Edit Profile (opens in new tab) Sawyer, Eric T. Compute Distance To: Compute Author ID: sawyer.eric-t Published as: Sawyer, Eric T.; Sawyer, Eric; Sawyer, E.; Sawyer, E. T. more...less External Links: MGP Documents Indexed: 112 Publications since 1979, including 7 Books 3 Contributions as Editor Co-Authors: 56 Co-Authors with 94 Joint Publications 1,354 Co-Co-Authors all top 5 Co-Authors 21 single-authored 15 Uriarte-Tuero, Ignacio 15 Wick, Brett Duane 14 Arcozzi, Nicola 14 Rochberg, Richard 11 Wheeden, Richard Lee 10 Iosevich, Alex 8 Shen, Chun-Yen 6 Rios, Cristian 5 Guan, Pengfei 5 Kerman, Ron 5 Lacey, Michael T. 4 Chanillo, Sagun 4 Han, Yongsheng 4 Korobenko, Lyudmila 4 Seeger, Andreas 3 Franchi, Bruno 3 Lu, Guozhen 3 Reguera, Maria Carmen 2 Chen, Wengu 2 Costea, Şerban 2 Csima, Judit 2 Douglas, Ronald George 2 Hytönen, Tuomas P. 2 Krantz, Steven George 2 Pott, Sandra 2 Treil, Sergei 2 Wang, Zipeng 1 Andersen, Kenneth F. 1 Baernstein, Albert II 1 Bern, Zvi 1 Bickel, Kelly 1 Duong, Xuan Thinh 1 Geba, Dan-Andrei 1 Greenleaf, Allan 1 Kenig, Carlos Eduardo 1 Li, Ji 1 Li, Kangwei 1 Lin, Chincheng 1 Martikainen, Henri 1 Martín-Reyes, Francisco Javier 1 Martín, María J. 1 Orponen, Tuomas 1 Palsson, Eyvindur Ari 1 Parra-Martinez, Julio 1 Pérez, Carlos 1 Rahm, Robert 1 Roiban, Radu 1 Ruan, Zhuoping 1 Shen, Chia-Hsien 1 Shen, Ruipeng 1 Taylor, Krystal 1 Vempati, Manasa N. 1 Vukotić, Dragan 1 Wicks, Brett D. 1 Yang, Dongyong 1 Zhao, Shiying all top 5 Serials 9 Transactions of the American Mathematical Society 8 Journal d’Analyse Mathématique 7 Studia Mathematica 6 Advances in Mathematics 5 Journal of Functional Analysis 5 Memoirs of the American Mathematical Society 5 Revista Matemática Iberoamericana 4 Annales de l’Institut Fourier 4 Indiana University Mathematics Journal 4 Proceedings of the American Mathematical Society 4 Analysis & PDE 3 Potential Analysis 2 Duke Mathematical Journal 2 Chinese Annals of Mathematics. Series B 2 IMRN. International Mathematics Research Notices 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 Mathematische Zeitschrift 1 Mathematika 1 Real Analysis Exchange 1 Discrete & Computational Geometry 1 Publicacions Matemàtiques 1 Differential and Integral Equations 1 The Journal of Geometric Analysis 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 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 Journal of High Energy Physics 1 Fields Institute Communications 1 Fields Institute Monographs 1 Mathematical Surveys and Monographs 1 Applied and Numerical Harmonic Analysis 1 Annales Fennici Mathematici all top 5 Fields 58 Harmonic analysis on Euclidean spaces (42-XX) 28 Partial differential equations (35-XX) 24 Functional analysis (46-XX) 20 Operator theory (47-XX) 15 Functions of a complex variable (30-XX) 14 Several complex variables and analytic spaces (32-XX) 6 Real functions (26-XX) 4 Number theory (11-XX) 4 Potential theory (31-XX) 4 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Convex and discrete geometry (52-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 2,054 times in 1,380 Documents Cited by ▼ Year ▼ Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces. Zbl 0783.42011Sawyer, E.; Wheeden, R. L. 224 1992 A characterization of a two-weight norm inequality for maximal operators. Zbl 0508.42023Sawyer, Eric T. 159 1982 Boundedness of classical operators on classical Lorentz spaces. Zbl 0705.42014Sawyer, E. 137 1990 A characterization of two weight norm inequalities for fractional and Poisson integrals. Zbl 0665.42023Sawyer, Eric T. 89 1988 Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces. Zbl 0806.42013Han, Y. S.; Sawyer, E. T. 75 1994 Carleson measures for analytic Besov spaces. Zbl 1059.30051Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric 61 2002 The trace inequality and eigenvalue estimates for Schrödinger operators. Zbl 0591.47037Kerman, R.; Sawyer, E. 60 1986 