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## Wheeden, Richard Lee

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 Author ID: wheeden.richard-l Published as: Wheeden, Richard L.; Wheeden, R. L.; Wheeden, Richard Homepage: https://sites.math.rutgers.edu/~wheeden/ External Links: MGP
 Documents Indexed: 119 Publications since 1965, including 3 Books Biographic References: 2 Publications
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#### Co-Authors

 21 single-authored 12 Chanillo, Sagun 12 Franchi, Bruno 11 Muckenhoupt, Benjamin 11 Sawyer, Eric T. 9 Lu, Guozhen 8 Chua, Seng-Kee 7 Gutiérrez, Cristian E. 6 Strömberg, Jan-Olov 4 Rios, Cristian 4 Segovia Fernández, Carlos 3 Hunt, Richard A. 3 Rodney, Scott 3 Watson, David K. 3 Young, Wo-Sang 2 Gallot, Sylvestre 2 Gundy, Richard F. 2 Kurtz, Douglas S. 2 Liu, Yongping 2 Monticelli, Dario Daniele 2 Verbitsky, Igor E. 2 Wilson, James Michael 2 Zhao, Shiying 2 Zygmund, Antoni 1 Gatto, A. Eduardo 1 Gatto, Angel E. 1 Lotkowski, Edward P. 1 Sadosky, Cora 1 Silverstein, Martin L. 1 Torchinsky, Alberto
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#### Serials

 25 Transactions of the American Mathematical Society 14 Studia Mathematica 8 Indiana University Mathematics Journal 5 Journal of Functional Analysis 5 Proceedings of the American Mathematical Society 5 Communications in Partial Differential Equations 4 Potential Analysis 3 Advances in Mathematics 2 Journal d’Analyse Mathématique 2 American Journal of Mathematics 2 Colloquium Mathematicum 2 Duke Mathematical Journal 2 Journal of Differential Equations 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Differential and Integral Equations 2 The Journal of Fourier Analysis and Applications 2 Journal of Mathematics and Mechanics 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Le Matematiche 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Mathematical Research Letters 1 Journal of Inequalities and Applications 1 Mathematical Sciences Research Hot-Line 1 Acta Mathematica Sinica. English Series 1 Journal of Nonlinear and Convex Analysis 1 Pure and Applied Mathematics, Marcel Dekker
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#### Fields

 41 Harmonic analysis on Euclidean spaces (42-XX) 37 Functional analysis (46-XX) 28 Partial differential equations (35-XX) 24 Real functions (26-XX) 11 Potential theory (31-XX) 9 Integral transforms, operational calculus (44-XX) 7 Functions of a complex variable (30-XX) 7 Abstract harmonic analysis (43-XX) 5 Measure and integration (28-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH Open

105 Publications have been cited 2,495 times in 1,708 Documents Cited by Year
Weighted norm inequalities for the conjugate function and Hilbert transform. Zbl 0262.44004
Hunt, Richard; Muckenhoupt, Benjamin; Wheeden, Richard
1973
Weighted norm inequalities for fractional integrals. Zbl 0289.26010
Muckenhoupt, Benjamin; Wheeden, Richard L.
1974
Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces. Zbl 0783.42011
Sawyer, E.; Wheeden, R. L.
1992
Measure and integral. An introduction to real analysis. Zbl 0362.26004
Wheeden, Richard L.; Zygmund, Antoni
1977
Results on weighted norm inequalities for multipliers. Zbl 0427.42004
Kurtz, Douglas S.; Wheeden, Richard L.
1979
Positive harmonic functions on Lipschitz domains. Zbl 0193.39601
Hunt, R. A.; Wheeden, R. L.
1970
Weighted norm inequalities for singular and fractional integrals. Zbl 0226.44007
Muckenhoupt, Benjamin; Wheeden, Richard L.
1971
Weighted Sobolev-Poincaré inequalities for Grushin type operators. Zbl 0822.46032
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L.
1994
Weighted bounded mean oscillation and the Hilbert transform. Zbl 0318.26014
Muckenhoupt, Benjamin; Wheeden, Richard L.
1976
On the boundary values of harmonic functions. Zbl 0159.40501
Hunt, R. A.; Wheeden, R. L.
1968
Weighted Poincaré and Sobolev inequalities and estimates for weighted Peano maximal functions. Zbl 0575.42026
Chanillo, Sagun; Wheeden, Richard L.
1985
Representation formulas and weighted Poincaré inequalities for Hörmander vector fields. Zbl 0820.46026
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
1995
Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type. Zbl 0892.43005
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
1998
A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type. Zbl 0856.43006
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
1996
Sobolev and isoperimetric inequalities for degenerate metrics. Zbl 0830.46027
Franchi, B.; Gallot, S.; Wheeden, R. L.
1994
Harnack’s inequality and mean-value inequalities for solutions of degenerate elliptic equations. Zbl 0634.35035
Chanillo, Sagun; Wheeden, Richard L.
1986
Uncertainty principle estimates for vector fields. Zbl 0982.42010
Pérez, Carlos; Wheeden, Richard L.
