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Leopold, Hans-Gerd

Co-Author Distance
Author ID: leopold.hans-gerd Recent zbMATH articles by "Leopold, Hans-Gerd"
Published as: Leopold, Hans-Gerd; Leopold, H.-G.; Leopold, H. G.
External Links: MGP
Documents Indexed: 36 Publications since 1977
Co-Authors: 10 Co-Authors with 18 Joint Publications
217 Co-Co-Authors
all top 5

Co-Authors

18 single-authored
9 Skrzypczak, Leszek
4 Kühn, Thomas
4 Schrohe, Elmar
4 Sickel, Winfried
2 Caetano, António M.
2 Haroske, Dorothee D.
1 Farkas, Walter
1 Jacob, Niels
1 Domingues de Moura, Susana
1 Triebel, Hans
all top 5

Serials

7 Mathematische Nachrichten
2 Journal of Approximation Theory
2 Manuscripta Mathematica
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Zeitschrift für Analysis und ihre Anwendungen
1 Analysis Mathematica
1 Journal of Mathematical Analysis and Applications
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of Functional Analysis
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Journal of Complexity
1 Constructive Approximation
1 Forum Mathematicum
1 Wissenschaftliche Zeitschrift der Friedrich-Schiller-Universität Jena. Mathematisch-Naturwissenschaftliche Reihe
1 Georgian Mathematical Journal
1 The Journal of Fourier Analysis and Applications
all top 5

Fields

29 Functional analysis (46-XX)
21 Operator theory (47-XX)
17 Partial differential equations (35-XX)
6 Approximations and expansions (41-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Numerical analysis (65-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

