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Gundy, Richard F.

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Author ID: gundy.richard-f Recent zbMATH articles by "Gundy, Richard F."
Published as: Gundy, R.; Gundy, R. F.; Gundy, Richard; Gundy, Richard F.
Documents Indexed: 43 Publications since 1965, including 2 Books

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 630 times in 505 Documents Cited by Year
Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60021
Burkholder, D. L.; Gundy, R. F.
137
1970
\(H^p\) theory for the poly-disc. Zbl 0405.32002
Gundy, R. F.; Stein, Elias M.
74
1979
A maximal function characterization of the class \(H^{\mathfrak p}\). Zbl 0223.30048
Burkholder, D. L.; Gundy, R. F.; Silverstein, M. L.
65
1971
Integral inequalities for convex functions of operators on martingales. Zbl 0253.60056
Burkholder, D. L.; Davis, B. J.; Gundy, R. F.
61
1972
Distribution function inequalities for the area integral. Zbl 0219.31009
Burkholder, D. L.; Gundy, R. F.
35
1972
Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0271.28002
Gundy, R. F.; Wheeden, R. L.
30
1974
Martingale theory and pointwise convergence of certain orthogonal series. Zbl 0158.35801
Gundy, R. F.
29
1966
Les transformations de Riesz et les intégrales stochastiques. Zbl 0413.60003
Gundy, Richard F.; Varopoulos, Nicolas Th.
28
1979
Sur les transformations de Riesz pour le semi-groupe d’Ornstein- Uhlenbeck. (Riesz’s transformation on the Ornstein-Uhlenbeck process). Zbl 0606.60063
Gundy, Richard F.
27
1986
A decomposition for L-bounded martingales. Zbl 0185.45102
Gundy, R. F.
16
1968
On the class L log L, martingales, and singular integrals. Zbl 0181.44202
Gundy, R. F.
13
1969
Some topics in probability and analysis. Zbl 0673.60050
Gundy, Richard F.
11
1989
Low-pass filters, martingales, and multiresolution analyses. Zbl 0980.42033
Gundy, Richard F.
10
2000
The density of the area integral in \({\mathbb{R}}_+^{n+1}\). Zbl 0544.31012
Gundy, R. F.; Silverstein, M. L.
10
1985
Sur l’intégrabilite uniforme des martingales continues. Zbl 0442.60046
Azema, J.; Gundy, R. F.; Yor, M.
9
1980
On a probabilistic interpretation for the Riesz transforms. Zbl 0495.60053
Gundy, Richard F.; Silverstein, Martin L.
8
1982
Weighted norm inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0245.28003
Gundy, R. F.; Wheeden, R. L.
7
1973
Characterizations of orthonormal scale functions: A probabilistic approach. Zbl 0986.42021
Dobrić, V.; Gundy, R.; Hitczenko, P.
6
2000
Inequalities for ratios of functionals of harmonic functions. Zbl 0512.31008
Fefferman, Ronald Raphaël; Gundy, R.; Silverstein, M.; Stein, Elias M.
6
1982
On a theorem of F. and M. Riesz and an equation of A. Wald. Zbl 0466.31006
Gundy, Richard F.
6
1981
Inégalités pour martingales à un et deux indices: L’espace \(H^p\). Zbl 0427.60046
Gundy, R. F.
5
1980
Ecole d’ete de probabilités de Saint-Flour VIII-1978. Edite par P. L. Hennequin. Zbl 0417.60001
Azencott, R.; Guivarc’h, Yves; Gundy, R. F.
5
1980
Boundary behavior of harmonic functions in a half-space and Brownian motion. Zbl 0253.31010
Burkholder, D. L.; Gundy, Richard F.
5
1973
Two remarks concerning wavelets: Cohen’s criterion for low-pass filters and Meyer’s theorem on linear independence. Zbl 0974.42024
Gundy, Richard F.
4
1999
A martingale that occurs in harmonic analysis. Zbl 0371.60058
Gundy, R. F.; Varopoulos, N. Th.
4
1976
On a stopping rule and the central limit theorem. Zbl 0155.25401
Gundy, R. F.; Siegmund, D.
4
1967
The martingale version of a theorem of Marcinkiewicz and Zygmund. Zbl 0153.20901
Gundy, R. F.
4
1967
Scaling functions on \(\mathbb R^2\) for dilations of determinant \(\pm 2\). Zbl 1233.94005
Gundy, Richard F.; Jonsson, Adam L.
3
2010
Tilings, scaling functions, and a Markov process. Zbl 1208.60076
Gundy, Richard F.
2
2010
Stopping times and local convergence for spline wavelet expansions. Zbl 0965.42025
Gundy, Richard F.; Kazarian, Kazaros
2
2000
Stability properties for a compactly supported prescale function. Zbl 0971.42025
Dobric, V.; Gundy, R. F.; Hitczenko, P.
1
2000
On a theorem of Kabanov, Liptser and Shiryaev. Zbl 0504.60049
