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## Sawyer, Eric T.

Compute Distance To:
 Author ID: sawyer.eric-t Published as: Sawyer, E.; Sawyer, E. T.; Sawyer, Eric; Sawyer, Eric T. External Links: MGP
 Documents Indexed: 102 Publications since 1979, including 8 Books
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#### Co-Authors

 20 single-authored 14 Arcozzi, Nicola 14 Rochberg, Richard 13 Wick, Brett D. 12 Uriarte-Tuero, Ignacio 11 Wheeden, Richard Lee 10 Iosevich, Alex 6 Shen, Chun-Yen 5 Guan, Pengfei 5 Kerman, Ron 5 Lacey, Michael T. 5 Rios, Cristian 4 Han, Yongsheng 4 Seeger, Andreas 3 Chanillo, Sagun 3 Lu, Guozhen 3 Reguera, Maria Carmen 2 Chen, Wengu 2 Costea, Şerban 2 Csima, Judit 2 Douglas, Ronald George 2 Franchi, Bruno 2 Krantz, Steven George 2 Pott, Sandra 2 Treil, Sergei 2 Wang, Zipeng 1 Andersen, Kenneth F. 1 Baernstein, Albert II 1 Bickel, Kelly 1 Geba, Dan-Andrei 1 Greenleaf, Allan 1 Hytönen, Tuomas P. 1 Krause, Bernd 1 Lin, Chincheng 1 Martikainen, Henri 1 Martín-Reyes, Francisco Javier 1 Martín, María J. 1 Orponen, Tuomas 1 Palsson, Eyvindur Ari 1 Pérez, Carlos E. 1 Rahm, Robert 1 Ruan, Zhuoping 1 Taylor, Krystal 1 Vukotić, Dragan 1 Wicks, Brett D. 1 Zhao, Shiying
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#### Serials

 9 Transactions of the American Mathematical Society 7 Journal d’Analyse Mathématique 7 Studia Mathematica 6 Advances in Mathematics 4 Annales de l’Institut Fourier 4 Indiana University Mathematics Journal 4 Memoirs of the American Mathematical Society 4 Proceedings of the American Mathematical Society 4 Revista Matemática Iberoamericana 4 Analysis & PDE 3 Potential Analysis 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Chinese Annals of Mathematics. Series B 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematika 1 Real Analysis Exchange 1 Discrete & Computational Geometry 1 Publicacions Matemàtiques 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 The Journal of Fourier Analysis and Applications 1 Annals of Mathematics. Second Series 1 Fields Institute Communications 1 Fields Institute Monographs 1 Mathematical Surveys and Monographs 1 Applied and Numerical Harmonic Analysis
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#### Fields

 50 Harmonic analysis on Euclidean spaces (42-XX) 24 Partial differential equations (35-XX) 23 Functional analysis (46-XX) 17 Operator theory (47-XX) 15 Functions of a complex variable (30-XX) 14 Several complex variables and analytic spaces (32-XX) 5 Real functions (26-XX) 4 Number theory (11-XX) 4 Potential theory (31-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

87 Publications have been cited 1,629 times in 1,129 Documents Cited by Year
Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces. Zbl 0783.42011
Sawyer, E.; Wheeden, R. L.
1992
A characterization of a two-weight norm inequality for maximal operators. Zbl 0508.42023
Sawyer, Eric T.
1982
Boundedness of classical operators on classical Lorentz spaces. Zbl 0705.42014
Sawyer, E.
1990
A characterization of two weight norm inequalities for fractional and Poisson integrals. Zbl 0665.42023
Sawyer, Eric T.
1988
Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces. Zbl 0806.42013
Han, Y. S.; Sawyer, E. T.
1994
The trace inequality and eigenvalue estimates for Schrödinger operators. Zbl 0591.47037
Kerman, R.; Sawyer, E.
1986
Weighted inequalities for the one-sided Hardy-Littlewood maximal functions. Zbl 0627.42009
Sawyer, E.
1986
Carleson measures for analytic Besov spaces. Zbl 1059.30051
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric
2002
Weighted norm inequalities for the Riemann-Liouville and Weyl fractional integral operators. Zbl 0664.26002
Andersen, K. F.; Sawyer, E. T.