2001
Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform. Zbl 0336.44006
Muckenhoupt, Benjamin; Wheeden, Richard L.
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.
1974
Hölder continuity of weak solutions to subelliptic equations with rough coefficients. Zbl 1096.35031
Sawyer, Eric T.; Wheeden, Richard L.
2006
Some integral and maximal operators related to starlike sets. Zbl 0809.42008
Chanillo, Sagun; Watson, David K.; Wheeden, Richard L.
1993
Harnack’s inequality for degenerate parabolic equations. Zbl 0746.35007
Gutiérrez, Christian E.; Wheeden, Richard L.
1991
A characterization of some weighted norm inequalities for the fractional maximal function. Zbl 0809.42009
Wheeden, Richard L.
1993
Norm inequalities for the Littlewood-Paley function g$$^*_\lambda$$. Zbl 0289.44005
Muckenhoupt, Benjamin; Wheeden, Richard L.
1974
$$L^ p$$ estimates for fractional integrals and Sobolev inequalities with applications to Schrödinger operators. Zbl 0578.46024
Chanillo, Sagun; Wheeden, Richard L.
1985
Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces. Zbl 1007.46034
Liu, Yongping; Lu, Guozhen; Wheeden, Richard L.
2002
Fractional integrals on weighted $$H^ p$$ and $$L^ p$$ spaces. Zbl 0524.42011
Strömberg, Jan-Olov; Wheeden, Richard L.
1985
On certain fractional area integrals. Zbl 0181.12403
Segovia, C.; Wheeden, R. L.
1969
Sobolev interpolation inequalities with weights. Zbl 0762.46018
Gutierrez, Christian E.; Wheeden, Richard L.
1991
Weighted norm inequalities for operators of potential type and fractional maximal functions. Zbl 0873.42012
Sawyer, Eric T.; Wheeden, Richard L.; Zhao, Shiying
1996
On hypersingular integrals and Lebesgue spaces of differentiable functions. Zbl 0169.45601
Wheeden, R. L.
1968
Degenerate Sobolev spaces and regularity of subelliptic equations. Zbl 1191.35085
Sawyer, Eric T.; Wheeden, Richard L.
2010
Some weighted norm inequalities for the area integral. Zbl 0598.34019
Chanillo, Sagun; Wheeden, Richard L.
1987
Mean value and Harnack inequalities for degenerate parabolic equations. Zbl 0785.35057
Gutiérrez, Cristian E.; Wheeden, Richard L.
1990
Sharp conditions for weighted 1-dimensional Poincaré inequalities. Zbl 0979.26009
Chua, Seng-Kee; Wheeden, Richard L.
2000
Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations. Zbl 0841.46018
Franchi, B.; Lu, G.; Wheeden, R. L.
1995
Some weighted weak-type inequalities for the Hardy-Littlewood maximal function and the Hilbert transform. Zbl 0337.44001
Muckenhoupt, Benjamin; Wheeden, Richard L.
1977
High order representation formulas and embedding theorems on stratified groups and generalizations. Zbl 0974.46039
Lu, Guozhen; Wheeden, Richard L.
2000
An optimal representation formula for Carnot-Carathéodory vector fields. Zbl 0931.31003
Lu, Guozhen; Wheeden, Richard L.
1998
Measure and integral. An introduction to real analysis. 2nd ed. Zbl 1326.26007
Wheeden, Richard L.; Zygmund, Antoni
2015
Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients. Zbl 1249.35117
Monticelli, D. D.; Rodney, S.; Wheeden, R. L.
2012
On the dual of weighted $$H^1$$ of the half-space. Zbl 0389.46039
Muckenhoupt, Benjamin; Wheeden, Richard L.
1978
Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators. Zbl 0811.46023
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L.
1994
A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces. Zbl 1074.46022
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
2003
Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups. Zbl 1070.46024
Lu, Guozhen; Wheeden, Richard L.
2004
A boundary value characterization of weighted $$H^1$$. Zbl 0324.31003
Wheeden, Richard L.
1976
A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations. Zbl 1072.35052
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2005
On hypersingular integrals and Lebesgue spaces of differentiable functions. II. Zbl 0175.14502
Wheeden, R. L.
1969
Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions. Zbl 1097.35035
Sawyer, Eric T.; Wheeden, Richard L.
2006
Harnack’s inequality and Hölder continuity for weak solutions of degenerate quasilinear equations with rough coefficients. Zbl 1323.35045
Monticelli, D. D.; Rodney, S.; Wheeden, R. L.
2015
Estimates of best constants for weighted Poincaré inequalities on convex domains. Zbl 1154.26019
Chua, Seng-Kee; Wheeden, Richard L.
2006
Potential operators, maximal functions, and generalizations of $$A_{\infty}$$. Zbl 1027.42015
Pérez, Carlos; Wheeden, Richard L.
2003
Existence and estimates of Green’s function for degenerate elliptic equations. Zbl 0688.35002
Chanillo, S.; Wheeden, R. L.
1988
Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0785.35002
Gutiérrez, Cristian E.; Wheeden, Richard L.