Eagleson, G. K.; Gundy, R. F.
1
1983
On a class of martingale series. Zbl 0164.47202
Gundy, R. F.
1
1968
Complete systems in \(I_2\) and a theorem of Renyi. Zbl 0178.52402
Gundy, R. F.
1
1965
Scaling functions on \(\mathbb R^2\) for dilations of determinant \(\pm 2\). Zbl 1233.94005
Gundy, Richard F.; Jonsson, Adam L.
3
2010
Tilings, scaling functions, and a Markov process. Zbl 1208.60076
Gundy, Richard F.
2
2010
Low-pass filters, martingales, and multiresolution analyses. Zbl 0980.42033
Gundy, Richard F.
10
2000
Characterizations of orthonormal scale functions: A probabilistic approach. Zbl 0986.42021
Dobrić, V.; Gundy, R.; Hitczenko, P.
6
2000
Stopping times and local convergence for spline wavelet expansions. Zbl 0965.42025
Gundy, Richard F.; Kazarian, Kazaros
2
2000
Stability properties for a compactly supported prescale function. Zbl 0971.42025
Dobric, V.; Gundy, R. F.; Hitczenko, P.
1
2000
Two remarks concerning wavelets: Cohen’s criterion for low-pass filters and Meyer’s theorem on linear independence. Zbl 0974.42024
Gundy, Richard F.
4
1999
Some topics in probability and analysis. Zbl 0673.60050
Gundy, Richard F.
11
1989
Sur les transformations de Riesz pour le semi-groupe d’Ornstein- Uhlenbeck. (Riesz’s transformation on the Ornstein-Uhlenbeck process). Zbl 0606.60063
Gundy, Richard F.
27
1986
The density of the area integral in \({\mathbb{R}}_+^{n+1}\). Zbl 0544.31012
Gundy, R. F.; Silverstein, M. L.
10
1985
On a theorem of Kabanov, Liptser and Shiryaev. Zbl 0504.60049
Eagleson, G. K.; Gundy, R. F.
1
1983
On a probabilistic interpretation for the Riesz transforms. Zbl 0495.60053
Gundy, Richard F.; Silverstein, Martin L.
8
1982
Inequalities for ratios of functionals of harmonic functions. Zbl 0512.31008
Fefferman, Ronald Raphaël; Gundy, R.; Silverstein, M.; Stein, Elias M.
6
1982
On a theorem of F. and M. Riesz and an equation of A. Wald. Zbl 0466.31006
Gundy, Richard F.
6
1981
Sur l’intégrabilite uniforme des martingales continues. Zbl 0442.60046
Azema, J.; Gundy, R. F.; Yor, M.
9
1980
Inégalités pour martingales à un et deux indices: L’espace \(H^p\). Zbl 0427.60046
Gundy, R. F.
5
1980
Ecole d’ete de probabilités de Saint-Flour VIII-1978. Edite par P. L. Hennequin. Zbl 0417.60001
Azencott, R.; Guivarc’h, Yves; Gundy, R. F.
5
1980
\(H^p\) theory for the poly-disc. Zbl 0405.32002
Gundy, R. F.; Stein, Elias M.
74
1979
Les transformations de Riesz et les intégrales stochastiques. Zbl 0413.60003
Gundy, Richard F.; Varopoulos, Nicolas Th.
28
1979
A martingale that occurs in harmonic analysis. Zbl 0371.60058
Gundy, R. F.; Varopoulos, N. Th.
4
1976
Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0271.28002
Gundy, R. F.; Wheeden, R. L.
30
1974
Weighted norm inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0245.28003
Gundy, R. F.; Wheeden, R. L.
7
1973
Boundary behavior of harmonic functions in a half-space and Brownian motion. Zbl 0253.31010
Burkholder, D. L.; Gundy, Richard F.
5
1973
Integral inequalities for convex functions of operators on martingales. Zbl 0253.60056
Burkholder, D. L.; Davis, B. J.; Gundy, R. F.
61
1972
Distribution function inequalities for the area integral. Zbl 0219.31009
Burkholder, D. L.; Gundy, R. F.
35
1972
A maximal function characterization of the class \(H^{\mathfrak p}\). Zbl 0223.30048
Burkholder, D. L.; Gundy, R. F.; Silverstein, M. L.
65
1971
Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60021
Burkholder, D. L.; Gundy, R. F.
137
1970
On the class L log L, martingales, and singular integrals. Zbl 0181.44202
Gundy, R. F.
13
1969
A decomposition for L-bounded martingales. Zbl 0185.45102
Gundy, R. F.
16
1968
On a class of martingale series. Zbl 0164.47202
Gundy, R. F.
1
1968
On a stopping rule and the central limit theorem. Zbl 0155.25401
Gundy, R. F.; Siegmund, D.
4
1967
The martingale version of a theorem of Marcinkiewicz and Zygmund. Zbl 0153.20901
Gundy, R. F.
4
1967
Martingale theory and pointwise convergence of certain orthogonal series. Zbl 0158.35801
Gundy, R. F.
29
1966
Complete systems in \(I_2\) and a theorem of Renyi. Zbl 0178.52402
Gundy, R. F.
1
1965
all top 5