1988
Two-weight inequality for the Hilbert transform: a real variable characterization. I. Zbl 1312.42011
Lacey, Michael T.; Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2014
Weighted Lebesgue and Lorentz norm inequalities for the Hardy operator. Zbl 0538.47020
Sawyer, Eric
1984
A two weight weak type inequality for fractional integrals. Zbl 0539.42008
Sawyer, Eric
1984
Hölder continuity of weak solutions to subelliptic equations with rough coefficients. Zbl 1096.35031
Sawyer, Eric T.; Wheeden, Richard L.
2006
Embedding and multiplier theorems for $$H^ p({\mathbb{R}}^ n)$$. Zbl 0566.42013
Baernstein, A.; Sawyer, E. T.
1985
Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls. Zbl 1167.32003
Arcozzi, N.; Rochberg, R.; Sawyer, E.
2008
Unique continuation for $$\Delta +v$$ and the C. Fefferman-Phong class. Zbl 0702.35034
Chanillo, Sagun; Sawyer, Eric
1990
Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on $$A_p$$ weighted spaces. Zbl 1278.42025
Hytönen, Tuomas P.; Lacey, Michael T.; Martikainen, Henri; Orponen, Tuomas; Reguera, Maria Carmen; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
2012
Maximal averages over surfaces. Zbl 0921.42015
Iosevich, A.; Sawyer, E.
1997
Carleson measures and multipliers of Dirichlet-type spaces. Zbl 0657.31019
Kerman, Ron; Sawyer, Eric
1988
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
2014
Weighted inequalities for Riemann-Liouville fractional integrals of order one and greater. Zbl 0704.42018
Martin-Reyes, F. J.; Sawyer, E.
1989
The corona theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in $$\mathbb C^{n}$$. Zbl 1264.32004
Costea, Şerban; Sawyer, Eric T.; Wick, Brett D.
2011
Two weight norm inequalities for certain maximal and integral operators. Zbl 0508.42024
Sawyer, Eric T.
1982
Bilinear forms on the Dirichlet space. Zbl 1262.30066
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D.
2010
A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure. Zbl 1279.42016
Lacey, Michael; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
2012
The Dirichlet space: a survey. Zbl 1233.30017
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D.
2011
A note on commutators of fractional integrals with $$\text{RBMO}(\mu)$$ functions. Zbl 1033.42008
Chen, Wengu; Sawyer, E.
2002
Weighted norm inequalities for operators of potential type and fractional maximal functions. Zbl 0873.42012
Sawyer, Eric T.; Wheeden, Richard L.; Zhao, Shiying
1996
Norm inequalities relating singular integrals and the maximal function. Zbl 0528.44002
Sawyer, Eric T.
1983
Oscillatory integrals and maximal averages over homogeneous surfaces. Zbl 0898.42004
Iosevich, Alex; Sawyer, Eric
1996
Weighted inequalities for the two-dimensional Hardy operator. Zbl 0585.42020
Sawyer, E.
1985
Degenerate Sobolev spaces and regularity of subelliptic equations. Zbl 1191.35085
Sawyer, Eric T.; Wheeden, Richard L.
2010
Carleson measures and interpolating sequences for Besov spaces on complex balls. Zbl 1112.46027
Arcozzi, N.; Rochberg, R.; Sawyer, E.
2006
Unique continuation for Schrödinger operators in dimension three or less. Zbl 0535.35007
Sawyer, Eric T.
1984
Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018
Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T.
2013
Regularity estimates for the oblique derivative problem. Zbl 0792.35039
Guan, Pengfei; Sawyer, Eric
1993
There exist $$6n/13$$ ordinary points. Zbl 0771.52003
Csima, J.; Sawyer, E. T.
1993
Para-accretive functions, the weak boundedness property and the Tb theorem. Zbl 0723.42005
Han, Y.-S.; Sawyer, E. T.
1990
A weighted weak type inequality for the maximal function. Zbl 0588.42013
Sawyer, E.
1985
Function spaces related to the Dirichlet space. Zbl 1232.30036
Arcozzi, N.; Rochberg, R.; Sawyer, E.; Wick, B. D.