Weighted inequalities for the one-sided Hardy-Littlewood maximal functions. Zbl 0627.42009Sawyer, E. 54 1986 Two-weight inequality for the Hilbert transform: a real variable characterization. I. Zbl 1312.42011Lacey, Michael T.; Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 54 2014 Weighted norm inequalities for the Riemann-Liouville and Weyl fractional integral operators. Zbl 0664.26002Andersen, K. F.; Sawyer, E. T. 53 1988 Weighted Lebesgue and Lorentz norm inequalities for the Hardy operator. Zbl 0538.47020Sawyer, Eric 38 1984 Embedding and multiplier theorems for \(H^ p({\mathbb{R}}^ n)\). Zbl 0566.42013Baernstein, A.; Sawyer, E. T. 38 1985 Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls. Zbl 1167.32003Arcozzi, N.; Rochberg, R.; Sawyer, E. 37 2008 A two weight weak type inequality for fractional integrals. Zbl 0539.42008Sawyer, Eric 36 1984 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 34 2014 Unique continuation for \(\Delta +v\) and the C. Fefferman-Phong class. Zbl 0702.35034Chanillo, Sagun; Sawyer, Eric 31 1990 Maximal averages over surfaces. Zbl 0921.42015Iosevich, A.; Sawyer, E. 31 1997 Hölder continuity of weak solutions to subelliptic equations with rough coefficients. Zbl 1096.35031Sawyer, Eric T.; Wheeden, Richard L. 30 2006 A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure. Zbl 1279.42016Lacey, Michael; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 30 2012 Carleson measures and multipliers of Dirichlet-type spaces. Zbl 0657.31019Kerman, Ron; Sawyer, Eric 29 1988 Bilinear forms on the Dirichlet space. Zbl 1262.30066Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D. 27 2010 Weighted inequalities for the two-dimensional Hardy operator. Zbl 0585.42020Sawyer, E. 26 1985 Weighted inequalities for Riemann-Liouville fractional integrals of order one and greater. Zbl 0704.42018Martin-Reyes, F. J.; Sawyer, E. 25 1989 A two weight theorem for \(\alpha\)-fractional singular integrals with an energy side condition. Zbl 1344.42014Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 24 2016 The corona theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in \(\mathbb C^{n}\). Zbl 1264.32004Costea, Şerban; Sawyer, Eric T.; Wick, Brett D. 24 2011 Norm inequalities relating singular integrals and the maximal function. Zbl 0528.44002Sawyer, Eric T. 23 1983 Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on \(A_p\) weighted spaces. Zbl 1278.42025Hytönen, Tuomas P.; Lacey, Michael T.; Martikainen, Henri; Orponen, Tuomas; Reguera, Maria Carmen; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 23 2012 The Dirichlet space: a survey. Zbl 1233.30017Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D. 23 2011 A note on commutators of fractional integrals with \(\text{RBMO}(\mu)\) functions. Zbl 1033.42008Chen, Wengu; Sawyer, E. 21 2002 Oscillatory integrals and maximal averages over homogeneous surfaces. Zbl 0898.42004Iosevich, Alex; Sawyer, Eric 20 1996 Weighted norm inequalities for operators of potential type and fractional maximal functions. Zbl 0873.42012Sawyer, Eric T.; Wheeden, Richard L.; Zhao, Shiying 20 1996 Degenerate Sobolev spaces and regularity of subelliptic equations. Zbl 1191.35085Sawyer, Eric T.; Wheeden, Richard L. 19 2010 Carleson measures and interpolating sequences for Besov spaces on complex balls. Zbl 1112.46027Arcozzi, N.; Rochberg, R.; Sawyer, E. 19 2006 Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T. 19 2013 A weighted weak type inequality for the maximal function. Zbl 0588.42013Sawyer, E. 18 1985 On averaging operators associated with convex hypersurfaces of finite type. Zbl 0997.42009Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas 18 1999 Para-accretive functions, the weak boundedness property and the Tb theorem. Zbl 0723.42005Han, Y.