Edmunds, D. E.; Kerman, R.; Lang, J.
10
2001
Entropy of \(C(X)\)-valued operators and diverse applications. Zbl 1031.41013
Carl, Bernd; Edmunds, David E.
4
2001
Weight inequalities for singular integrals defined on spaces of homogeneous and nonhomogeneous type. Zbl 1002.42009
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
1
2001
Sobolev embeddings with variable exponent. Zbl 0974.46040
Edmunds, David E.; Rákosník, Jiří
302
2000
Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms. Zbl 0955.46019
Edmunds, D. E.; Kerman, R.; Pick, L.
110
2000
Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Zbl 0997.41022
Edmunds, David E.; Haroske, Dorothee D.
11
2000
Optimality of embeddings of logarithmic Bessel potential spaces. Zbl 0957.46021
Edmunds, David E.; Gurka, Petr; Opic, Bohumír
7
2000
On decomposition in exponential Orlicz spaces. Zbl 0971.46019
Edmunds, David E.; Krbec, Miroslav
5
2000
Two-weight estimates for singular integrals defined on spaces of homogeneous type. Zbl 0959.47018
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A.
3
2000
Coverings of convex sets and volume inequalities. Zbl 0951.52005
Carl, B.; Edmunds, D.
1
2000
On \(L^{p(x)}\) norms. Zbl 0953.46018
Edmunds, D. E.; Lang, J.; Nekvinda, A.
89
1999
Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031
Edmunds, David E.; Triebel, Hans
35
1999
Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012
Edmunds, David; Triebel, Hans
18
1999
Spaces of Lipschitz type, embeddings and entropy numbers. Zbl 0932.46026
Edmunds, D. E.; Haroske, D.
17
1999
...and 94 more Documents
all top 5

Cited by 2,269 Authors

75 Edmunds, David Eric
48 Meskhi, Alexander
42 Cobos, Fernando
38 Kokilashvili, Vakhtang
36 Lang, Jan
35 Cianchi, Andrea
32 Haroske, Dorothee D.
31 Pick, Luboš
30 Shimomura, Tetsu
27 Triebel, Hans
26 Skrzypczak, Leszek
24 Gesztesy, Fritz
24 Mizuta, Yoshihiro
24 Rădulescu, Vicenţiu D.
23 Opic, Bohumír
22 Gogatishvili, Amiran
21 Mihăilescu, Mihai
20 Kühn, Thomas
20 Samko, Stefan Grigor’evich
20 Sickel, Winfried
19 Kefi, Khaled
18 Ho, Kwok-Pun
18 Tang, Xianhua
17 Krejčiřík, David
17 Ohno, Takao
16 Evans, William Desmond
16 Fu, Yongqiang
16 Ge, Bin
15 Fernández-Cabrera, Luz M.
15 Gurka, Petr
15 Tretter, Christiane
15 Vasil’eva, Anastasiya Andreevna
14 Hurri-Syrjānen, Ritva
14 Mastyło, Mieczysław
14 Vybíral, Jan
13 Dominguez, Oscar
13 Mitrea, Marius
13 Siegl, Petr
12 Fiorenza, Alberto
12 Domingues de Moura, Susana
12 Takeuchi, Shingo
12 Ushakova, Elena Pavlovna
11 Caetano, António M.
11 Černý, Robert
11 Fan, Xianling
11 Fernández-Martínez, Pedro
11 Martínez Martínez, Antón
11 Yang, Dachun
10 Ahmed, Irshaad
10 Aouaoui, Sami
10 Bandaliev, Rovshan Alifaga ogly
10 Guliyev, Vagif Sabir
10 Hästö, Peter A.
10 Mamedov, Farman Imran
10 Méndez, Osvaldo
10 Nekvinda, Aleš
10 Neves, Júlio Severino
10 Sun, Jiong
10 Tsouli, Najib
10 Yuan, Wen
9 Guo, Yuxia
9 Harjulehto, Petteri
9 Ibrahim, Sobhy El-Sayed
9 Leopold, Hans-Gerd
9 Maz’ya, Vladimir Gilelevich
9 Sawano, Yoshihiro
9 Signes, Teresa M.
9 Stuart, Charles Alexander
9 Sun, Huaqing
9 Ullrich, Tino
9 Vähäkangas, Antti V.
9 Zhou, Qingmei
8 Besoy, Blanca F.
8 Chiappinelli, Raffaele
8 Lam, Nguyen
8 Mihula, Zdeněk
8 Musil, Vít
8 Nguyen Tuan Duy
8 Pucci, Patrizia
8 Repovš, Dušan D.
8 Schneider, Cornelia
8 Slavíková, Lenka
8 Steinwart, Ingo
7 Alberico, Angela
7 Bhayo, Barkat Ali
7 Chems Eddine, Nabil
7 Fleckinger, Jacqueline
7 Galdi, Giovanni Paolo
7 Hinrichs, Aicke
7 Karadzhov, Georgi Eremiev
7 Lotoreichik, Vladimir
7 Pastukhova, Svetlana Evgenievna
7 Petryshyn, Walter Wolodymyr
7 Popivanov, Nedyu Iv.
7 Pustylnik, Evgeniy
7 Rafeiro, Humberto
7 Ricker, Werner Joseph
7 Ruf, Bernhard
7 Ruzhansky, Michael V.
7 Tuominen, Heli
...and 2,169 more Authors
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Cited in 384 Serials