2011
Weighted norm inequalities for fractional maximal operators. Zbl 0546.42018
Sawyer, Eric T.
1981
Astala’s conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane. Zbl 1211.30036
Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
2010
Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions. Zbl 1097.35035
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
On averaging operators associated with convex hypersurfaces of finite type. Zbl 0997.42009
Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas
1999
A two weight inequality for the Hilbert transform assuming an energy hypothesis. Zbl 1252.42018
Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
2012
Regularity of subelliptic Monge-Ampère equations in the plane. Zbl 1173.35470
Guan, Pengfei; Sawyer, Eric
2009
Regularity of subelliptic Monge-Ampère equations. Zbl 1140.35008
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2008
Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures. Zbl 0564.35027
Kerman, R.; Sawyer, E.
1985
Multipliers of Besov and power-weighted $$L^ 2$$ spaces. Zbl 0546.42011
Sawyer, Eric
1984
Potential theory on trees, graphs and Ahlfors-regular metric spaces. Zbl 1294.31004
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D.
2014
Mean square discrepancy bounds for the number of lattice points in large convex bodies. Zbl 1027.11074
Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas
2002
Sharp $$L^p-L^q$$ estimates for a class of averaging operators. Zbl 0898.42003
Iosevich, Alex; Sawyer, Eric
1996
Distance functions for reproducing kernel Hilbert spaces. Zbl 1236.46023
Arcozzi, N.; Rochberg, R.; Sawyer, E.; Wick, B. D.
2011
Two problems associated with convex finite type domains. Zbl 1012.42006
Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas
2002
Regularity estimates for the oblique derivative problem on non-smooth domains. I. Zbl 0841.35018
Guan, Pengfei; Sawyer, E.
1995
Convolution algebras with weighted rearrangement-invariant norm. Zbl 0838.46020
Kerman, R.; Sawyer, E.
1994
A two weight theorem for $$\alpha$$-fractional singular integrals with an energy side condition. Zbl 1344.42014
Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2016
Restricted convolution inequalities, multilinear operators and applications. Zbl 1287.42008
Geba, Dan-Andrei; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur; Sawyer, Eric
2013
Carleson conditions for the Poisson integral. Zbl 0748.42009
Sawyer, Eric; Wheeden, Richard L.
1991
A weighted inequality and eigenvalue estimates for Schrödinger operators. Zbl 0603.35072
Sawyer, Eric T.
1986
A good-$$\lambda$$ lemma, two weight $$T1$$ theorems without weak boundedness, and a two weight accretive global Tb theorem. Zbl 1380.42015
Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2017
A note on failure of energy reversal for classical fractional singular integrals. Zbl 1326.42022
Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2015
Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem. Zbl 1310.35081
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2013
Function theory. Interpolation and corona problems. Zbl 1160.30001
Sawyer, Eric T.
2009
A priori estimates for infinitely degenerate quasilinear equations. Zbl 1224.35149
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2008
Capacity, Carleson measures, boundary convergence, and exceptional sets. Zbl 1182.30099
Arcozzi, N.; Rochberg, R.; Sawyer, E.
2008
Mean lattice point discrepancy bounds. II: Convex domains in the plane. Zbl 1171.11052
Iosevich, Alexander; Sawyer, Eric T.; Seeger, Andreas
2007
On weighted norm inequalities for positive linear operators. Zbl 0673.47030
Kerman, R.; Sawyer, E.
1989
A two weight fractional singular integral theorem with side conditions, energy and $$k$$-energy dispersed. Zbl 1387.42013
Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2017
Two variations on the Drury-Arveson space. Zbl 1218.46015
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric
2010
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
Three problems motivated by the average decay of the Fourier transform. Zbl 1038.42020
Iosevich, Alexander; Sawyer, Eric
2003
A symbolic calculus for rough pseudodifferential operators. Zbl 0869.35118
Sawyer, Eric
1996
Good/irreducible inner functions on a polydisc. Zbl 0381.32007
Sawyer, Eric T.