Cited by 550 Authors

13 Bañuelos, Rodrigo
13 Lu, Guozhen
12 Li, Ji
12 Weisz, Ferenc
11 Osękowski, Adam
10 Jiao, Yong
9 Han, Yongsheng
8 Ding, Wei
8 Gundy, Richard F.
8 Lee, Ming-Yi
8 Tan, Chaoqiang
7 Khoshnevisan, Davar
7 Martell, José María (Chema)
7 Wu, Lian
7 Yang, Dachun
6 Duong, Xuan Thinh
6 Gevorkyan, Gegham G.
6 Lin, Chincheng
6 Mauceri, Giancarlo
6 Wheeden, Richard Lee
5 Burkholder, Donald L.
5 Chevalier, Lucien
5 Conus, Daniel
5 Davis, Burgess
5 Domelevo, Komla
5 Dutkay, Dorin Ervin
5 Dziubański, Jacek
5 Junge, Marius
5 Kenig, Carlos Eduardo
5 Meda, Stefano
5 Petermichl, Stefanie
5 Pipher, Jill Catherine
5 Sjogren, Peter
5 Song, Liang
5 Torchinsky, Alberto
5 Varopoulos, Nicholas Theodore
5 Xu, Quanhua
5 Zhu, Yueping
4 Chen, Jiao
4 Chen, Jiecheng
4 Fefferman, Robert A.
4 Jørgensen, Palle E. T.
4 Joseph, Mathew
4 Li, Baode
4 Liu, Suying
4 Randrianantoanina, Narcisse
4 Scotto, Roberto
4 Stein, Elias Menachem
4 Wang, Hua
4 Ward, Lesley A.
3 Arcozzi, Nicola
3 Bownik, Marcin
3 Chanillo, Sagun
3 de la Peña, Victor H.
3 Ding, Yong
3 Fefferman, Charles Louis
3 Forzani, Liliana
3 Gushchin, Anatoliĭ Konstantinovich
3 He, Shaoyong
3 Hitczenko, Paweł
3 Imkeller, Peter
3 Jiménez-del-Toro, Ana
3 Kovač, Vjekoslav
3 Li, Xiang-Dong
3 Li, Zhengyang
3 Matsuoka, Cho-ichiro
3 McConnell, Terry R.
3 Mogyorodi, Jozsef
3 Moore, Charles Nelson
3 Navasardyan, Karen Arshaluĭsovich
3 Pacchiarotti, Barbara
3 Parcet, Javier
3 Pérez, Carlos E.
3 Picardello, Massimo Angelo
3 Ruan, Zhuoping
3 Shiu, Shang-Yuan
3 Sukochev, Fedor Anatol’evich
3 Volberg, Alexander Lvovich
3 Yan, Lixin
3 Yor, Marc
2 Bates, Erik
2 Baudoin, Fabrice
2 Bekjan, Turdebek N.
2 Betancor Perez, Jorge Juan
2 Bichteler, Klaus
2 Bismut, Jean-Michel
2 Blasco, Oscar
2 Brevig, Ole Fredrik
2 Brossard, Jean
2 Brown, Mark
2 Bui, The Anh
2 Calderon, Alberto Pedro
2 Catuogno, Pedro José
2 Chao, Jia-Arng
2 Chen, Peng
2 Chen, Zeqian
2 Cho, Hong Rae
2 Choe, Boo Rim
2 Cruz-Uribe, David Vincente
2 Dahlberg, Bjorn E. J.
...and 450 more Authors
all top 5