1992
Poincaré inequalities for a class of non-$$A_ p$$ weights. Zbl 0795.42012
Chanillo, Sagun; Wheeden, Richard L.
1992
$$L^ 2$$ multipliers with power weights. Zbl 0521.42012
Muckenhoupt, Benjamin; Wheeden, Richard L.; Young, Wo-Sang
1983
Regularity of subelliptic Monge-Ampère equations. Zbl 1140.35008
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2008
Self-improving properties of inequalities of Poincaré type on $$s$$-John domains. Zbl 1214.26014
Chua, Seng-Kee; Wheeden, Richard L.
2011
Weighted norm inequalities for integral operators. Zbl 0920.42007
Verbitsky, Igor E.; Wheeden, Richard L.
1998
A note on singular integrals with weights. Zbl 0466.42008
Kurtz, Douglas S.; Wheeden, Richard L.
1981
Inequalities for Peano maximal functions and Marcinkiewicz integrals. Zbl 0536.42020
Chanillo, Sagun; Wheeden, Richard L.
1983
Lebesgue and Lipschitz spaces and integrals of the Marcinkiewicz type. Zbl 0177.15703
Wheeden, R. L.
1969
Some weighted norm inequalities for the Fourier transform of functions with vanishing moments. Zbl 0636.42012
1987
Poincaré inequalities, isoperimetric estimates, and representation formulas on product spaces. Zbl 0931.26007
Lu, Guozhen; Wheeden, Richard L.
1998
Self-improving properties of inequalities of Poincaré type on measure spaces and applications. Zbl 1172.46020
Chua, Seng-Kee; Wheeden, Richard L.
2008
Compensation couples and isoperimetric estimates for vector fields. Zbl 0915.46028
Franchi, Bruno; Wheeden, Richard L.
1997
Weighted norm inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0245.28003
Gundy, R. F.; Wheeden, R. L.
1973
A note on sharp 1-dimensional Poincaré inequalities. Zbl 1116.26012
Chua, Seng-Kee; Wheeden, Richard L.
2006
Fractional integrals on weighted $$H^ p$$ spaces. Zbl 0573.42013
Gatto, Angel E.; Gutiérrez, Cristian E.; Wheeden, Richard L.
1985
A compact embedding theorem for generalized Sobolev spaces. Zbl 1360.46015
Chua, Seng-Kee; Rodney, Scott; Wheeden, Richard L.
2013
Weak type estimates for operators of potential type. Zbl 0861.42010
Wheeden, Richard L.; Zhao, Shiying
1996
A note on a generalized hypersingular integral. Zbl 0259.44003
Wheeden, Richard L.
1972
Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem. Zbl 1310.35081
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2013
Weighted Poincaré inequalities on convex domains. Zbl 1226.46027
Chua, Seng-Kee; Wheeden, Richard L.
2010
Carleson conditions for the Poisson integral. Zbl 0748.42009
Sawyer, Eric; Wheeden, Richard L.
1991
Relations between Peano derivatives and Marcinkiewicz integrals. Zbl 0509.42021
Chanillo, Sagun; Wheeden, Richard L.
1983
Weighted norm estimates for gradients of half-space extensions. Zbl 0860.42015
Wheeden, Richard L.; Wilson, J. Michael
1995
On the function $$g_ \lambda^ *$$ and the heat equation. Zbl 0214.35602
Segovia, C.; Wheeden, R. L.
1970
A priori estimates for infinitely degenerate quasilinear equations. Zbl 1224.35149
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2008
Sufficiency conditions for L p multipliers with general weights. Zbl 0641.42011
Muckenhoupt, Benjamin; Wheeden, Richard L.; Young, Wo-Sang
1987
Relations between $$H_\omega^ p$$ and $$L_\omega^ p$$ with polynomial weights. Zbl 0491.42017
Strömberg, Jan-Olov; Wheeden, Richard L.
1982
Weighted trace inequalities for fractional integrals and applications to semilinear equations. Zbl 0830.46029
Verbitsky, I. E.; Wheeden, R. L.
1995
A priori estimates for quasilinear equations related to the Monge-Ampère equation in two dimensions. Zbl 1260.35052
Sawyer, Eric T.; Wheeden, Richard L.
2006
Sufficiency conditions for $$L^p$$ multipliers with power weights. Zbl 0641.42010
Muckenhoupt, Benjamin; Wheeden, Richard L.; Young, Wo-Sang
1987
Norm estimates and representations for Calderón-Zygmund operators using averages over starlike sets. Zbl 0928.42005
Watson, David K.; Wheeden, Richard L.
1999
Weighted norm estimates for the Fourier transform with a pair of weights. Zbl 0684.42005
Strömberg, Jan-Olov; Wheeden, Richard L.
1990
Sobolev inequalities for products of powers. Zbl 0686.46020
Gatto, A. Eduardo; Wheeden, Richard L.
1989
Existence of weak solutions to degenerate $$p$$-Laplacian equations and integral formulas. Zbl 1380.35112
Chua, Seng-Kee; Wheeden, Richard L.
