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Beckner, William

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Author ID: beckner.william Recent zbMATH articles by "Beckner, William"
Published as: Beckner, W.; Beckner, William
External Links: MGP · Wikidata
Documents Indexed: 32 Publications since 1975, including 3 Books

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 992 times in 773 Documents Cited by Year
Inequalities in Fourier analysis. Zbl 0338.42017
Beckner, William
260
1975
Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality. Zbl 0826.58042
Beckner, William
235
1993
A generalized Poincaré inequality for Gaussian measures. Zbl 0677.42020
Beckner, William
64
1989
Pitt’s inequality and the uncertainty principle. Zbl 0842.58077
Beckner, William
62
1995
Pitt’s inequality with sharp convolution estimates. Zbl 1221.42016
Beckner, William
45
2008
On the Grushin operator and hyperbolic symmetry. Zbl 0987.47037
Beckner, William
42
2001
Sobolev inequalities, the Poisson semigroup, and analysis on the sphere \(S^ n\). Zbl 0766.46012
Beckner, William
42
1992
Geometric asymptotics and the logarithmic Sobolev inequality. Zbl 0917.58049
Beckner, William
34
1999
Geometric inequalities in Fourier analysis. Zbl 0888.42006
Beckner, William
23
1995
Weighted inequalities and Stein-Weiss potentials. Zbl 1149.42006
Beckner, William
22
2008
On sharp Sobolev embedding and the logarithmic Sobolev inequality. Zbl 0921.58072
Beckner, William; Pearson, Michael
17
1998
Sharp inequalities and geometric manifolds. Zbl 0895.58059
Beckner, William
17
1997
Pitt’s inequality and the fractional Laplacian: Sharp error estimates. Zbl 1244.42005
Beckner, William
15
2012
Estimates on Moser embedding. Zbl 1039.58032
Beckner, William
13
2004
Geometric proof of Nash’s inequality. Zbl 0895.35015
Beckner, William
13
1998
Inequalities in Fourier analysis on \(R^n\). Zbl 0303.42020
Beckner, William
12
1975
Functionals for multilinear fractional embedding. Zbl 1345.46027
Beckner, William
11
2015
Logarithmic Sobolev inequalities and the existence of singular integrals. Zbl 0945.42006
Beckner, William
10
1997
Multilinear embedding estimates for the fractional Laplacian. Zbl 1291.35426
Beckner, William
9
2012
A note on restriction of the Fourier transform to spheres. Zbl 0681.42006
Beckner, W.; Carbery, A.; Semmes, S.; Soria, F.
8
1989
Asymptotic estimates using probability. Zbl 0916.05003
Beckner, William; Regev, Amitai
6
1998
Multilinear embedding and Hardy’s inequality. Zbl 1345.42027
Beckner, William
5
2016
Embedding estimates and fractional smoothness. Zbl 1316.46032
Beckner, William
5
2014
Multilinear embedding – convolution estimates on smooth submanifolds. Zbl 1297.35011
Beckner, William
5
2014
Asymptotics and algebraicity of some generating functions. Zbl 0651.05008
Beckner, William; Regev, Amitai
5
1987
On Lie groups and hyperbolic symmetry – from Kunze-Stein phenomena to Riesz potentials. Zbl 1344.22002
Beckner, William
4
2015
Asymptotic estimates for Gagliardo-Nirenberg embedding constants. Zbl 1007.58021
Beckner, William
3
2002
Moser-Trudinger inequality in higher dimensions. Zbl 0756.58013
Beckner, William
3
1991
Harmonic analysis at Mount Holyoke. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 25–July 5, 2001. Zbl 1013.00026