1979
The Krzyż conjecture revisited. Zbl 1310.30045
Martín, María J.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio; Vukotić, Dragan
2015
The characterization of the Carleson measures for analytic Besov spaces: a simple proof. Zbl 1148.30028
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric
2007
The diameter space, a restriction of the Drury-Arveson-Hardy space. Zbl 1149.46023
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric
2007
The $$6n/13$$ theorem revisited. Zbl 0852.52003
Csima, J.; Sawyer, E. T.
1995
Families of plane curves having translates in a set of measure zero. Zbl 0623.28004
Sawyer, Eric
1987
The $$\theta$$-bump theorem for product fractional integrals. Zbl 1443.42009
Sawyer, Eric; Wang, Zipeng
2020
The Corona problem. Connections between operator theory, function theory, and geometry. Selected papers based on the workshop, Toronto, Canada, June 2012. Zbl 1297.30004
Douglas, Ronald G. (ed.); Krantz, Steven G. (ed.); Sawyer, Eric T. (ed.); Treil, Sergei (ed.); Wick, Brett D. (ed.)
2014
BMO estimates for the $$H^{\infty} (\mathbb B_n)$$ corona problem. Zbl 1192.32004
Costea, Şerban; Sawyer, Eric T.; Wick, Brett D.
2010
Smoothness of radial solutions to Monge-Ampère equations. Zbl 1175.35025
Rios, Cristian; Sawyer, Eric T.
2009
Endpoint estimates for commutators of singular integrals on spaces of homogeneous type. Zbl 1019.43005
Chen, Wengu; Sawyer, E.
2003
Regularity estimates for the oblique derivative problem on non-smooth domains. II. Zbl 0853.35141
Guan, Pengfei; Sawyer, E.
1996
Holomorphic functions with positive real part. Zbl 0502.32005
Sawyer, Eric
1982
The $$\theta$$-bump theorem for product fractional integrals. Zbl 1443.42009
Sawyer, Eric; Wang, Zipeng
2020
A good-$$\lambda$$ lemma, two weight $$T1$$ theorems without weak boundedness, and a two weight accretive global Tb theorem. Zbl 1380.42015
Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2017
A two weight fractional singular integral theorem with side conditions, energy and $$k$$-energy dispersed. Zbl 1387.42013
Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2017
A two weight theorem for $$\alpha$$-fractional singular integrals with an energy side condition. Zbl 1344.42014
Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2016
A note on failure of energy reversal for classical fractional singular integrals. Zbl 1326.42022
Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2015
The Krzyż conjecture revisited. Zbl 1310.30045
Martín, María J.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio; Vukotić, Dragan
2015
Two-weight inequality for the Hilbert transform: a real variable characterization. I. Zbl 1312.42011
Lacey, Michael T.; Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio
2014
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026
Han, Yongsheng; Lu, Guozhen; Sawyer, Eric
2014
Potential theory on trees, graphs and Ahlfors-regular metric spaces. Zbl 1294.31004
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D.
2014
The Corona problem. Connections between operator theory, function theory, and geometry. Selected papers based on the workshop, Toronto, Canada, June 2012. Zbl 1297.30004
Douglas, Ronald G. (ed.); Krantz, Steven G. (ed.); Sawyer, Eric T. (ed.); Treil, Sergei (ed.); Wick, Brett D. (ed.)
2014
Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018
Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T.
2013
Restricted convolution inequalities, multilinear operators and applications. Zbl 1287.42008
Geba, Dan-Andrei; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur; Sawyer, Eric
2013
Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem. Zbl 1310.35081
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2013
Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on $$A_p$$ weighted spaces. Zbl 1278.42025
Hytönen, Tuomas P.; Lacey, Michael T.; Martikainen, Henri; Orponen, Tuomas; Reguera, Maria Carmen; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
2012
A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure. Zbl 1279.42016
Lacey, Michael; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
2012
A two weight inequality for the Hilbert transform assuming an energy hypothesis. Zbl 1252.42018
Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
2012
The corona theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in $$\mathbb C^{n}$$. Zbl 1264.32004
Costea, Şerban; Sawyer, Eric T.; Wick, Brett D.
2011
The Dirichlet space: a survey. Zbl 1233.30017
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D.
2011
Function spaces related to the Dirichlet space. Zbl 1232.30036
Arcozzi, N.; Rochberg, R.; Sawyer, E.; Wick, B. D.