2017
Isoperimetric inequalities for degenerate metrics. (Inégalités isopérimétriques pour des métriques dégénérées.) Zbl 0794.51011
Franchi, Bruno; Gallot, Sylvestre; Wheeden, Richard L.
1993
Distribution function estimates for Marcinkiewicz integrals and differentiability. Zbl 0599.42010
Chanillo, Sagun; Wheeden, Richard L.
1982
Some remarks about Poincaré type inequalities and representation formulas in metric spaces of homogeneous type. Zbl 0934.46037
Franchi, Bruno; Wheeden, Richard L.
1999
Relations between $$H^ p_ u$$ and $$L^ p_ u$$ in a product space. Zbl 0689.42020
Strömberg, Jan-Olov; Wheeden, Richard L.
1989
A note on a maximal function of C. Fefferman and Stein. Zbl 0522.42016
Chanillo, Sagun; Wheeden, Richard L.
1983
Representation formulas and Sobolev spaces of high order on stratified groups and generalizations to metric spaces. Zbl 0962.46020
Liu, Yongping; Lu, Guozhen; Wheeden, Richard L.
1999
Poincaré-Sobolev and isoperimetric inequalities, maximal functions, and half-space estimates for the gradient. Zbl 0831.46032
Wheeden, Richard L.
1994
On the $$n$$-dimensional integral of Marcinkiewicz. Zbl 0163.06403
Wheeden, R. L.
1965
Superharmonic functions on Lipschitz domains. Zbl 0212.13304
Silverstein, M. L.; Wheeden, R. L.
1971
On weighted norm inequalities for the Lusin area integral. Zbl 0271.44004
Segovia, Carlos; Wheeden, Richard L.
1973
On the radial and nontangential maximal functions for the disc. Zbl 0279.30036
Wheeden, Richard L.
1974
On the Marcinkiewicz integral and functions of bounded mean oscillation. Zbl 0447.31001
Torchinsky, Alberto; Wheeden, Richard L.
1980
Existence of weak solutions to degenerate $$p$$-Laplacian equations and integral formulas. Zbl 1380.35112
Chua, Seng-Kee; Wheeden, Richard L.
2017
Measure and integral. An introduction to real analysis. 2nd ed. Zbl 1326.26007
Wheeden, Richard L.; Zygmund, Antoni
2015
Harnack’s inequality and Hölder continuity for weak solutions of degenerate quasilinear equations with rough coefficients. Zbl 1323.35045
Monticelli, D. D.; Rodney, S.; Wheeden, R. L.
2015
A compact embedding theorem for generalized Sobolev spaces. Zbl 1360.46015
Chua, Seng-Kee; Rodney, Scott; Wheeden, Richard L.
2013
Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem. Zbl 1310.35081
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2013
Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients. Zbl 1249.35117
Monticelli, D. D.; Rodney, S.; Wheeden, R. L.
2012
Self-improving properties of inequalities of Poincaré type on $$s$$-John domains. Zbl 1214.26014
Chua, Seng-Kee; Wheeden, Richard L.
2011
Degenerate Sobolev spaces and regularity of subelliptic equations. Zbl 1191.35085
Sawyer, Eric T.; Wheeden, Richard L.
2010
Weighted Poincaré inequalities on convex domains. Zbl 1226.46027
Chua, Seng-Kee; Wheeden, Richard L.
2010
Regularity of subelliptic Monge-Ampère equations. Zbl 1140.35008
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2008
Self-improving properties of inequalities of Poincaré type on measure spaces and applications. Zbl 1172.46020
Chua, Seng-Kee; Wheeden, Richard L.
2008
A priori estimates for infinitely degenerate quasilinear equations. Zbl 1224.35149
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2008
Hölder continuity of weak solutions to subelliptic equations with rough coefficients. Zbl 1096.35031
Sawyer, Eric T.; Wheeden, Richard L.
2006
Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions. Zbl 1097.35035
Sawyer, Eric T.; Wheeden, Richard L.
2006
Estimates of best constants for weighted Poincaré inequalities on convex domains. Zbl 1154.26019
Chua, Seng-Kee; Wheeden, Richard L.
2006
A note on sharp 1-dimensional Poincaré inequalities. Zbl 1116.26012
Chua, Seng-Kee; Wheeden, Richard L.
2006
A priori estimates for quasilinear equations related to the Monge-Ampère equation in two dimensions. Zbl 1260.35052
Sawyer, Eric T.; Wheeden, Richard L.
2006
A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations. Zbl 1072.35052
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2005
Simultaneous representation and approximation formulas and high-order Sobolev embedded theorems on stratified groups. Zbl 1070.46024
Lu, Guozhen; Wheeden, Richard L.
2004
A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces. Zbl 1074.46022
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
2003
Potential operators, maximal functions, and generalizations of $$A_{\infty}$$. Zbl 1027.42015
Pérez, Carlos; Wheeden, Richard L.
2003
Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces. Zbl 1007.46034
Liu, Yongping; Lu, Guozhen; Wheeden, Richard L.
2002
Uncertainty principle estimates for vector fields. Zbl 0982.42010
Pérez, Carlos; Wheeden, Richard L.
