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Author ID: gundy.richard-f Recent zbMATH articles by "Gundy, Richard F."
Published as: Gundy, R. F.; Gundy, Richard F.; Gundy, Richard; Gundy, R.
Documents Indexed: 43 Publications since 1965, including 2 Books
Co-Authors: 19 Co-Authors with 25 Joint Publications
674 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 794 times in 642 Documents Cited by Year
Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60021
Burkholder, D. L.; Gundy, R. F.
161
1970
\(H^p\) theory for the poly-disc. Zbl 0405.32002
Gundy, R. F.; Stein, Elias M.
101
1979
Integral inequalities for convex functions of operators on martingales. Zbl 0253.60056
Burkholder, D. L.; Davis, B. J.; Gundy, R. F.
95
1972
A maximal function characterization of the class \(H^{\mathfrak p}\). Zbl 0223.30048
Burkholder, D. L.; Gundy, R. F.; Silverstein, M. L.
74
1971
Distribution function inequalities for the area integral. Zbl 0219.31009
Burkholder, D. L.; Gundy, R. F.
39
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.
38
1974
Les transformations de Riesz et les intégrales stochastiques. Zbl 0413.60003
Gundy, Richard F.; Varopoulos, Nicolas Th.
33
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.
31
1986
Martingale theory and pointwise convergence of certain orthogonal series. Zbl 0158.35801
Gundy, R. F.
31
1966
A decomposition for L-bounded martingales. Zbl 0185.45102
Gundy, R. F.
22
1968
On the class L log L, martingales, and singular integrals. Zbl 0181.44202
Gundy, R. F.
16
1969
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.
16
1980
Sur l’intégrabilite uniforme des martingales continues. Zbl 0442.60046
Azema, J.; Gundy, R. F.; Yor, M.
15
1980
Some topics in probability and analysis. Zbl 0673.60050
Gundy, Richard F.
14
1989
Low-pass filters, martingales, and multiresolution analyses. Zbl 0980.42033
Gundy, Richard F.
12
2000
The density of the area integral in \({\mathbb{R}}_+^{n+1}\). Zbl 0544.31012
Gundy, R. F.; Silverstein, M. L.
11
1985
Inégalités pour martingales à un et deux indices: L’espace \(H^p\). Zbl 0427.60046
Gundy, R. F.
10
1980
On a probabilistic interpretation for the Riesz transforms. Zbl 0495.60053
Gundy, Richard F.; Silverstein, Martin L.
9
1982
Characterizations of orthonormal scale functions: A probabilistic approach. Zbl 0986.42021
Dobrić, V.; Gundy, R.; Hitczenko, P.
7
2000
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
Inequalities for ratios of functionals of harmonic functions. Zbl 0512.31008
Fefferman, Ronald Raphaël; Gundy, R.; Silverstein, M.; Stein, Elias M.
6
1982
A martingale that occurs in harmonic analysis. Zbl 0371.60058
Gundy, R. F.; Varopoulos, N. Th.
6
1976
On a theorem of F. and M. Riesz and an equation of A. Wald. Zbl 0466.31006
Gundy, Richard F.
6
1981
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
The martingale version of a theorem of Marcinkiewicz and Zygmund. Zbl 0153.20901
Gundy, R. F.
4
1967
On a stopping rule and the central limit theorem. Zbl 0155.25401
Gundy, R. F.; Siegmund, D.
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.
3
2010
Maximal function characterization of \(H^p\) for the bidisc. Zbl 0427.32005
Gundy, R. F.
3
1980
Stopping times and local convergence for spline wavelet expansions. Zbl 0965.42025
Gundy, Richard F.; Kazarian, Kazaros
2
2000
Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60022
Burkholder, D. L.; Gundy, R. F.
2
1971
On a theorem of Kabanov, Liptser and Shiryaev. Zbl 0504.60049
Eagleson, G. K.; Gundy, R. F.
1
1983
Stability properties for a compactly supported prescale function. Zbl 0971.42025
Dobric, V.; Gundy, R. F.; Hitczenko, P.
1
2000
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.
3
2010
Low-pass filters, martingales, and multiresolution analyses. Zbl 0980.42033
Gundy, Richard F.
12
2000
Characterizations of orthonormal scale functions: A probabilistic approach. Zbl 0986.42021
Dobrić, V.; Gundy, R.; Hitczenko, P.
7
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.
14
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.
31
1986
The density of the area integral in \({\mathbb{R}}_+^{n+1}\). Zbl 0544.31012
Gundy, R. F.; Silverstein, M. L.
11
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.
9
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
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.
16
1980
Sur l’intégrabilite uniforme des martingales continues. Zbl 0442.60046
Azema, J.; Gundy, R. F.; Yor, M.
15
1980
Inégalités pour martingales à un et deux indices: L’espace \(H^p\). Zbl 0427.60046
Gundy, R. F.
10
1980
Maximal function characterization of \(H^p\) for the bidisc. Zbl 0427.32005
Gundy, R. F.
3
1980
\(H^p\) theory for the poly-disc. Zbl 0405.32002
Gundy, R. F.; Stein, Elias M.
101
1979
Les transformations de Riesz et les intégrales stochastiques. Zbl 0413.60003
Gundy, Richard F.; Varopoulos, Nicolas Th.
33
1979
A martingale that occurs in harmonic analysis. Zbl 0371.60058
Gundy, R. F.; Varopoulos, N. Th.
6
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.
38
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.
95
1972
Distribution function inequalities for the area integral. Zbl 0219.31009
Burkholder, D. L.; Gundy, R. F.
39
1972
A maximal function characterization of the class \(H^{\mathfrak p}\). Zbl 0223.30048
Burkholder, D. L.; Gundy, R. F.; Silverstein, M. L.
74
1971
Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60022
Burkholder, D. L.; Gundy, R. F.
2
1971
Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60021
Burkholder, D. L.; Gundy, R. F.
161
1970
On the class L log L, martingales, and singular integrals. Zbl 0181.44202
Gundy, R. F.
16
1969
A decomposition for L-bounded martingales. Zbl 0185.45102
Gundy, R. F.
22
1968
On a class of martingale series. Zbl 0164.47202
Gundy, R. F.
1
1968
The martingale version of a theorem of Marcinkiewicz and Zygmund. Zbl 0153.20901
Gundy, R. F.
4
1967
On a stopping rule and the central limit theorem. Zbl 0155.25401
Gundy, R. F.; Siegmund, D.
4
1967
Martingale theory and pointwise convergence of certain orthogonal series. Zbl 0158.35801
Gundy, R. F.
31
1966
Complete systems in \(I_2\) and a theorem of Renyi. Zbl 0178.52402
Gundy, R. F.
1
1965
all top 5