-S.; Sawyer, E. T. 18 1990 Two weight norm inequalities for certain maximal and integral operators. Zbl 0508.42024Sawyer, Eric T. 17 1982 There exist \(6n/13\) ordinary points. Zbl 0771.52003Csima, J.; Sawyer, E. T. 16 1993 Leading nonlinear tidal effects and scattering amplitudes. Zbl 1466.81133Bern, Zvi; Parra-Martinez, Julio; Roiban, Radu; Sawyer, Eric; Shen, Chia-Hsien 16 2021 Unique continuation for Schrödinger operators in dimension three or less. Zbl 0535.35007Sawyer, Eric T. 14 1984 Regularity estimates for the oblique derivative problem. Zbl 0792.35039Guan, Pengfei; Sawyer, Eric 14 1993 Function spaces related to the Dirichlet space. Zbl 1232.30036Arcozzi, N.; Rochberg, R.; Sawyer, E.; Wick, B. D. 13 2011 Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions. Zbl 1097.35035Sawyer, Eric T.; Wheeden, Richard L. 12 2006 A two weight inequality for the Hilbert transform assuming an energy hypothesis. Zbl 1252.42018Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 12 2012 Potential theory on trees, graphs and Ahlfors-regular metric spaces. Zbl 1294.31004Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D. 12 2014 A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations. Zbl 1072.35052Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L. 11 2005 Multipliers of Besov and power-weighted \(L^ 2\) spaces. Zbl 0546.42011Sawyer, Eric 10 1984 Weighted norm inequalities for fractional maximal operators. Zbl 0546.42018Sawyer, Eric T. 10 1981 Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures. Zbl 0564.35027Kerman, R.; Sawyer, E. 10 1985 Astala’s conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane. Zbl 1211.30036Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 10 2010 Regularity of subelliptic Monge-Ampère equations. Zbl 1140.35008Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L. 10 2008 The Krzyż conjecture revisited. Zbl 1310.30045Martín, María J.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio; Vukotić, Dragan 9 2015 Regularity of subelliptic Monge-Ampère equations in the plane. Zbl 1173.35470Guan, Pengfei; Sawyer, Eric 9 2009 Distance functions for reproducing kernel Hilbert spaces. Zbl 1236.46023Arcozzi, N.; Rochberg, R.; Sawyer, E.; Wick, B. D. 9 2011 Convolution algebras with weighted rearrangement-invariant norm. Zbl 0838.46020Kerman, R.; Sawyer, E. 9 1994 Mean square discrepancy bounds for the number of lattice points in large convex bodies. Zbl 1027.11074Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas 9 2002 Restricted convolution inequalities, multilinear operators and applications. Zbl 1287.42008Geba, Dan-Andrei; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur; Sawyer, Eric 9 2013 Two problems associated with convex finite type domains. Zbl 1012.42006Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas 8 2002 Sharp \(L^p-L^q\) estimates for a class of averaging operators. Zbl 0898.42003Iosevich, Alex; Sawyer, Eric 8 1996 A two weight fractional singular integral theorem with side conditions, energy and \( k\)-energy dispersed. Zbl 1387.42013Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 7 2017 The Dirichlet space and related function spaces. Zbl 1450.30002Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D. 7 2019 A note on failure of energy reversal for classical fractional singular integrals. Zbl 1326.42022Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 7 2015 Local boundedness, maximum principles, and continuity of solutions to infinitely degenerate elliptic equations with rough coefficients. Zbl 1494.35001Korobenko, Lyudmila; Rios, Cristian; Sawyer, Eric; Shen, Ruipeng 6 2021 Regularity estimates for the oblique derivative problem on non-smooth domains. I. Zbl 0841.35018Guan, Pengfei; Sawyer, E. 6 1995 Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem. Zbl 1310.35081Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L. 6 2013 A good-\(\lambda\) lemma, two weight \(T1\) theorems without weak boundedness, and a two weight accretive global Tb