2001
Sharp conditions for weighted 1-dimensional Poincaré inequalities. Zbl 0979.26009
Chua, Seng-Kee; Wheeden, Richard L.
2000
High order representation formulas and embedding theorems on stratified groups and generalizations. Zbl 0974.46039
Lu, Guozhen; Wheeden, Richard L.
2000
Sharp geometric Poincaré inequalities for vector fields and non-doubling measures. Zbl 1027.46031
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
2000
Norm estimates and representations for Calderón-Zygmund operators using averages over starlike sets. Zbl 0928.42005
Watson, David K.; Wheeden, Richard L.
1999
Some remarks about Poincaré type inequalities and representation formulas in metric spaces of homogeneous type. Zbl 0934.46037
Franchi, Bruno; Wheeden, Richard L.
1999
Representation formulas and Sobolev spaces of high order on stratified groups and generalizations to metric spaces. Zbl 0962.46020
Liu, Yongping; Lu, Guozhen; Wheeden, Richard L.
1999
Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type. Zbl 0892.43005
Franchi, Bruno; Pérez, Carlos; Wheeden, Richard L.
1998
An optimal representation formula for Carnot-Carathéodory vector fields. Zbl 0931.31003
Lu, Guozhen; Wheeden, Richard L.
1998
Weighted norm inequalities for integral operators. Zbl 0920.42007
Verbitsky, Igor E.; Wheeden, Richard L.
1998
Poincaré inequalities, isoperimetric estimates, and representation formulas on product spaces. Zbl 0931.26007
Lu, Guozhen; Wheeden, Richard L.
1998
Compensation couples and isoperimetric estimates for vector fields. Zbl 0915.46028
Franchi, Bruno; Wheeden, Richard L.
1997
A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type. Zbl 0856.43006
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
1996
Weighted norm inequalities for operators of potential type and fractional maximal functions. Zbl 0873.42012
Sawyer, Eric T.; Wheeden, Richard L.; Zhao, Shiying
1996
Weak type estimates for operators of potential type. Zbl 0861.42010
Wheeden, Richard L.; Zhao, Shiying
1996
Representation formulas and weighted Poincaré inequalities for Hörmander vector fields. Zbl 0820.46026
Franchi, Bruno; Lu, Guozhen; Wheeden, Richard L.
1995
Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations. Zbl 0841.46018
Franchi, B.; Lu, G.; Wheeden, R. L.
1995
Weighted norm estimates for gradients of half-space extensions. Zbl 0860.42015
Wheeden, Richard L.; Wilson, J. Michael
1995
Weighted trace inequalities for fractional integrals and applications to semilinear equations. Zbl 0830.46029
Verbitsky, I. E.; Wheeden, R. L.
1995
Weighted Sobolev-Poincaré inequalities for Grushin type operators. Zbl 0822.46032
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L.
1994
Sobolev and isoperimetric inequalities for degenerate metrics. Zbl 0830.46027
Franchi, B.; Gallot, S.; Wheeden, R. L.
1994
Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators. Zbl 0811.46023
Franchi, Bruno; Gutiérrez, Cristian E.; Wheeden, Richard L.
1994
Poincaré-Sobolev and isoperimetric inequalities, maximal functions, and half-space estimates for the gradient. Zbl 0831.46032
Wheeden, Richard L.
1994
Some integral and maximal operators related to starlike sets. Zbl 0809.42008
Chanillo, Sagun; Watson, David K.; Wheeden, Richard L.
1993
A characterization of some weighted norm inequalities for the fractional maximal function. Zbl 0809.42009
Wheeden, Richard L.
1993
Isoperimetric inequalities for degenerate metrics. (Inégalités isopérimétriques pour des métriques dégénérées.) Zbl 0794.51011
Franchi, Bruno; Gallot, Sylvestre; Wheeden, Richard L.
1993
Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces. Zbl 0783.42011
Sawyer, E.; Wheeden, R. L.
1992
Bounds for the fundamental solution of degenerate parabolic equations. Zbl 0785.35002
Gutiérrez, Cristian E.; Wheeden, Richard L.
1992
Poincaré inequalities for a class of non-$$A_ p$$ weights. Zbl 0795.42012
Chanillo, Sagun; Wheeden, Richard L.
1992
Harnack’s inequality for degenerate parabolic equations. Zbl 0746.35007
Gutiérrez, Christian E.; Wheeden, Richard L.
1991
Sobolev interpolation inequalities with weights. Zbl 0762.46018
Gutierrez, Christian E.; Wheeden, Richard L.
1991
Carleson conditions for the Poisson integral. Zbl 0748.42009
Sawyer, Eric; Wheeden, Richard L.
1991
Mean value and Harnack inequalities for degenerate parabolic equations. Zbl 0785.35057
Gutiérrez, Cristian E.; Wheeden, Richard L.
1990
Weighted norm estimates for the Fourier transform with a pair of weights. Zbl 0684.42005
Strömberg, Jan-Olov; Wheeden, Richard L.