Beckner, William (ed.); Nagel, Alexander (ed.); Seeger, Andreas (ed.); Smith, Hart F. (ed.)
1
2003
Coefficients in some Young derived sequences. Zbl 0864.05086
Beckner, William; Regev, Amitai
1
1996
Multilinear embedding and Hardy’s inequality. Zbl 1345.42027
Beckner, William
5
2016
Functionals for multilinear fractional embedding. Zbl 1345.46027
Beckner, William
11
2015
On Lie groups and hyperbolic symmetry – from Kunze-Stein phenomena to Riesz potentials. Zbl 1344.22002
Beckner, William
4
2015
Embedding estimates and fractional smoothness. Zbl 1316.46032
Beckner, William
5
2014
Multilinear embedding – convolution estimates on smooth submanifolds. Zbl 1297.35011
Beckner, William
5
2014
Pitt’s inequality and the fractional Laplacian: Sharp error estimates. Zbl 1244.42005
Beckner, William
15
2012
Multilinear embedding estimates for the fractional Laplacian. Zbl 1291.35426
Beckner, William
9
2012
Pitt’s inequality with sharp convolution estimates. Zbl 1221.42016
Beckner, William
45
2008
Weighted inequalities and Stein-Weiss potentials. Zbl 1149.42006
Beckner, William
22
2008
Estimates on Moser embedding. Zbl 1039.58032
Beckner, William
13
2004
Harmonic analysis at Mount Holyoke. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 25–July 5, 2001. Zbl 1013.00026
Beckner, William (ed.); Nagel, Alexander (ed.); Seeger, Andreas (ed.); Smith, Hart F. (ed.)
1
2003
Asymptotic estimates for Gagliardo-Nirenberg embedding constants. Zbl 1007.58021
Beckner, William
3
2002
On the Grushin operator and hyperbolic symmetry. Zbl 0987.47037
Beckner, William
42
2001
Geometric asymptotics and the logarithmic Sobolev inequality. Zbl 0917.58049
Beckner, William
34
1999
On sharp Sobolev embedding and the logarithmic Sobolev inequality. Zbl 0921.58072
Beckner, William; Pearson, Michael
17
1998
Geometric proof of Nash’s inequality. Zbl 0895.35015
Beckner, William
13
1998
Asymptotic estimates using probability. Zbl 0916.05003
Beckner, William; Regev, Amitai
6
1998
Sharp inequalities and geometric manifolds. Zbl 0895.58059
Beckner, William
17
1997
Logarithmic Sobolev inequalities and the existence of singular integrals. Zbl 0945.42006
Beckner, William
10
1997
Coefficients in some Young derived sequences. Zbl 0864.05086
Beckner, William; Regev, Amitai
1
1996
Pitt’s inequality and the uncertainty principle. Zbl 0842.58077
Beckner, William
62
1995
Geometric inequalities in Fourier analysis. Zbl 0888.42006
Beckner, William
23
1995
Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality. Zbl 0826.58042
Beckner, William
235
1993
Sobolev inequalities, the Poisson semigroup, and analysis on the sphere \(S^ n\). Zbl 0766.46012
Beckner, William
42
1992
Moser-Trudinger inequality in higher dimensions. Zbl 0756.58013
Beckner, William
3
1991
A generalized Poincaré inequality for Gaussian measures. Zbl 0677.42020
Beckner, William
64
1989
A note on restriction of the Fourier transform to spheres. Zbl 0681.42006
Beckner, W.; Carbery, A.; Semmes, S.; Soria, F.
8
1989
Asymptotics and algebraicity of some generating functions. Zbl 0651.05008
Beckner, William; Regev, Amitai
5
1987
Inequalities in Fourier analysis. Zbl 0338.42017
Beckner, William
260
1975
Inequalities in Fourier analysis on \(R^n\). Zbl 0303.42020
Beckner, William
12
1975
all top 5