28 Publications have been cited 450 times in 253 Documents Cited by ▼ Year ▼
Characterisations of function spaces of generalised smoothness. Zbl 1116.46024
Farkas, Walter; Leopold, Hans-Gerd
80
2006
Pseudodifferential operators with variable order of differentiation generating Feller semigroups. Zbl 0793.35139
Jacob, Niels; Leopold, Hans-Gerd
50
1993
Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration. Zbl 1008.46015
Leopold, Hans-Gerd
46
1999
Entropy numbers of embeddings of weighted Besov spaces. II. Zbl 1103.41027
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
38
2006
Embeddings and entropy numbers in Besov spaces of generalized smoothness. Zbl 0966.46018
Leopold, Hans-Gerd
29
2000
Entropy numbers of embeddings of weighted Besov spaces. Zbl 1100.41015
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
28
2006
On Besov spaces of variable order of differentiation. Zbl 0687.46019
Leopold, H.-G.
24
1989
Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type. Zbl 1144.41006
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
22
2007
On function spaces of variable order of differentiation. Zbl 0737.46020
Leopold, Hans-Gerd
20
1991
On generalized Besov and Triebel-Lizorkin spaces of regular distributions. Zbl 1291.46031
Caetano, António M.; Leopold, Hans-Gerd
13
2013
Spectral invariance for algebras of pseudodifferential operators on Besov-Triebel-Lizorkin spaces. Zbl 0791.35161
Leopold, Hans-Gerd; Schrohe, Elmar
11
1993
Entropy numbers of Sobolev embeddings of radial Besov spaces. Zbl 1047.47016
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
11
2003
Local growth envelopes of Triebel–Lizorkin spaces of generalized smoothness. Zbl 1122.46017
Caetano, António M.; Leopold, Hans-Gerd
10
2006
Interpolation of Besov spaces of variable order of differentiation. Zbl 0686.46018
Leopold, Hans-Gerd
9
1989
Spectral invariance for algebras of pseudodifferential operators on Besov spaces of variable order of differentiation. Zbl 0765.46017
Leopold, Hans-Gerd; Schrohe, Elmar
8
1992
Trace theorems for Sobolev spaces of variable order of differentiation. Zbl 0854.46030
Leopold, Hans-Gerd; Schrohe, Elmar
7
1996
Spectral invariance for pseudodifferential operators on weighted function spaces. Zbl 0810.35173
Leopold, Hans-Gerd; Triebel, Hans
7
1994
Embeddings and entropy numbers for general weighted sequence spaces: The non-limiting case. Zbl 0976.46025
Leopold, Hans-Gerd
7
2000
Boundedness of anisotropic pseudo-differential operators in function spaces of Besov-Hardy-Sobolev type. Zbl 0619.35118
Leopold, H.-G.
6
1986
Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. Zbl 1291.46032
Leopold, Hans-Gerd; Skrzypczak, Leszek
5
2013
Embeddings for general weighted sequence spaces and entropy numbers. Zbl 0964.46011
Leopold, Hans-Gerd
5
2000
Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. II. Zbl 1330.46035
Leopold, Hans-Gerd; Skrzypczak, Leszek
3
2015
Nuclear embeddings in general vector-valued sequence spaces with an application to Sobolev embeddings of function spaces on quasi-bounded domains. Zbl 1493.46055
Haroske, Dorothee D.; Leopold, Hans-Gerd; Skrzypczak, Leszek
3
2022
Entropy numbers of embeddings of some 2-microlocal Besov spaces. Zbl 1219.46033
Leopold, Hans-Gerd; Skrzypczak, Leszek
2
2011
Invariance of the \(L_p\) spectrum for hypoelliptic operators. Zbl 0904.35063
Leopold, Hans-Gerd; Schrohe, Elmar
2
1997
Eine Klasse entarteter elliptischer Differentialoperatoren. I: A priori Abschätzungen. Zbl 0525.35041
Leopold, H. G.
2
1982
On a class of function spaces and related pseudo-differential operators. Zbl 0605.47048
Leopold, H. G.
1
1986
Eine Klasse entarteter elliptischer Differentialoperatoren. II: Lösungstheorie. Zbl 0532.35033
Leopold, H.-G.
1
1983
Nuclear embeddings in general vector-valued sequence spaces with an application to Sobolev embeddings of function spaces on quasi-bounded domains. Zbl 1493.46055
Haroske, Dorothee D.; Leopold, Hans-Gerd; Skrzypczak, Leszek
3
2022
Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. II. Zbl 1330.46035
Leopold, Hans-Gerd; Skrzypczak, Leszek
3
2015
On generalized Besov and Triebel-Lizorkin spaces of regular distributions. Zbl 1291.46031
Caetano, António M.; Leopold, Hans-Gerd
13
2013
Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. Zbl 1291.46032
Leopold, Hans-Gerd; Skrzypczak, Leszek
5
2013
Entropy numbers of embeddings of some 2-microlocal Besov spaces. Zbl 1219.46033
Leopold, Hans-Gerd; Skrzypczak, Leszek
2
2011
Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type. Zbl 1144.41006
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
22
2007
Characterisations of function spaces of generalised smoothness. Zbl 1116.46024
Farkas, Walter; Leopold, Hans-Gerd
80
2006
Entropy numbers of embeddings of weighted Besov spaces. II. Zbl 1103.41027
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
38
2006
Entropy numbers of embeddings of weighted Besov spaces. Zbl 1100.41015
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
28
2006
Local growth envelopes of Triebel–Lizorkin spaces of generalized smoothness. Zbl 1122.46017
Caetano, António M.; Leopold, Hans-Gerd
10
2006
Entropy numbers of Sobolev embeddings of radial Besov spaces. Zbl 1047.47016
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
11
2003
Embeddings and entropy numbers in Besov spaces of generalized smoothness. Zbl 0966.46018
Leopold, Hans-Gerd
29
2000
Embeddings and entropy numbers for general weighted sequence spaces: The non-limiting case. Zbl 0976.46025
Leopold, Hans-Gerd
7
2000
Embeddings for general weighted sequence spaces and entropy numbers. Zbl 0964.46011
Leopold, Hans-Gerd
5
2000
Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration. Zbl 1008.46015
Leopold, Hans-Gerd
46
1999
Invariance of the \(L_p\) spectrum for hypoelliptic operators. Zbl 0904.35063
Leopold, Hans-Gerd; Schrohe, Elmar
2
1997
Trace theorems for Sobolev spaces of variable order of differentiation. Zbl 0854.46030
Leopold, Hans-Gerd; Schrohe, Elmar
7
1996
Spectral invariance for pseudodifferential operators on weighted function spaces. Zbl 0810.35173
Leopold, Hans-Gerd; Triebel, Hans
7
1994
Pseudodifferential operators with variable order of differentiation generating Feller semigroups. Zbl 0793.35139
Jacob, Niels; Leopold, Hans-Gerd
50
1993
Spectral invariance for algebras of pseudodifferential operators on Besov-Triebel-Lizorkin spaces. Zbl 0791.35161
Leopold, Hans-Gerd; Schrohe, Elmar
11
1993
Spectral invariance for algebras of pseudodifferential operators on Besov spaces of variable order of differentiation. Zbl 0765.46017
Leopold, Hans-Gerd; Schrohe, Elmar
8
1992
On function spaces of variable order of differentiation. Zbl 0737.46020
Leopold, Hans-Gerd
20
1991
On Besov spaces of variable order of differentiation. Zbl 0687.46019
Leopold, H.-G.
24
1989
Interpolation of Besov spaces of variable order of differentiation. Zbl 0686.46018
Leopold, Hans-Gerd
9
1989
Boundedness of anisotropic pseudo-differential operators in function spaces of Besov-Hardy-Sobolev type. Zbl 0619.35118
Leopold, H.-G.
6
1986
On a class of function spaces and related pseudo-differential operators. Zbl 0605.47048
Leopold, H. G.
1
1986
Eine Klasse entarteter elliptischer Differentialoperatoren. II: Lösungstheorie. Zbl 0532.35033
Leopold, H.-G.
1
1983
Eine Klasse entarteter elliptischer Differentialoperatoren. I: A priori Abschätzungen. Zbl 0525.35041
Leopold, H. G.
2
1982
all cited Publications top 5 cited Publications
all top 5