1990
Sobolev inequalities for products of powers. Zbl 0686.46020
Gatto, A. Eduardo; Wheeden, Richard L.
1989
Relations between $$H^ p_ u$$ and $$L^ p_ u$$ in a product space. Zbl 0689.42020
Strömberg, Jan-Olov; Wheeden, Richard L.
1989
Existence and estimates of Green’s function for degenerate elliptic equations. Zbl 0688.35002
Chanillo, S.; Wheeden, R. L.
1988
Some weighted norm inequalities for the area integral. Zbl 0598.34019
Chanillo, Sagun; Wheeden, Richard L.
1987
Some weighted norm inequalities for the Fourier transform of functions with vanishing moments. Zbl 0636.42012
1987
Sufficiency conditions for L p multipliers with general weights. Zbl 0641.42011
Muckenhoupt, Benjamin; Wheeden, Richard L.; Young, Wo-Sang
1987
Sufficiency conditions for $$L^p$$ multipliers with power weights. Zbl 0641.42010
Muckenhoupt, Benjamin; Wheeden, Richard L.; Young, Wo-Sang
1987
Norm inequalities for potential-type operators. Zbl 0696.31010
Chanillo, S.; Strömberg, J. O.; Wheeden, R. L.
1987
Harnack’s inequality and mean-value inequalities for solutions of degenerate elliptic equations. Zbl 0634.35035
Chanillo, Sagun; Wheeden, Richard L.
1986
Weighted Poincaré and Sobolev inequalities and estimates for weighted Peano maximal functions. Zbl 0575.42026
Chanillo, Sagun; Wheeden, Richard L.
1985
$$L^ p$$ estimates for fractional integrals and Sobolev inequalities with applications to Schrödinger operators. Zbl 0578.46024
Chanillo, Sagun; Wheeden, Richard L.
1985
Fractional integrals on weighted $$H^ p$$ and $$L^ p$$ spaces. Zbl 0524.42011
Strömberg, Jan-Olov; Wheeden, Richard L.
1985
Fractional integrals on weighted $$H^ p$$ spaces. Zbl 0573.42013
Gatto, Angel E.; Gutiérrez, Cristian E.; Wheeden, Richard L.
1985
$$L^ 2$$ multipliers with power weights. Zbl 0521.42012
Muckenhoupt, Benjamin; Wheeden, Richard L.; Young, Wo-Sang
1983
Inequalities for Peano maximal functions and Marcinkiewicz integrals. Zbl 0536.42020
Chanillo, Sagun; Wheeden, Richard L.
1983
Relations between Peano derivatives and Marcinkiewicz integrals. Zbl 0509.42021
Chanillo, Sagun; Wheeden, Richard L.
1983
A note on a maximal function of C. Fefferman and Stein. Zbl 0522.42016
Chanillo, Sagun; Wheeden, Richard L.
1983
Relations between $$H_\omega^ p$$ and $$L_\omega^ p$$ with polynomial weights. Zbl 0491.42017
Strömberg, Jan-Olov; Wheeden, Richard L.
1982
Distribution function estimates for Marcinkiewicz integrals and differentiability. Zbl 0599.42010
Chanillo, Sagun; Wheeden, Richard L.
1982
A note on singular integrals with weights. Zbl 0466.42008
Kurtz, Douglas S.; Wheeden, Richard L.
1981
On the Marcinkiewicz integral and functions of bounded mean oscillation. Zbl 0447.31001
Torchinsky, Alberto; Wheeden, Richard L.
1980
Results on weighted norm inequalities for multipliers. Zbl 0427.42004
Kurtz, Douglas S.; Wheeden, Richard L.
1979
On the dual of weighted $$H^1$$ of the half-space. Zbl 0389.46039
Muckenhoupt, Benjamin; Wheeden, Richard L.
1978
Measure and integral. An introduction to real analysis. Zbl 0362.26004
Wheeden, Richard L.; Zygmund, Antoni
1977
Some weighted weak-type inequalities for the Hardy-Littlewood maximal function and the Hilbert transform. Zbl 0337.44001
Muckenhoupt, Benjamin; Wheeden, Richard L.
1977
The equivalence of various Lipschitz conditions on the weighted mean oscillation of a function. Zbl 0345.26002
Lotkowski, Edward P.; Wheeden, Richard L.
1977
Weighted bounded mean oscillation and the Hilbert transform. Zbl 0318.26014
Muckenhoupt, Benjamin; Wheeden, Richard L.
1976
Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform. Zbl 0336.44006
Muckenhoupt, Benjamin; Wheeden, Richard L.
1976
A boundary value characterization of weighted $$H^1$$. Zbl 0324.31003
Wheeden, Richard L.
1976
Weighted norm inequalities for fractional integrals. Zbl 0289.26010
Muckenhoupt, Benjamin; Wheeden, Richard L.
1974
Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0271.28002
Gundy, R. F.; Wheeden, R. L.
1974
Norm inequalities for the Littlewood-Paley function g$$^*_\lambda$$. Zbl 0289.44005
Muckenhoupt, Benjamin; Wheeden, Richard L.