Cited by 718 Authors

16 Li, Ji
15 Ding, Wei
15 Lu, Guozhen
15 Weisz, Ferenc
14 Bañuelos, Rodrigo
12 Khoshnevisan, Davar
12 Osękowski, Adam
11 Han, Yongsheng
11 Jiao, Yong
10 He, Shaoyong
10 Lee, Ming-Yi
9 Chen, Jiecheng
9 Yang, Dachun
8 Gevorkyan, Gegham G.
8 Gundy, Richard F.
8 Tan, Chaoqiang
8 Wu, Lian
8 Zhu, Yueping
7 Duong, Xuan Thinh
7 Martell, José María (Chema)
6 Conus, Daniel
6 Dziubański, Jacek
6 Lin, Chincheng
6 Mauceri, Giancarlo
6 Pérez, Carlos
6 Sjogren, Peter
6 Wheeden, Richard Lee
5 Burkholder, Donald L.
5 Chen, Jiao
5 Chevalier, Lucien
5 Davis, Burgess
5 Domelevo, Komla
5 Dutkay, Dorin Ervin
5 Joseph, Mathew
5 Junge, Marius
5 Kenig, Carlos Eduardo
5 Meda, Stefano
5 Petermichl, Stefanie
5 Pipher, Jill Catherine
5 Randrianantoanina, Narcisse
5 Shiu, Shang-Yuan
5 Song, Liang
5 Torchinsky, Alberto
5 Varopoulos, Nicholas Theodore
5 Volberg, Alexander Lvovich
5 Xu, Quanhua
5 Yor, Marc
4 Arcozzi, Nicola
4 Baudoin, Fabrice
4 Borovitskiĭ, Vyacheslav A.
4 Bownik, Marcin
4 Fefferman, Charles Louis
4 Fefferman, Robert A.
4 Jørgensen, Palle E. T.
4 Li, Baode
4 Lin, Guihua
4 Liu, Peide
4 Liu, Suying
4 Pacchiarotti, Barbara
4 Picardello, Massimo Angelo
4 Scotto, Roberto
4 Stein, Elias Menachem
4 Torrea, José Luis
4 Wang, Hua
4 Ward, Lesley A.
4 Wick, Brett Duane
4 Xie, Guangheng
4 Yang, Zhenping
4 Zhou, Dejian
3 Betancor Perez, Jorge Juan
3 Brevig, Ole Fredrik
3 Chanillo, Sagun
3 Chen, Le
3 Chen, Li
3 Chen, Peng
3 de la Peña, Victor H.
3 Ding, Yong
3 Forzani, Liliana
3 Giles, Michael B.
3 Gushchin, Anatoliĭ Konstantinovich
3 Hao, Zhiwei
3 Hitczenko, Paweł
3 Imkeller, Peter
3 Ivanisvili, Paata
3 Jiménez-del-Toro, Ana
3 Kovač, Vjekoslav
3 Li, Libo
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 Nualart, David
3 Obloj, Jan K.
3 Osipov, Nikolay N.
3 Parcet, Javier
3 Peng, Lihua
3 Perfekt, Karl-Mikael
...and 618 more Authors
all top 5