theorem. Zbl 1380.42015Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 6 2017 A weighted inequality and eigenvalue estimates for Schrödinger operators. Zbl 0603.35072Sawyer, Eric T. 5 1986 A priori estimates for infinitely degenerate quasilinear equations. Zbl 1224.35149Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L. 5 2008 Carleson conditions for the Poisson integral. Zbl 0748.42009Sawyer, Eric; Wheeden, Richard L. 5 1991 Function theory. Interpolation and corona problems. Zbl 1160.30001Sawyer, Eric T. 5 2009 Mean lattice point discrepancy bounds. II: Convex domains in the plane. Zbl 1171.11052Iosevich, Alexander; Sawyer, Eric T.; Seeger, Andreas 5 2007 A two weight local \(Tb\) theorem for the Hilbert transform. Zbl 1465.42021Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 4 2021 Good/irreducible inner functions on a polydisc. Zbl 0381.32007Sawyer, Eric T. 4 1979 On weighted norm inequalities for positive linear operators. Zbl 0673.47030Kerman, R.; Sawyer, E. 4 1989 Two variations on the Drury-Arveson space. Zbl 1218.46015Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric 4 2010 Capacity, Carleson measures, boundary convergence, and exceptional sets. Zbl 1182.30099Arcozzi, N.; Rochberg, R.; Sawyer, E. 4 2008 A priori estimates for quasilinear equations related to the Monge-Ampère equation in two dimensions. Zbl 1260.35052Sawyer, Eric T.; Wheeden, Richard L. 4 2006 Three problems motivated by the average decay of the Fourier transform. Zbl 1038.42020Iosevich, Alexander; Sawyer, Eric 3 2003 A symbolic calculus for rough pseudodifferential operators. Zbl 0869.35118Sawyer, Eric 3 1996 Maximal operators: scales, curvature and the fractal dimension. Zbl 1438.11108Iosevich, A.; Krause, B.; Sawyer, E.; Taylor, K.; Uriarte-Tuero, I. 3 2019 Families of plane curves having translates in a set of measure zero. Zbl 0623.28004Sawyer, Eric 2 1987 The \(6n/13\) theorem revisited. Zbl 0852.52003Csima, J.; Sawyer, E. T. 2 1995 Weighted Alpert wavelets. Zbl 1478.42037Rahm, Rob; Sawyer, Eric T.; Wick, Brett D. 2 2021 The \(\theta \)-bump theorem for product fractional integrals. Zbl 1443.42009Sawyer, Eric; Wang, Zipeng 2 2020 The product Stein-Weiss theorem. Zbl 1453.42022Sawyer, Eric T.; Wang, Zipeng 2 2021 The characterization of the Carleson measures for analytic Besov spaces: a simple proof. Zbl 1148.30028Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric 2 2007 The diameter space, a restriction of the Drury-Arveson-Hardy space. Zbl 1149.46023Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric 2 2007 Holomorphic functions with positive real part. Zbl 0502.32005Sawyer, Eric 1 1982 Regularity estimates for the oblique derivative problem on non-smooth domains. II. Zbl 0853.35141Guan, Pengfei; Sawyer, E. 1 1996 Smoothness of radial solutions to Monge-Ampère equations. Zbl 1175.35025Rios, Cristian; Sawyer, Eric T. 1 2009 BMO estimates for the \(H^{\infty} (\mathbb B_n)\) corona problem. Zbl 1192.32004Costea, Şerban; Sawyer, Eric T.; Wick, Brett D. 1 2010 Endpoint estimates for commutators of singular integrals on spaces of homogeneous type. Zbl 1019.43005Chen, Wengu; Sawyer, E. 1 2003 Restricted testing for positive operators. Zbl 1482.42048Hytönen, Tuomas; Li, Kangwei; Sawyer, Eric 1 2021 A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications. Zbl 07395036Duong, Xuan Thinh; Li, Ji; Sawyer, Eric T.; Vempati, Manasa N.; Wick, Brett D.; Yang, Dongyong 1 2021 Control of the bilinear indicator cube testing property. Zbl 1472.42023Sawyer, Eric T.; Uriarte-Tuero, Ignacio 1 2021 Energy counterexamples in two weight Calderón-Zygmund theory. Zbl 1485.42033Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 1 2021 Sums of squares. I: Scalar functions. Zbl 07646944Korobenko, Lyudmila; Sawyer, Eric 1 2023 A \(T1\) theorem for general Calderón-Zygmund operators with comparable doubling weights, and optimal cancellation