1974
On the radial and nontangential maximal functions for the disc. Zbl 0279.30036
Wheeden, Richard L.
1974
Weighted norm inequalities for the conjugate function and Hilbert transform. Zbl 0262.44004
Hunt, Richard; Muckenhoupt, Benjamin; Wheeden, Richard
1973
Weighted norm inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0245.28003
Gundy, R. F.; Wheeden, R. L.
1973
On weighted norm inequalities for the Lusin area integral. Zbl 0271.44004
Segovia, Carlos; Wheeden, Richard L.
1973
A note on a generalized hypersingular integral. Zbl 0259.44003
Wheeden, Richard L.
1972
Weighted norm inequalities for singular and fractional integrals. Zbl 0226.44007
Muckenhoupt, Benjamin; Wheeden, Richard L.
1971
Superharmonic functions on Lipschitz domains. Zbl 0212.13304
Silverstein, M. L.; Wheeden, R. L.
1971
Positive harmonic functions on Lipschitz domains. Zbl 0193.39601
Hunt, R. A.; Wheeden, R. L.
1970
On the function $$g_ \lambda^ *$$ and the heat equation. Zbl 0214.35602
Segovia, C.; Wheeden, R. L.
1970
On certain fractional area integrals. Zbl 0181.12403
Segovia, C.; Wheeden, R. L.
1969
On hypersingular integrals and Lebesgue spaces of differentiable functions. II. Zbl 0175.14502
Wheeden, R. L.
1969
Lebesgue and Lipschitz spaces and integrals of the Marcinkiewicz type. Zbl 0177.15703
Wheeden, R. L.
1969
...and 5 more Documents
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#### Cited by 1,608 Authors

 42 Wheeden, Richard Lee 31 Sawyer, Eric T. 31 Yang, Dachun 29 Ding, Yong 28 Lu, Guozhen 26 Cruz-Uribe, David Vincente 23 Lu, Shanzhen 21 Kokilashvili, Vakhtang Mikhailovich 18 Franchi, Bruno 18 Meskhi, Alexander 17 Moen, Kabe 16 Pradolini, Gladis G. 15 Martell, José María (Chema) 15 Xue, Qingying 14 Wu, Huoxiong 13 Betancor Perez, Jorge Juan 13 Chanillo, Sagun 13 Verbitsky, Igor E. 11 Guliyev, Vagif Sabir 11 Kenig, Carlos Eduardo 11 Niu, Pengcheng 10 Chua, Seng-Kee 10 Gurbuz, Ferit 10 Lee, Ming-Yi 10 Lin, Chincheng 10 Morbidelli, Daniele 10 Salinas, Oscar 10 Samko, Stefan Grigorievich 10 Wang, Hua 10 Yuan, Wen 10 Zhang, Pu 9 Chen, Jiecheng 9 Chen, Yanping 9 Han, Yongsheng 9 Hytönen, Tuomas P. 9 Li, Ji 9 Rafeiro, Humberto 9 Rivera-Ríos, Israel P. 9 Rodríguez-Mesa, Lourdes 9 Tikhonov, Sergey Yur’evich 9 Zamboni, Pietro 8 Ciaurri, Óscar 8 Devroye, Luc P. J. A. 8 Di Fazio, Giuseppe 8 Hurri-Syrjānen, Ritva 8 Karlovich, Yuri I. 8 Mastroianni, Giuseppe 8 Rios, Cristian 8 Torrea, José Luis 8 Uriarte-Tuero, Ignacio 7 Baldi, Annalisa 7 Böttcher, Albrecht 7 Carro, María Jesús 7 Edmunds, David Eric 7 Fariña, Juan Carlos 7 Gadjiev, Tahir S. 7 Hu, Yue 7 Lacey, Michael T. 7 Lam, Nguyen 7 Lanconelli, Ermanno 7 Li, Kangwei 7 Mamedov, Farman Imran 7 Monti, Roberto 7 Nguyen Cong Phuc 7 Omarova, Mehriban N. 7 Rodney, Scott 7 Ruzhansky, Michael V. 7 Treil, Sergei 7 Varona Malumbres, Juan Luis 7 Vodop’yanov, Sergeĭ Konstantinovich 7 Volberg, Alexander Lvovich 7 Wang, Hongbin 7 Wick, Brett D. 7 Yu, Xiao 6 Andersen, Kenneth F. 6 Cao, Mingming 6 Castro, Alejandro J. 6 Duoandikoetxea, Javier 6 Fanciullo, Maria Stella 6 Gogatishvili, Amiran 6 Harboure, Eleonor O. 6 Hong, Dug Hun 6 Hu, Guoen 6 Nielsen, Morten 6 Osękowski, Adam 6 Petermichl, Stefanie 6 Pucci, Patrizia 6 Riveros, María Silvina 6 Serra Cassano, Francesco 6 Šikić, Hrvoje 6 Sikora, Adam S. 6 Spitkovsky, Ilya Matvey 6 Stempak, Krzysztof 6 Tao, Xiangxing 6 Torchinsky, Alberto 6 Uguzzoni, Francesco 6 Vähäkangas, Antti V. 6 Viviani, Beatriz E. 6 Wang, Yueshan 5 Agarwal, Ravi P. ...and 1,508 more Authors
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#### Cited in 298 Serials

 109 Journal of Mathematical Analysis and Applications 102 Transactions of the American Mathematical Society 78 Proceedings of the American Mathematical Society 77 Journal of Functional Analysis 48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 43 Acta Mathematica Sinica. English Series 38 Potential Analysis 36 Advances in Mathematics 34 Journal of Differential Equations 34 The Journal of Geometric Analysis 29 Integral Equations and Operator Theory 24 Arkiv för Matematik 24 Journal of Function Spaces 23 Journal d’Analyse Mathématique 22 The Journal of Fourier Analysis and Applications 21 Mathematische Zeitschrift 20 Journal of Inequalities and Applications 19 Annales de l’Institut Fourier 19 Mathematische Annalen 17 Mathematische Nachrichten 16 Journal of Approximation Theory 16 Communications in Partial Differential Equations 