Cited by 993 Authors

26 Lu, Guozhen
24 Dolbeault, Jean
12 Lam, Nguyen
11 Loss, Michael
11 Nguyễn Văn Hoàng
10 Esteban, Maria J.
9 Lieb, Elliott H.
9 Mossel, Elchanan
9 Yang, Qiaohua
8 Beckner, William
8 Carlen, Eric Anders
8 Frank, Rupert L.
8 Xiong, Jingang
7 Bez, Neal
7 Branson, Thomas Patrick
7 Carrillo de la Plata, José Antonio
7 Ceccon, Jurandir
7 Chen, Lu
7 Kalai, Gil
7 Keller, Nathan
7 Montenegro, Marcos
7 Tikhonov, Sergey Yur’evich
7 Wu, Jinsong
7 Xiao, Jie
6 Barthe, Franck
6 Chang, Sun-Yung Alice
6 Dehesa, Jesús S.
6 Gentil, Ivan
6 Ivanisvili, Paata
6 Ledoux, Michel
6 Liu, Zhengwei
5 Case, Jeffrey S.
5 Cotsiolis, Athanase
5 Friedgut, Ehud
5 Hebey, Emmanuel
5 Jin, Tianling
5 Milman, Mario Marcos
5 Monti, Roberto
5 Oleszkiewicz, Krzysztof
5 Ozawa, Tohru
5 Regev, Amitai
5 Shah, Firdous Ahmad
5 Tang, Hanli
5 Tantary, Azhar Y.
5 Tao, Chunxia
5 Volberg, Alexander Lvovich
5 Xu, Xingwang
5 Yan, Dunyan
4 Bennett, Jonathan M.
4 Bentaleb, Abdellatif
4 Blanchet, Adrien
4 Chen, Xuwen
4 Cianchi, Andrea
4 Ciaurri, Óscar
4 Del Pino, Manuel A.
4 Dou, Jingbo
4 Gorbachëv, Dmitriĭ Viktorovich
4 Guo, Qianqiao
4 Holmer, Justin
4 Kindler, Guy
4 Labropoulos, Nikos
4 Li, YanYan
4 Morbidelli, Daniele
4 Morpurgo, Carlo
4 Nasibov, Sharif M.
4 O’Donnell, Ryan
4 Oliveira e Silva, Diogo
4 Parcet, Javier
4 Peral Alonso, Ireneo
4 Rastëgin, Alekseĭ Èduardovich
4 Roberto, Cyril
4 Sandeep, Kunnath
4 Sohinger, Vedran
4 Stan, Aurel Iulian
4 Weissler, Fred B.
4 Zhu, Meijun
3 Abdellaoui, Boumediene
3 Baklouti, Ali
3 Ball, Keith Martin
3 Bednorz, Witold Marek
3 Berele, Allan
3 Bobkov, Sergey Germanovich
3 Burchard, Almut
3 Calvez, Vincent
3 Carrapatoso, Kleber
3 Cowling, Michael G.
3 Fahlaoui, Said
3 Ghoussoub, Nassif A.
3 Guo, Yuxia
3 Haddad, Julián
3 Hajaiej, Hichem
3 Ho, Pak Tung
3 Janson, Svante
3 Jeavons, Chris
3 Jiang, Chunlan
3 Jiménez, Carlos Hugo
3 Kowalczyk, Michał
3 Lian, Pan
3 Machihara, Shuji
3 Martín, Joaquim
...and 893 more Authors
all top 5