2011
Distance functions for reproducing kernel Hilbert spaces. Zbl 1236.46023
Arcozzi, N.; Rochberg, R.; Sawyer, E.; Wick, B. D.
2011
Bilinear forms on the Dirichlet space. Zbl 1262.30066
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D.
2010
Degenerate Sobolev spaces and regularity of subelliptic equations. Zbl 1191.35085
Sawyer, Eric T.; Wheeden, Richard L.
2010
Astala’s conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane. Zbl 1211.30036
Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio
2010
Two variations on the Drury-Arveson space. Zbl 1218.46015
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric
2010
BMO estimates for the $$H^{\infty} (\mathbb B_n)$$ corona problem. Zbl 1192.32004
Costea, Şerban; Sawyer, Eric T.; Wick, Brett D.
2010
Regularity of subelliptic Monge-Ampère equations in the plane. Zbl 1173.35470
Guan, Pengfei; Sawyer, Eric
2009
Function theory. Interpolation and corona problems. Zbl 1160.30001
Sawyer, Eric T.
2009
Smoothness of radial solutions to Monge-Ampère equations. Zbl 1175.35025
Rios, Cristian; Sawyer, Eric T.
2009
Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls. Zbl 1167.32003
Arcozzi, N.; Rochberg, R.; Sawyer, E.
2008
Regularity of subelliptic Monge-Ampère equations. Zbl 1140.35008
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2008
A priori estimates for infinitely degenerate quasilinear equations. Zbl 1224.35149
Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L.
2008
Capacity, Carleson measures, boundary convergence, and exceptional sets. Zbl 1182.30099
Arcozzi, N.; Rochberg, R.; Sawyer, E.
2008
Mean lattice point discrepancy bounds. II: Convex domains in the plane. Zbl 1171.11052
Iosevich, Alexander; Sawyer, Eric T.; Seeger, Andreas
2007
The characterization of the Carleson measures for analytic Besov spaces: a simple proof. Zbl 1148.30028
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric
2007
The diameter space, a restriction of the Drury-Arveson-Hardy space. Zbl 1149.46023
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric
2007
Hölder continuity of weak solutions to subelliptic equations with rough coefficients. Zbl 1096.35031
Sawyer, Eric T.; Wheeden, Richard L.
2006
Carleson measures and interpolating sequences for Besov spaces on complex balls. Zbl 1112.46027
Arcozzi, N.; Rochberg, R.; Sawyer, E.
2006
Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions. Zbl 1097.35035
Sawyer, Eric T.; 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
Three problems motivated by the average decay of the Fourier transform. Zbl 1038.42020
Iosevich, Alexander; Sawyer, Eric
2003
Endpoint estimates for commutators of singular integrals on spaces of homogeneous type. Zbl 1019.43005
Chen, Wengu; Sawyer, E.
2003
Carleson measures for analytic Besov spaces. Zbl 1059.30051
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric
2002
A note on commutators of fractional integrals with $$\text{RBMO}(\mu)$$ functions. Zbl 1033.42008
Chen, Wengu; Sawyer, E.
2002
Mean square discrepancy bounds for the number of lattice points in large convex bodies. Zbl 1027.11074
Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas
2002
Two problems associated with convex finite type domains. Zbl 1012.42006
Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas
2002
On averaging operators associated with convex hypersurfaces of finite type. Zbl 0997.42009
Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas
1999
Maximal averages over surfaces. Zbl 0921.42015
Iosevich, A.; Sawyer, E.
1997
Weighted norm inequalities for operators of potential type and fractional maximal functions. Zbl 0873.42012
Sawyer, Eric T.; Wheeden, Richard L.; Zhao, Shiying
1996
Oscillatory integrals and maximal averages over homogeneous surfaces. Zbl 0898.42004
Iosevich, Alex; Sawyer, Eric
1996
Sharp $$L^p-L^q$$ estimates for a class of averaging operators. Zbl 0898.42003
Iosevich, Alex; Sawyer, Eric
1996
A symbolic calculus for rough pseudodifferential operators. Zbl 0869.35118
Sawyer, Eric
1996
Regularity estimates for the oblique derivative problem on non-smooth domains. II. Zbl 0853.35141
Guan, Pengfei; Sawyer, E.