Cited by 239 Authors

21 Skrzypczak, Leszek
17 Haroske, Dorothee D.
16 Leopold, Hans-Gerd
15 Anh, Vo V.
11 Caetano, António M.
11 Cobos, Fernando
11 Liu, Fawang
10 Dominguez, Oscar
10 Sickel, Winfried
9 Kühn, Thomas
9 Domingues de Moura, Susana
9 Yuan, Wen
8 Nicolay, Samuel
8 Turner, Ian William
8 Yang, Dachun
7 Los, Valerii M.
7 Ruiz-Medina, María Dolores
6 Almeida, Alexandre
6 Angulo, José Miguel
6 Chen, Changming
6 Drihem, Douadi
6 Kempka, Henning
6 Neves, Júlio Severino
6 Schrohe, Elmar
6 Triebel, Hans
5 Jacob, Niels
5 Tudor, Ciprian A.
4 Abels, Helmut
4 Fang, Gensun
4 Hästö, Peter A.
4 Knopova, Victoria Pavlovna
4 Liu, Junfeng
4 Pfeuffer, Christine
4 Schneider, Cornelia
4 Vybíral, Jan
4 Wu, Suqing
4 Zhang, Binlin
4 Zhang, Shun
3 Dota, Alicja
3 Gonçalves, Helena F.
3 Kreit, Damien
3 Li, Ziwei
3 Liu, Yin
3 Moussai, Madani
3 Opic, Bohumír
3 Schilling, René Leander
3 Wang, Heping
3 Wang, Kai
3 Xiang, Mingqi
3 Zhuo, Ciqiang
2 Băleanu, Dumitru I.
2 Biswas, Reshmi
2 Burrage, Kevin
2 Diening, Lars
2 Dintelmann, Peter Michael
2 Gogatishvili, Amiran
2 Gol’dman, Mikhail L’vovich
2 Gröchenig, Karlheinz
2 Hajipour, Mojtaba
2 Kaßmann, Moritz
2 Khalil, Zeina Mahdi
2 Kryakvin, Vadim Donatovich
2 Kühn, Franziska
2 Lamby, Thomas
2 Liu, Liguang
2 Loosveldt, Laurent
2 Lopes, Sofia O.
2 Martín, Joaquim
2 Mieth, Therese
2 Mikulevicius, Remigijus
2 Murach, Aleksandr A.
2 Netrusov, Yuri
2 Piotrowski, Mariusz
2 Rabinovich, Vladimir Samuilovich
2 Seiler, Jörg
2 Ushakova, Elena Pavlovna
2 Vasil’eva, Anastasiya Andreevna
2 Yang, Di
1 Abdi-Mazraeh, Somayeh
1 Agarwal, Ravi P.
1 Albiac, Fernando
1 Allaoui, Salah Eddine
1 Ansorena, José Luis
1 Apel, Thomas
1 Artamonov, Sergeĭ Yurievich
1 Aubakirov, T. U.
1 Ayache, Antoine
1 Azevedo, Douglas R. M.
1 Bahrouni, Anouar
1 Bahrouni, Sabri
1 Baituyakova, Zhuldyz
1 Bakhtigareeva, Èl’za Gizarovna
1 Barrios Barrera, Begoña
1 Bass, Richard F.
1 Bényi, Árpád
1 Besoy, Blanca F.
1 Betancor Perez, Jorge Juan
1 Bogachev, Vladimir Igorevich
1 Bownik, Marcin
1 Brasseur, Julien
...and 139 more Authors
all top 5