182 Journal of Mathematical Analysis and Applications
106 Journal of Functional Analysis
84 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
76 Journal of Differential Equations
74 Journal of Approximation Theory
59 Mathematische Nachrichten
36 Zeitschrift für Analysis und ihre Anwendungen
29 Proceedings of the American Mathematical Society
29 Journal of Complexity
28 Annali di Matematica Pura ed Applicata. Serie Quarta
28 Revista Matemática Complutense
26 Boundary Value Problems
25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
24 Mediterranean Journal of Mathematics
22 Acta Mathematica Sinica. English Series
22 Complex Variables and Elliptic Equations
21 Advances in Mathematics
20 Archive for Rational Mechanics and Analysis
19 The Journal of Fourier Analysis and Applications
19 Positivity
19 Communications on Pure and Applied Analysis
18 Mathematische Zeitschrift
18 Transactions of the American Mathematical Society
18 Potential Analysis
18 Journal of Inequalities and Applications
16 Journal of Mathematical Physics
16 Mathematical Methods in the Applied Sciences
16 Integral Equations and Operator Theory
16 Calculus of Variations and Partial Differential Equations
16 Journal of Mathematical Sciences (New York)
15 Applicable Analysis
15 Czechoslovak Mathematical Journal
15 Abstract and Applied Analysis
15 Nonlinear Analysis. Theory, Methods & Applications
14 Journal of Computational and Applied Mathematics
14 Mathematische Annalen
14 Results in Mathematics
14 The Journal of Geometric Analysis
14 Proceedings of the Steklov Institute of Mathematics
14 Journal of Function Spaces
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Journal d’Analyse Mathématique
12 Rocky Mountain Journal of Mathematics
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Transactions of A. Razmadze Mathematical Institute
11 Studia Mathematica
11 Discrete and Continuous Dynamical Systems
11 Fractional Calculus & Applied Analysis
10 Siberian Mathematical Journal
10 Applied Mathematics Letters
10 Russian Journal of Mathematical Physics
10 Georgian Mathematical Journal
10 Mathematical Inequalities & Applications
9 Mathematical Notes
9 Applied Mathematics and Computation
9 NoDEA. Nonlinear Differential Equations and Applications
9 Nonlinear Analysis. Real World Applications
9 Journal of Function Spaces and Applications
9 Complex Analysis and Operator Theory
9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 Journal of Elliptic and Parabolic Equations
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 Advanced Nonlinear Studies
8 Analysis and Applications (Singapore)
8 Boletim da Sociedade Paranaense de Matemática. Terceira Série
8 Journal of Mathematical Inequalities
8 Banach Journal of Mathematical 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 SIAM Journal on Mathematical Analysis
7 Bulletin des Sciences Mathématiques
7 Annals of Functional Analysis
6 Israel Journal of Mathematics
6 Journal of Econometrics
6 Mathematika
6 Monatshefte für Mathematik
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Doklady Mathematics
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Electronic Journal of Statistics
6 Advances in Pure and Applied Mathematics
6 AIMS Mathematics
5 Bulletin of the Australian Mathematical Society
5 Indian Journal of Pure & Applied Mathematics
5 Glasgow Mathematical Journal
5 International Journal of Mathematics and Mathematical Sciences
5 Journal of Soviet Mathematics
5 Proceedings of the Edinburgh Mathematical Society. Series II
...and 284 more Serials
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Cited in 52 Fields

963 Partial differential equations (35-XX)
889 Functional analysis (46-XX)
638 Operator theory (47-XX)
317 Harmonic analysis on Euclidean spaces (42-XX)
250 Real functions (26-XX)
145 Ordinary differential equations (34-XX)
116 Global analysis, analysis on manifolds (58-XX)
113 Approximations and expansions (41-XX)
90 Fluid mechanics (76-XX)
76 Probability theory and stochastic processes (60-XX)
66 Quantum theory (81-XX)
65 Potential theory (31-XX)
63 Calculus of variations and optimal control; optimization (49-XX)
62 Numerical analysis (65-XX)
50 Special functions (33-XX)
50 Statistics (62-XX)
46 Dynamical systems and ergodic theory (37-XX)
34 Integral equations (45-XX)
31 Functions of a complex variable (30-XX)
29 Measure and integration (28-XX)
27 Computer science (68-XX)
26 Differential geometry (53-XX)
24 Difference and functional equations (39-XX)
24 Biology and other natural sciences (92-XX)
20 Mechanics of deformable solids (74-XX)
18 Abstract harmonic analysis (43-XX)
17 Optics, electromagnetic theory (78-XX)
17 Statistical mechanics, structure of matter (82-XX)
17 Information and communication theory, circuits (94-XX)
13 Integral transforms, operational calculus (44-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Topological groups, Lie groups (22-XX)
8 Relativity and gravitational theory (83-XX)
8 Systems theory; control (93-XX)
7 Mechanics of particles and systems (70-XX)
6 Number theory (11-XX)
6 Convex and discrete geometry (52-XX)
6 Operations research, mathematical programming (90-XX)
5 Combinatorics (05-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 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

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