1996
Regularity estimates for the oblique derivative problem on non-smooth domains. I. Zbl 0841.35018
Guan, Pengfei; Sawyer, E.
1995
The $$6n/13$$ theorem revisited. Zbl 0852.52003
Csima, J.; Sawyer, E. T.
1995
Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces. Zbl 0806.42013
Han, Y. S.; Sawyer, E. T.
1994
Convolution algebras with weighted rearrangement-invariant norm. Zbl 0838.46020
Kerman, R.; Sawyer, E.
1994
Regularity estimates for the oblique derivative problem. Zbl 0792.35039
Guan, Pengfei; Sawyer, Eric
1993
There exist $$6n/13$$ ordinary points. Zbl 0771.52003
Csima, J.; Sawyer, E. T.
1993
Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces. Zbl 0783.42011
Sawyer, E.; Wheeden, R. L.
1992
Carleson conditions for the Poisson integral. Zbl 0748.42009
Sawyer, Eric; Wheeden, Richard L.
1991
Boundedness of classical operators on classical Lorentz spaces. Zbl 0705.42014
Sawyer, E.
1990
Unique continuation for $$\Delta +v$$ and the C. Fefferman-Phong class. Zbl 0702.35034
Chanillo, Sagun; Sawyer, Eric
1990
Para-accretive functions, the weak boundedness property and the Tb theorem. Zbl 0723.42005
Han, Y.-S.; Sawyer, E. T.
1990
Weighted inequalities for Riemann-Liouville fractional integrals of order one and greater. Zbl 0704.42018
Martin-Reyes, F. J.; Sawyer, E.
1989
On weighted norm inequalities for positive linear operators. Zbl 0673.47030
Kerman, R.; Sawyer, E.
1989
A characterization of two weight norm inequalities for fractional and Poisson integrals. Zbl 0665.42023
Sawyer, Eric T.
1988
Weighted norm inequalities for the Riemann-Liouville and Weyl fractional integral operators. Zbl 0664.26002
Andersen, K. F.; Sawyer, E. T.
1988
Carleson measures and multipliers of Dirichlet-type spaces. Zbl 0657.31019
Kerman, Ron; Sawyer, Eric
1988
Families of plane curves having translates in a set of measure zero. Zbl 0623.28004
Sawyer, Eric
1987
The trace inequality and eigenvalue estimates for Schrödinger operators. Zbl 0591.47037
Kerman, R.; Sawyer, E.
1986
Weighted inequalities for the one-sided Hardy-Littlewood maximal functions. Zbl 0627.42009
Sawyer, E.
1986
A weighted inequality and eigenvalue estimates for Schrödinger operators. Zbl 0603.35072
Sawyer, Eric T.
1986
Embedding and multiplier theorems for $$H^ p({\mathbb{R}}^ n)$$. Zbl 0566.42013
Baernstein, A.; Sawyer, E. T.
1985
Weighted inequalities for the two-dimensional Hardy operator. Zbl 0585.42020
Sawyer, E.
1985
A weighted weak type inequality for the maximal function. Zbl 0588.42013
Sawyer, E.
1985
Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures. Zbl 0564.35027
Kerman, R.; Sawyer, E.
1985
Weighted Lebesgue and Lorentz norm inequalities for the Hardy operator. Zbl 0538.47020
Sawyer, Eric
1984
A two weight weak type inequality for fractional integrals. Zbl 0539.42008
Sawyer, Eric
1984
Unique continuation for Schrödinger operators in dimension three or less. Zbl 0535.35007
Sawyer, Eric T.
1984
Multipliers of Besov and power-weighted $$L^ 2$$ spaces. Zbl 0546.42011
Sawyer, Eric
1984
Norm inequalities relating singular integrals and the maximal function. Zbl 0528.44002
Sawyer, Eric T.
1983
A characterization of a two-weight norm inequality for maximal operators. Zbl 0508.42023
Sawyer, Eric T.
1982
Two weight norm inequalities for certain maximal and integral operators. Zbl 0508.42024
Sawyer, Eric T.