conditions. Zbl 07572388Sawyer, Eric T. 1 2022 The Corona problem. Connections between operator theory, function theory, and geometry. Selected papers based on the workshop, Toronto, Canada, June 2012. Zbl 1297.30004 1 2014 Sums of squares. I: Scalar functions. Zbl 07646944Korobenko, Lyudmila; Sawyer, Eric 1 2023 A \(T1\) theorem for general Calderón-Zygmund operators with comparable doubling weights, and optimal cancellation conditions. Zbl 07572388Sawyer, Eric T. 1 2022 Leading nonlinear tidal effects and scattering amplitudes. Zbl 1466.81133Bern, Zvi; Parra-Martinez, Julio; Roiban, Radu; Sawyer, Eric; Shen, Chia-Hsien 16 2021 Local boundedness, maximum principles, and continuity of solutions to infinitely degenerate elliptic equations with rough coefficients. Zbl 1494.35001Korobenko, Lyudmila; Rios, Cristian; Sawyer, Eric; Shen, Ruipeng 6 2021 A two weight local \(Tb\) theorem for the Hilbert transform. Zbl 1465.42021Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 4 2021 Weighted Alpert wavelets. Zbl 1478.42037Rahm, Rob; Sawyer, Eric T.; Wick, Brett D. 2 2021 The product Stein-Weiss theorem. Zbl 1453.42022Sawyer, Eric T.; Wang, Zipeng 2 2021 Restricted testing for positive operators. Zbl 1482.42048Hytönen, Tuomas; Li, Kangwei; Sawyer, Eric 1 2021 A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications. Zbl 07395036Duong, Xuan Thinh; Li, Ji; Sawyer, Eric T.; Vempati, Manasa N.; Wick, Brett D.; Yang, Dongyong 1 2021 Control of the bilinear indicator cube testing property. Zbl 1472.42023Sawyer, Eric T.; Uriarte-Tuero, Ignacio 1 2021 Energy counterexamples in two weight Calderón-Zygmund theory. Zbl 1485.42033Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 1 2021 The \(\theta \)-bump theorem for product fractional integrals. Zbl 1443.42009Sawyer, Eric; Wang, Zipeng 2 2020 The Dirichlet space and related function spaces. Zbl 1450.30002Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D. 7 2019 Maximal operators: scales, curvature and the fractal dimension. Zbl 1438.11108Iosevich, A.; Krause, B.; Sawyer, E.; Taylor, K.; Uriarte-Tuero, I. 3 2019 A two weight fractional singular integral theorem with side conditions, energy and \( k\)-energy dispersed. Zbl 1387.42013Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 7 2017 A good-\(\lambda\) lemma, two weight \(T1\) theorems without weak boundedness, and a two weight accretive global Tb theorem. Zbl 1380.42015Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 6 2017 A two weight theorem for \(\alpha\)-fractional singular integrals with an energy side condition. Zbl 1344.42014Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 24 2016 The Krzyż conjecture revisited. Zbl 1310.30045Martín, María J.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio; Vukotić, Dragan 9 2015 A note on failure of energy reversal for classical fractional singular integrals. Zbl 1326.42022Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 7 2015 Two-weight inequality for the Hilbert transform: a real variable characterization. I. Zbl 1312.42011Lacey, Michael T.; Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 54 2014 Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. Zbl 1318.42026Han, Yongsheng; Lu, Guozhen; Sawyer, Eric 34 2014 Potential theory on trees, graphs and Ahlfors-regular metric spaces. Zbl 1294.31004Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D. 12 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 1 2014 Hardy spaces associated with different homogeneities and boundedness of composition operators. Zbl 1291.42018Han, Yongsheng; Lin, Chincheng; Lu, Guozhen; Ruan, Zhuoping; Sawyer, Eric T. 19 2013 Restricted convolution inequalities, multilinear operators and applications. Zbl 1287.42008Geba, Dan-Andrei; Greenleaf, Allan; Iosevich, Alex; Palsson, Eyvindur; Sawyer, Eric 9 2013 Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem. Zbl 