Cited in 195 Serials

69 Journal of Functional Analysis
32 Journal of Mathematical Physics
27 Advances in Mathematics
26 Journal of Mathematical Analysis and Applications
23 Proceedings of the American Mathematical Society
22 Calculus of Variations and Partial Differential Equations
19 Transactions of the American Mathematical Society
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 The Journal of Geometric Analysis
16 Israel Journal of Mathematics
16 Duke Mathematical Journal
15 Mathematische Annalen
13 Journal of Differential Equations
13 The Journal of Fourier Analysis and Applications
12 Communications in Mathematical Physics
10 Journal of the European Mathematical Society (JEMS)
9 Archive for Rational Mechanics and Analysis
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Communications in Contemporary Mathematics
9 Science China. Mathematics
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Potential Analysis
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Probability Theory and Related Fields
7 Revista Matemática Iberoamericana
7 Geometric and Functional Analysis. GAFA
7 Communications in Partial Differential Equations
7 Discrete and Continuous Dynamical Systems
7 Acta Mathematica Sinica. English Series
6 Bulletin des Sciences Mathématiques
6 Integral Transforms and Special Functions
6 Advanced Nonlinear Studies
6 Communications on Pure and Applied Analysis
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 The Annals of Probability
5 Journal of Mathematical Sciences (New York)
4 Journal d’Analyse Mathématique
4 Inventiones Mathematicae
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Zeitschrift
4 Chinese Annals of Mathematics. Series B
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Bulletin of the American Mathematical Society. New Series
4 Combinatorics, Probability and Computing
4 Journal of Inequalities and Applications
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 New Journal of Physics
3 Applicable Analysis
3 Communications on Pure and Applied Mathematics
3 Arkiv för Matematik
3 Journal of Geometry and Physics
3 Archiv der Mathematik
3 Mathematische Nachrichten
3 Mathematika
3 Pacific Journal of Mathematics
3 Theoretical Computer Science
3 SIAM Journal on Mathematical Analysis
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Applied and Computational Harmonic Analysis
3 Annals of Mathematics. Second Series
3 Annales Henri Poincaré
3 Quantum Information Processing
3 Foundations of Physics
3 Analysis & PDE
3 Annalen der Physik
3 Séminaire Laurent Schwartz. EDP et Applications
2 Bulletin of the Australian Mathematical Society
2 Discrete Mathematics
2 International Journal of Theoretical Physics
2 Journal of Statistical Physics
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Russian Mathematical Surveys
2 Indiana University Mathematics Journal
2 Publications Mathématiques
2 Journal of Algebra
2 Journal of Combinatorial Theory. Series A
2 Journal of the London Mathematical Society. Second Series
2 Memoirs of the American Mathematical Society
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Results in Mathematics
2 SIAM Journal on Computing
2 Advances in Applied Mathematics
2 Annals of Global Analysis and Geometry
2 Journal of Theoretical Probability
2 Applied Mathematics Letters
2 Forum Mathematicum
2 International Journal of Mathematics
2 Signal Processing
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 St. Petersburg Mathematical Journal
2 NoDEA. Nonlinear Differential Equations and Applications
2 Doklady Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Positivity
2 Milan Journal of Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Complex Analysis and Operator Theory
...and 95 more Serials
all top 5

Cited in 56 Fields

254 Partial differential equations (35-XX)
181 Functional analysis (46-XX)
153 Real functions (26-XX)
116 Harmonic analysis on Euclidean spaces (42-XX)
104 Global analysis, analysis on manifolds (58-XX)
96 Probability theory and stochastic processes (60-XX)
83 Differential geometry (53-XX)
82 Operator theory (47-XX)
77 Quantum theory (81-XX)
70 Information and communication theory, circuits (94-XX)
42 Abstract harmonic analysis (43-XX)
31 Statistical mechanics, structure of matter (82-XX)
29 Integral transforms, operational calculus (44-XX)
26 Special functions (33-XX)
24 Convex and discrete geometry (52-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
21 Combinatorics (05-XX)
21 Topological groups, Lie groups (22-XX)
21 Measure and integration (28-XX)
19 Integral equations (45-XX)
16 Functions of a complex variable (30-XX)
16 Biology and other natural sciences (92-XX)
15 Computer science (68-XX)
14 Potential theory (31-XX)
12 Difference and functional equations (39-XX)
11 Approximations and expansions (41-XX)
9 Number theory (11-XX)
9 Associative rings and algebras (16-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Fluid mechanics (76-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Numerical analysis (65-XX)
7 Statistics (62-XX)
7 Relativity and gravitational theory (83-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Group theory and generalizations (20-XX)
6 Ordinary differential equations (34-XX)
6 Geometry (51-XX)
5 Optics, electromagnetic theory (78-XX)
4 Nonassociative rings and algebras (17-XX)
4 General topology (54-XX)
4 Manifolds and cell complexes (57-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Algebraic geometry (14-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Category theory; homological algebra (18-XX)
2 Operations research, mathematical programming (90-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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