15 Journal of Mathematical Sciences (New York) 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Georgian Mathematical Journal 13 Applied Mathematics. Series B (English Edition) 13 Calculus of Variations and Partial Differential Equations 12 Revista Matemática Iberoamericana 11 Mathematical Notes 11 Zeitschrift für Analysis und ihre Anwendungen 10 Duke Mathematical Journal 10 Journal of Soviet Mathematics 10 Siberian Mathematical Journal 10 Tohoku Mathematical Journal. Second Series 10 Forum Mathematicum 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Analysis in Theory and Applications 10 Science China. Mathematics 9 Rocky Mountain Journal of Mathematics 9 Studia Mathematica 9 Collectanea Mathematica 9 Discrete and Continuous Dynamical Systems 9 Journal of Function Spaces and Applications 8 Israel Journal of Mathematics 8 Czechoslovak Mathematical Journal 8 Manuscripta Mathematica 8 Bulletin des Sciences Mathématiques 8 Mathematical Inequalities & Applications 7 Archive for Rational Mechanics and Analysis 7 The Annals of Statistics 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Illinois Journal of Mathematics 7 Indiana University Mathematics Journal 7 Monatshefte für Mathematik 7 Acta Mathematica Hungarica 7 Science in China. Series A 7 Annales Academiae Scientiarum Fennicae. Mathematica 7 Journal of the Australian Mathematical Society 7 Advanced Nonlinear Studies 6 Mathematics of Computation 6 Journal of Computational and Applied Mathematics 6 Journal of Multivariate Analysis 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 St. Petersburg Mathematical Journal 6 Integral Transforms and Special Functions 6 Positivity 6 Fractional Calculus & Applied Analysis 6 Communications in Contemporary Mathematics 6 Journal of Mathematical Inequalities 6 Banach Journal of Mathematical Analysis 5 Applicable Analysis 5 Probability Theory and Related Fields 5 Turkish Journal of Mathematics 5 Vietnam Journal of Mathematics 5 Abstract and Applied Analysis 5 Revista Matemática Complutense 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Bulletin of the American Mathematical Society 5 Frontiers of Mathematics in China 5 Analysis and Mathematical Physics 4 Analysis Mathematica 4 Communications in Mathematical Physics 4 The Annals of Probability 4 Archiv der Mathematik 4 Fuzzy Sets and Systems 4 Journal für die Reine und Angewandte Mathematik 4 Memoirs of the American Mathematical Society 4 Nagoya Mathematical Journal 4 Results in Mathematics 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 SIAM Journal on Mathematical Analysis 4 Bulletin of the American Mathematical Society. New Series 4 Bernoulli 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 4 Analysis and Geometry in Metric Spaces 4 Concrete Operators 4 Open Mathematics ...and 198 more Serials
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#### Cited in 53 Fields

 805 Harmonic analysis on Euclidean spaces (42-XX) 479 Partial differential equations (35-XX) 369 Functional analysis (46-XX) 245 Operator theory (47-XX) 173 Real functions (26-XX) 145 Potential theory (31-XX) 90 Probability theory and stochastic processes (60-XX) 76 Functions of a complex variable (30-XX) 76 Abstract harmonic analysis (43-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 41 Integral equations (45-XX) 39 Differential geometry (53-XX) 38 Global analysis, analysis on manifolds (58-XX) 37 Topological groups, Lie groups (22-XX) 37 Integral transforms, operational calculus (44-XX) 37 Statistics (62-XX) 35 Measure and integration (28-XX) 33 Approximations and expansions (41-XX) 29 Numerical analysis (65-XX) 26 Ordinary differential equations (34-XX) 24 Fluid mechanics (76-XX) 19 Systems theory; control (93-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Several complex variables and analytic spaces (32-XX) 11 Special functions (33-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Quantum theory (81-XX) 9 Operations research, mathematical programming (90-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Sequences, series, summability (40-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 Mathematical logic and foundations (03-XX) 5 Convex and discrete geometry (52-XX) 5 General topology (54-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Difference and functional equations (39-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Mechanics of particles and systems (70-XX)