Cited in 169 Serials

39 Journal of Functional Analysis
29 Transactions of the American Mathematical Society
23 Proceedings of the American Mathematical Society
18 Journal of Mathematical Analysis and Applications
16 Stochastic Processes and their Applications
16 Potential Analysis
15 Advances in Mathematics
15 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
15 The Journal of Geometric Analysis
15 The Journal of Fourier Analysis and Applications
12 Analysis Mathematica
11 Probability Theory and Related Fields
10 Arkiv för Matematik
9 Mathematical Notes
9 Annales de l’Institut Fourier
9 Mathematische Zeitschrift
9 Statistics & Probability Letters
8 Israel Journal of Mathematics
8 The Annals of Probability
8 Duke Mathematical Journal
8 Tôhoku Mathematical Journal. Second Series
7 Mathematische Annalen
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Acta Mathematica Hungarica
7 Forum Mathematicum
6 Communications in Mathematical Physics
6 Revista Matemática Iberoamericana
6 Journal of Theoretical Probability
6 Applied and Computational Harmonic Analysis
6 Electronic Journal of Probability
6 Acta Mathematica Sinica. English Series
6 Science China. Mathematics
5 Journal d’Analyse Mathématique
5 Rocky Mountain Journal of Mathematics
5 Archiv der Mathematik
5 Journal of Approximation Theory
5 Journal of Soviet Mathematics
5 Memoirs of the American Mathematical Society
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Bulletin of the American Mathematical Society. New Series
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Banach Journal of Mathematical Analysis
4 Acta Mathematica
4 Illinois Journal of Mathematics
4 Integral Equations and Operator Theory
4 Mathematische Nachrichten
4 The Annals of Applied Probability
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Bernoulli
4 Bulletin of the American Mathematical Society
3 Stochastics
3 Czechoslovak Mathematical Journal
3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
3 Applied Mathematics. Series B (English Edition)
3 Abstract and Applied Analysis
3 Mathematical Inequalities & Applications
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
3 Stochastic and Partial Differential Equations. Analysis and Computations
3 Journal of Function Spaces
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Periodica Mathematica Hungarica
2 Studia Mathematica
2 Ukrainian Mathematical Journal
2 Theory of Probability and its Applications
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Indiana University Mathematics Journal
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Stochastic Analysis and Applications
2 Constructive Approximation
2 Journal of Scientific Computing
2 International Journal of Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Linear Algebra and its Applications
2 Journal of Mathematical Sciences (New York)
2 St. Petersburg Mathematical Journal
2 Sbornik: Mathematics
2 Doklady Mathematics
2 Journal of Inequalities and Applications
2 Revista Matemática Complutense
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Stochastics
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Mathematical Inequalities
2 Analysis & PDE
2 Probability Surveys
2 Analysis and Mathematical Physics
2 Modern Stochastics. Theory and Applications
2 Discrete Analysis
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Applicable Analysis
1 The Canadian Journal of Statistics
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
...and 69 more Serials
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Cited in 40 Fields

316 Harmonic analysis on Euclidean spaces (42-XX)
291 Probability theory and stochastic processes (60-XX)
145 Functional analysis (46-XX)
66 Operator theory (47-XX)
49 Partial differential equations (35-XX)
34 Potential theory (31-XX)
32 Functions of a complex variable (30-XX)
21 Several complex variables and analytic spaces (32-XX)
17 Abstract harmonic analysis (43-XX)
15 Measure and integration (28-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Numerical analysis (65-XX)
12 Approximations and expansions (41-XX)
12 Integral transforms, operational calculus (44-XX)
11 Statistics (62-XX)
10 Real functions (26-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Dynamical systems and ergodic theory (37-XX)
7 Operations research, mathematical programming (90-XX)
6 Combinatorics (05-XX)
6 Special functions (33-XX)
6 Ordinary differential equations (34-XX)
6 Sequences, series, summability (40-XX)
5 Topological groups, Lie groups (22-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Systems theory; control (93-XX)
5 Information and communication theory, circuits (94-XX)
4 Number theory (11-XX)
4 Differential geometry (53-XX)
3 History and biography (01-XX)
3 Difference and functional equations (39-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-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 Quantum theory (81-XX)
1 Geophysics (86-XX)

Citations by Year