1310.35081Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L. 6 2013 A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure. Zbl 1279.42016Lacey, Michael; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 30 2012 Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on \(A_p\) weighted spaces. Zbl 1278.42025Hytönen, Tuomas P.; Lacey, Michael T.; Martikainen, Henri; Orponen, Tuomas; Reguera, Maria Carmen; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 23 2012 A two weight inequality for the Hilbert transform assuming an energy hypothesis. Zbl 1252.42018Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 12 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 1264.32004Costea, Şerban; Sawyer, Eric T.; Wick, Brett D. 24 2011 The Dirichlet space: a survey. Zbl 1233.30017Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric T.; Wick, Brett D. 23 2011 Function spaces related to the Dirichlet space. Zbl 1232.30036Arcozzi, N.; Rochberg, R.; Sawyer, E.; Wick, B. D. 13 2011 Distance functions for reproducing kernel Hilbert spaces. Zbl 1236.46023Arcozzi, N.; Rochberg, R.; Sawyer, E.; Wick, B. D. 9 2011 Bilinear forms on the Dirichlet space. Zbl 1262.30066Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric; Wick, Brett D. 27 2010 Degenerate Sobolev spaces and regularity of subelliptic equations. Zbl 1191.35085Sawyer, Eric T.; Wheeden, Richard L. 19 2010 Astala’s conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane. Zbl 1211.30036Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 10 2010 Two variations on the Drury-Arveson space. Zbl 1218.46015Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric 4 2010 BMO estimates for the \(H^{\infty} (\mathbb B_n)\) corona problem. Zbl 1192.32004Costea, Şerban; Sawyer, Eric T.; Wick, Brett D. 1 2010 Regularity of subelliptic Monge-Ampère equations in the plane. Zbl 1173.35470Guan, Pengfei; Sawyer, Eric 9 2009 Function theory. Interpolation and corona problems. Zbl 1160.30001Sawyer, Eric T. 5 2009 Smoothness of radial solutions to Monge-Ampère equations. Zbl 1175.35025Rios, Cristian; Sawyer, Eric T. 1 2009 Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls. Zbl 1167.32003Arcozzi, N.; Rochberg, R.; Sawyer, E. 37 2008 Regularity of subelliptic Monge-Ampère equations. Zbl 1140.35008Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L. 10 2008 A priori estimates for infinitely degenerate quasilinear equations. Zbl 1224.35149Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L. 5 2008 Capacity, Carleson measures, boundary convergence, and exceptional sets. Zbl 1182.30099Arcozzi, N.; Rochberg, R.; Sawyer, E. 4 2008 Mean lattice point discrepancy bounds. II: Convex domains in the plane. Zbl 1171.11052Iosevich, Alexander; Sawyer, Eric T.; Seeger, Andreas 5 2007 The characterization of the Carleson measures for analytic Besov spaces: a simple proof. Zbl 1148.30028Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric 2 2007 The diameter space, a restriction of the Drury-Arveson-Hardy space. Zbl 1149.46023Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric 2 2007 Some problems on Carleson measures for Besov-Sobolev spaces. Zbl 1168.32006Arcozzi, N.; Rochberg, R.; Sawyer, E. 1 2007 Hölder continuity of weak solutions to subelliptic equations with rough coefficients. Zbl 1096.35031Sawyer, Eric T.; Wheeden, Richard L. 30 2006 Carleson measures and interpolating sequences for Besov spaces on complex balls. Zbl 1112.46027Arcozzi, N.; Rochberg, R.; Sawyer, E. 19 2006 Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions. Zbl 1097.35035Sawyer, Eric T.; Wheeden, Richard L. 12 2006 A priori estimates for quasilinear equations related to the Monge-Ampère equation in two dimensions. Zbl 1260.35052Sawyer, Eric T.; Wheeden, Richard L. 4 2006 A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations. Zbl 1072.35052Rios, Cristian; Sawyer, Eric T.; Wheeden, Richard L. 11 2005 