1982
Holomorphic functions with positive real part. Zbl 0502.32005
Sawyer, Eric
1982
Weighted norm inequalities for fractional maximal operators. Zbl 0546.42018
Sawyer, Eric T.
1981
Good/irreducible inner functions on a polydisc. Zbl 0381.32007
Sawyer, Eric T.
1979
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#### Cited by 1,063 Authors

 40 Sawyer, Eric T. 24 Lu, Guozhen 22 Stepanov, Vladimir Dmitrievich 20 Wheeden, Richard Lee 19 Gogatishvili, Amiran 19 Han, Yongsheng 18 Wick, Brett D. 18 Yang, Dachun 17 Meskhi, Alexander 15 Cruz-Uribe, David Vincente 15 Pérez, Carlos E. 15 Tanaka, Hitoshi 14 Kokilashvili, Vakhtang Mikhailovich 14 Lacey, Michael T. 14 Li, Ji 13 Li, Kangwei 13 Soria, Javier 13 Verbitsky, Igor E. 12 Cascante, Carme 12 Ortega, Joaquin Ma. 12 Pick, Luboš 11 Lin, Chincheng 11 Peláez, José Ángel 11 Seo, Ihyeok 10 Martín-Reyes, Francisco Javier 10 Moen, Kabe 10 Persson, Lars-Erik 9 Carro, María Jesús 9 Ding, Wei 9 Han, Yanchang 9 Kerman, Ron 9 Lu, Shanzhen 9 Mamedov, Farman Imran 9 Rakotondratsimba, Yves 9 Uriarte-Tuero, Ignacio 9 Volberg, Alexander Lvovich 8 Chen, Jiecheng 8 Chua, Seng-Kee 8 Cianchi, Andrea 8 de la Torre, Alberto Clemente 8 Edmunds, David Eric 8 Gol’dman, Mikhail L’vovich 8 Iosevich, Alex 8 Lee, Ming-Yi 8 Lerner, Andrei K. 8 Ombrosi, Sheldy Javier 8 Shi, Shaoguang 7 Arcozzi, Nicola 7 Bernardis, Ana L. 7 Boza, Santiago 7 Fu, Zunwei 7 Greenblatt, Michael 7 Hytönen, Tuomas P. 7 Ikromov, Isroil A. 7 Li, Hongliang 7 Liu, Zongguang 7 Martell, José María (Chema) 7 Prokhorov, Dmitriĭ Vladimirovich 7 Shambilova, Guldarya Ermakovna 7 Shen, Chun-Yen 6 Chen, Jiao 6 Girela, Daniel 6 Lorente, María 6 Maligranda, Lech 6 Maz’ya, Vladimir Gilelevich 6 Pau, Jordi 6 Pradolini, Gladis G. 6 Rahm, Robert 6 Rios, Cristian 6 Riveros, María Silvina 6 Rochberg, Richard 6 Rodney, Scott 6 Sawano, Yoshihiro 6 Seeger, Andreas 6 Torrea, José Luis 6 Vasil’eva, Anastasiya Andreevna 6 Xue, Qingying 5 Aimar, Hugo A. 5 Chen, Lu 5 Fàbrega, Joan 5 Fang, Quanlei 5 Franchi, Bruno 5 Kamińska, Anna 5 Krbec, Miroslav 5 Li, Songxiao 5 Liao, Fanghui 5 Lin, Haibo 5 Liu, Liguang 5 Müller, Detlef 5 Opic, Bohumír 5 Palagachev, Dian K. 5 Rättyä, Jouni 5 Richter, Stefan 5 Rigot, Séverine 5 Rivera-Ríos, Israel P. 5 Ruiz, Alberto 5 Shen, Zhongwei 5 Slavíková, Lenka 5 Tikhonov, Sergey Yur’evich 5 Tolsa, Xavier ...and 963 more Authors
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#### Cited in 193 Serials

 73 Journal of Mathematical Analysis and Applications 69 Journal of Functional Analysis 61 Proceedings of the American Mathematical Society 54 Transactions of the American Mathematical Society 34 The Journal of Geometric Analysis 27 Advances in Mathematics 23 Mathematische Nachrichten 23 Acta Mathematica Sinica. English Series 22 Journal d’Analyse Mathématique 22 Potential Analysis 21 The Journal of Fourier Analysis and Applications 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Integral Equations and Operator Theory 16 Journal of Function Spaces 13 Journal of Differential Equations 12 Georgian Mathematical Journal 12 Journal of Inequalities and Applications 12 Science China. Mathematics 11 Israel Journal of Mathematics 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Duke Mathematical Journal 11 Mathematische Zeitschrift 11 Forum Mathematicum 11 Doklady Mathematics 11 Complex Analysis and Operator Theory 10 Mathematical Notes 10 Studia Mathematica 10 Mathematische Annalen 10 Communications in Partial Differential Equations 9 Zeitschrift für Analysis und ihre Anwendungen 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Abstract and Applied Analysis 9 Journal of Function Spaces and