Cited in 113 Serials

19 Journal of Approximation Theory
18 Mathematische Nachrichten
12 Journal of Mathematical Analysis and Applications
10 Journal of Complexity
10 The Journal of Fourier Analysis and Applications
9 Journal of Functional Analysis
9 Zeitschrift für Analysis und ihre Anwendungen
5 Ukrainian Mathematical Journal
5 Applied Mathematics and Computation
5 Proceedings of the Steklov Institute of Mathematics
4 Integral Equations and Operator Theory
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Acta Mathematica Sinica. English Series
4 Banach Journal of Mathematical Analysis
3 Analysis Mathematica
3 Computers & Mathematics with Applications
3 Czechoslovak Mathematical Journal
3 Stochastic Analysis and Applications
3 Constructive Approximation
3 Potential Analysis
3 Revista Matemática Complutense
3 Complex Variables and Elliptic Equations
2 Journal of Mathematical Physics
2 Mathematical Notes
2 Studia Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 Collectanea Mathematica
2 Dissertationes Mathematicae
2 Journal of Computational and Applied Mathematics
2 Manuscripta Mathematica
2 Proceedings of the American Mathematical Society
2 Journal of Theoretical Probability
2 Communications in Partial Differential Equations
2 Stochastic Processes and their Applications
2 Applied and Computational Harmonic Analysis
2 Analysis (München)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Analysis and Applications (Singapore)
2 Acta Mathematica Sinica. Chinese Series
1 Applicable Analysis
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Acta Mathematica Vietnamica
1 Advances in Mathematics
1 Calcolo
1 Commentationes Mathematicae Universitatis Carolinae
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Optimization Theory and Applications
1 Journal of Soviet Mathematics
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Numerical Functional Analysis and Optimization
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Probability and Mathematical Statistics
1 Acta Mathematica Hungarica
1 Annals of Global Analysis and Geometry
1 Applied Numerical Mathematics
1 Probability Theory and Related Fields
1 Publicacions Matemàtiques
1 Journal of Scientific Computing
1 Forum Mathematicum
1 Numerical Algorithms
1 Computational Mathematics and Mathematical Physics
1 Glasnik Matematički. Serija III
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Topological Methods in Nonlinear Analysis
1 Theory of Probability and Mathematical Statistics
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Bulletin des Sciences Mathématiques
1 Bernoulli
1 Izvestiya: Mathematics
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Doklady Mathematics
1 Abstract and Applied Analysis
1 Positivity
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Mathematical Inequalities & Applications
1 Fractional Calculus & Applied Analysis
1 Journal of Mathematical Study
1 Communications in Nonlinear Science and Numerical Simulation
1 Stochastic Environmental Research and Risk Assessment
1 Communications in Contemporary Mathematics
1 Lobachevskii Journal of Mathematics
1 Journal of Evolution Equations
1 Foundations of Computational Mathematics
1 Stochastics and Dynamics
1 Communications on Pure and Applied Analysis
1 Journal of Applied Mathematics and Computing
...and 13 more Serials
all top 5

Cited in 28 Fields

148 Functional analysis (46-XX)
90 Partial differential equations (35-XX)
82 Operator theory (47-XX)
66 Harmonic analysis on Euclidean spaces (42-XX)
36 Probability theory and stochastic processes (60-XX)
26 Approximations and expansions (41-XX)
24 Numerical analysis (65-XX)
22 Real functions (26-XX)
9 Measure and integration (28-XX)
7 Potential theory (31-XX)
4 Integral equations (45-XX)
4 Statistics (62-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Functions of a complex variable (30-XX)
2 Ordinary differential equations (34-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Fluid mechanics (76-XX)
2 Information and communication theory, circuits (94-XX)
1 Combinatorics (05-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year