Three problems motivated by the average decay of the Fourier transform. Zbl 1038.42020Iosevich, Alexander; Sawyer, Eric 3 2003 Endpoint estimates for commutators of singular integrals on spaces of homogeneous type. Zbl 1019.43005Chen, Wengu; Sawyer, E. 1 2003 Carleson measures for analytic Besov spaces. Zbl 1059.30051Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric 61 2002 A note on commutators of fractional integrals with \(\text{RBMO}(\mu)\) functions. Zbl 1033.42008Chen, Wengu; Sawyer, E. 21 2002 Mean square discrepancy bounds for the number of lattice points in large convex bodies. Zbl 1027.11074Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas 9 2002 Two problems associated with convex finite type domains. Zbl 1012.42006Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas 8 2002 On averaging operators associated with convex hypersurfaces of finite type. Zbl 0997.42009Iosevich, Alexander; Sawyer, Eric; Seeger, Andreas 18 1999 Maximal averages over surfaces. Zbl 0921.42015Iosevich, A.; Sawyer, E. 31 1997 Oscillatory integrals and maximal averages over homogeneous surfaces. Zbl 0898.42004Iosevich, Alex; Sawyer, Eric 20 1996 Weighted norm inequalities for operators of potential type and fractional maximal functions. Zbl 0873.42012Sawyer, Eric T.; Wheeden, Richard L.; Zhao, Shiying 20 1996 Sharp \(L^p-L^q\) estimates for a class of averaging operators. Zbl 0898.42003Iosevich, Alex; Sawyer, Eric 8 1996 A symbolic calculus for rough pseudodifferential operators. Zbl 0869.35118Sawyer, Eric 3 1996 Regularity estimates for the oblique derivative problem on non-smooth domains. II. Zbl 0853.35141Guan, Pengfei; Sawyer, E. 1 1996 Regularity estimates for the oblique derivative problem on non-smooth domains. I. Zbl 0841.35018Guan, Pengfei; Sawyer, E. 6 1995 The \(6n/13\) theorem revisited. Zbl 0852.52003Csima, J.; Sawyer, E. T. 2 1995 Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces. Zbl 0806.42013Han, Y. S.; Sawyer, E. T. 75 1994 Convolution algebras with weighted rearrangement-invariant norm. Zbl 0838.46020Kerman, R.; Sawyer, E. 9 1994 There exist \(6n/13\) ordinary points. Zbl 0771.52003Csima, J.; Sawyer, E. T. 16 1993 Regularity estimates for the oblique derivative problem. Zbl 0792.35039Guan, Pengfei; Sawyer, Eric 14 1993 Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces. Zbl 0783.42011Sawyer, E.; Wheeden, R. L. 224 1992 Carleson conditions for the Poisson integral. Zbl 0748.42009Sawyer, Eric; Wheeden, Richard L. 5 1991 Boundedness of classical operators on classical Lorentz spaces. Zbl 0705.42014Sawyer, E. 137 1990 Unique continuation for \(\Delta +v\) and the C. Fefferman-Phong class. Zbl 0702.35034Chanillo, Sagun; Sawyer, Eric 31 1990 Para-accretive functions, the weak boundedness property and the Tb theorem. Zbl 0723.42005Han, Y.-S.; Sawyer, E. T. 18 1990 Weighted inequalities for Riemann-Liouville fractional integrals of order one and greater. Zbl 0704.42018Martin-Reyes, F. J.; Sawyer, E. 25 1989 On weighted norm inequalities for positive linear operators. Zbl 0673.47030Kerman, R.; Sawyer, E. 4 1989 A characterization of two weight norm inequalities for fractional and Poisson integrals. Zbl 0665.42023Sawyer, Eric T. 89 1988 Weighted norm inequalities for the Riemann-Liouville and Weyl fractional integral operators. Zbl 0664.26002Andersen, K. F.; Sawyer, E. T. 53 1988 Carleson measures and multipliers of Dirichlet-type spaces. Zbl 0657.31019Kerman, Ron; Sawyer, Eric 29 1988 Families of plane curves having translates in a set of measure zero. Zbl 0623.28004Sawyer, Eric 2 1987 The trace inequality and eigenvalue estimates for Schrödinger operators. Zbl 0591.47037Kerman, R.; Sawyer, E. 60 1986 Weighted inequalities for the one-sided Hardy-Littlewood maximal functions. Zbl 0627.42009Sawyer, E. 54 1986 A weighted inequality and eigenvalue estimates for Schrödinger operators. Zbl 0603.35072Sawyer, Eric T. 