Applications 8 Arkiv för Matematik 8 Annales de l’Institut Fourier 8 Archiv der Mathematik 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Discrete & Computational Geometry 8 Calculus of Variations and Partial Differential Equations 8 Concrete Operators 7 Analysis Mathematica 7 Journal of Approximation Theory 7 Siberian Mathematical Journal 7 Revista Matemática Iberoamericana 7 Bulletin des Sciences Mathématiques 7 Positivity 6 Rocky Mountain Journal of Mathematics 6 Tohoku Mathematical Journal. Second Series 6 Integral Transforms and Special Functions 6 Discrete and Continuous Dynamical Systems 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Pseudo-Differential Operators and Applications 5 Collectanea Mathematica 5 Publicacions Matemàtiques 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 St. Petersburg Mathematical Journal 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Journal of the Australian Mathematical Society 5 Banach Journal of Mathematical Analysis 5 Eurasian Mathematical Journal 4 Communications on Pure and Applied Mathematics 4 Canadian Mathematical Bulletin 4 Journal of the Mathematical Society of Japan 4 Monatshefte für Mathematik 4 Proceedings of the Japan Academy. Series A 4 Chinese Annals of Mathematics. Series B 4 Science in China. Series A 4 Bulletin of the American Mathematical Society. New Series 4 Russian Journal of Mathematical Physics 4 Taiwanese Journal of Mathematics 4 Analysis in Theory and Applications 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Mathematical Inequalities 3 Applicable Analysis 3 Chaos, Solitons and Fractals 3 Acta Mathematica 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Czechoslovak Mathematical Journal 3 Functional Analysis and its Applications 3 Illinois Journal of Mathematics 3 Indiana University Mathematics Journal 3 Mathematika 3 Metroeconomica 3 Michigan Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Acta Mathematica Hungarica 3 Linear Algebra and its Applications 3 Expositiones Mathematicae 3 Indagationes Mathematicae. New Series 3 Applied and Computational Harmonic Analysis 3 Journal of Mathematical Sciences (New York) 3 Mathematical Inequalities & Applications 3 Fractional Calculus & Applied Analysis 3 Revista Matemática Complutense 3 Communications on Pure and Applied Analysis 3 Mediterranean Journal of Mathematics 3 Complex Variables and Elliptic Equations 3 Analysis and Mathematical Physics 3 Analysis and Geometry in Metric Spaces 3 Open Mathematics ...and 93 more Serials
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#### Cited in 41 Fields

 567 Harmonic analysis on Euclidean spaces (42-XX) 331 Functional analysis (46-XX) 280 Operator theory (47-XX) 187 Partial differential equations (35-XX) 152 Real functions (26-XX) 106 Functions of a complex variable (30-XX) 48 Potential theory (31-XX) 47 Abstract harmonic analysis (43-XX) 45 Several complex variables and analytic spaces (32-XX) 27 Measure and integration (28-XX) 22 Probability theory and stochastic processes (60-XX) 19 Number theory (11-XX) 19 Integral transforms, operational calculus (44-XX) 18 Integral equations (45-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Topological groups, Lie groups (22-XX) 14 Convex and discrete geometry (52-XX) 14 Differential geometry (53-XX) 13 Approximations and expansions (41-XX) 12 Combinatorics (05-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Ordinary differential equations (34-XX) 10 Fluid mechanics (76-XX) 9 Quantum theory (81-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Geometry (51-XX) 6 Numerical analysis (65-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)