Cited in 136 Serials

35 Journal of Functional Analysis
29 Transactions of the American Mathematical Society
21 Proceedings of the American Mathematical Society
18 Journal of Mathematical Analysis and Applications
14 Potential Analysis
13 Advances in Mathematics
13 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
13 Stochastic Processes and their Applications
13 The Journal of Fourier Analysis and Applications
12 Analysis Mathematica
10 Arkiv för Matematik
10 Probability Theory and Related Fields
9 Mathematical Notes
9 Annales de l’Institut Fourier
9 Statistics & Probability Letters
8 Israel Journal of Mathematics
8 Duke Mathematical Journal
8 Tohoku Mathematical Journal. Second Series
8 The Journal of Geometric Analysis
7 The Annals of Probability
7 Mathematische Annalen
6 Mathematische Zeitschrift
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Revista Matemática Iberoamericana
6 Acta Mathematica Sinica. English Series
5 Journal of Approximation Theory
5 Journal of Soviet Mathematics
5 Journal of Theoretical Probability
5 Forum Mathematicum
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Applied and Computational Harmonic Analysis
5 Science China. Mathematics
4 Rocky Mountain Journal of Mathematics
4 Acta Mathematica
4 Archiv der Mathematik
4 Illinois Journal of Mathematics
4 Acta Mathematica Hungarica
4 Bulletin of the American Mathematical Society. New Series
4 Bulletin of the American Mathematical Society
3 Stochastics
3 Integral Equations and Operator Theory
3 The Annals of Applied Probability
3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Applied Mathematics. Series B (English Edition)
3 Electronic Journal of Probability
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Annals of Mathematics. Second Series
3 Journal of Function Spaces and Applications
3 Frontiers of Mathematics in China
2 Journal d’Analyse Mathématique
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Periodica Mathematica Hungarica
2 Studia Mathematica
2 Ukrainian Mathematical Journal
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Constructive Approximation
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Linear Algebra and its Applications
2 Bernoulli
2 Sbornik: Mathematics
2 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 Revista Matemática Complutense
2 Banach Journal of Mathematical Analysis
2 Journal of Function Spaces
2 Modern Stochastics. Theory and Applications
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Applicable Analysis
1 The Canadian Journal of Statistics
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematics of Computation
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Czechoslovak Mathematical Journal
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Semigroup Forum
1 SIAM Journal on Control and Optimization
1 Siberian Mathematical Journal
1 Advances in Applied Mathematics
1 Sequential Analysis
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 Communications in Partial Differential Equations
1 Expositiones Mathematicae
1 SIAM Journal on Optimization
...and 36 more Serials
all top 5

Cited in 37 Fields

253 Harmonic analysis on Euclidean spaces (42-XX)
231 Probability theory and stochastic processes (60-XX)
116 Functional analysis (46-XX)
53 Operator theory (47-XX)
36 Partial differential equations (35-XX)
30 Functions of a complex variable (30-XX)
30 Potential theory (31-XX)
16 Several complex variables and analytic spaces (32-XX)
14 Abstract harmonic analysis (43-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Measure and integration (28-XX)
11 Approximations and expansions (41-XX)
11 Integral transforms, operational calculus (44-XX)
7 Real functions (26-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Statistics (62-XX)
7 Numerical analysis (65-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Sequences, series, summability (40-XX)
4 Topological groups, Lie groups (22-XX)
4 Differential geometry (53-XX)
4 Systems theory; control (93-XX)
4 Information and communication theory, circuits (94-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Special functions (33-XX)
3 Operations research, mathematical programming (90-XX)
2 History and biography (01-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Geophysics (86-XX)

Citations by Year