5 1986 Embedding and multiplier theorems for \(H^ p({\mathbb{R}}^ n)\). Zbl 0566.42013Baernstein, A.; Sawyer, E. T. 38 1985 Weighted inequalities for the two-dimensional Hardy operator. Zbl 0585.42020Sawyer, E. 26 1985 A weighted weak type inequality for the maximal function. Zbl 0588.42013Sawyer, E. 18 1985 Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures. Zbl 0564.35027Kerman, R.; Sawyer, E. 10 1985 Weighted Lebesgue and Lorentz norm inequalities for the Hardy operator. Zbl 0538.47020Sawyer, Eric 38 1984 A two weight weak type inequality for fractional integrals. Zbl 0539.42008Sawyer, Eric 36 1984 Unique continuation for Schrödinger operators in dimension three or less. Zbl 0535.35007Sawyer, Eric T. 14 1984 Multipliers of Besov and power-weighted \(L^ 2\) spaces. Zbl 0546.42011Sawyer, Eric 10 1984 Norm inequalities relating singular integrals and the maximal function. Zbl 0528.44002Sawyer, Eric T. 23 1983 A characterization of a two-weight norm inequality for maximal operators. Zbl 0508.42023Sawyer, Eric T. 159 1982 Two weight norm inequalities for certain maximal and integral operators. Zbl 0508.42024Sawyer, Eric T. 17 1982 Holomorphic functions with positive real part. Zbl 0502.32005Sawyer, Eric 1 1982 Weighted norm inequalities for fractional maximal operators. Zbl 0546.42018Sawyer, Eric T. 10 1981 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,243 Authors 50 Sawyer, Eric T. 29 Stepanov, Vladimir Dmitrievich 27 Lu, Guozhen 25 Han, Yongsheng 23 Pérez, Carlos 22 Wick, Brett Duane 22 Yang, Dachun 21 Gogatishvili, Amiran 21 Wheeden, Richard Lee 20 Meskhi, Alexander 19 Li, Ji 18 Cruz-Uribe, David Vincente 15 Pick, Luboš 15 Tanaka, Hitoshi 14 Kokilashvili, Vakhtang Mikhailovich 14 Lacey, Michael T. 14 Li, Kangwei 14 Soria, Javier 14 Verbitsky, Igor E. 13 Chen, Jiecheng 13 Ding, Wei 13 Seo, Ihyeok 12 Cascante, Carme 12 Lu, Shanzhen 12 Martín-Reyes, Francisco Javier 12 Ombrosi, Sheldy Javier 12 Ortega Aramburu, Joaquín María 11 Carro, María Jesús 11 Chen, Wei 11 Han, Yanchang 11 Lerner, Andrei K. 11 Lin, Chincheng 11 Peláez, José Ángel 11 Persson, Lars-Erik 11 Rivera-Ríos, Israel P. 11 Uriarte-Tuero, Ignacio 10 Arcozzi, Nicola 10 Fu, Zunwei 10 Hartz, Michael 10 Moen, Kabe 10 Shi, Shaoguang 10 Volberg, Alexander Lvovich 9 Chua, Seng-Kee 9 Greenblatt, Michael 9 Kerman, Ron 9 Lee, Ming-Yi 9 Li, Hongliang 9 Mamedov, Farman Imran 9 Qian, Ruishen 9 Rakotondratsimba, Yves 9 Shambilova, Guldarya Ermakovna 8 Cianchi, Andrea 8 Edmunds, David Eric 8 Gol’dman, Mikhail L’vovich 8 Ho, Kwok-Pun 8 Hytönen, Tuomas P. 8 Ikromov, Isroil A. 8 Iosevich, Alex 8 Korobenko, Lyudmila 8 Liu, Zongguang 8 McCarthy, John Edward 8 Rodney, Scott 8 Shen, Chun-Yen 7 Bernardis, Ana L. 7 Boza, Santiago 7 Chen, Jiao 7 de la Torre, Alberto Clemente 7 He, Shaoyong 7 Li, Songxiao 7 Lorente, María 7 Martell, José María (Chema) 7 Prokhorov, Dmitriĭ Vladimirovich 7 Richter, Stefan 7 Rios, Cristian 7 Riveros, María Silvina 7 Ushakova, Elena Pavlovna 7 Wu, Xinfeng 7 Xue, Qingying 7 Zhao, Jiman 7 Zhu, Yueping 6 Girela, Daniel 6 Grafakos, Loukas 6 Hu, Guoen 6 Maligranda, Lech 6 Maz’ya, Vladimir Gilelevich 6 Pau, Jordi 6 Pereyra, María Cristina 6 Pradolini, Gladis G. 6 Rahm, Robert 6 Rochberg, Richard 6 Sawano, Yoshihiro 6 Seeger, Andreas 6 Sehba, Benoit Florent 6 Slavíková, Lenka 6 Tao, Xiangxing 6 Tikhonov, Sergey Yur’evich 6 Torrea, José Luis 6 Yan, Dunyan 5 Aimar, Hugo A. 5 Aleman, Alexandru ...and 1,143 more Authors all top 5 Cited in 224 Serials 80 Journal of Mathematical Analysis and Applications 76 Journal of Functional Analysis 67 Proceedings of the American Mathematical Society 56 Transactions of the American Mathematical Society 49 The Journal of Geometric Analysis 29 The Journal of Fourier Analysis and Applications 28 Advances in Mathematics 25 Journal d’Analyse Mathématique 25 Potential Analysis 23 Mathematische Nachrichten 23 Acta Mathematica Sinica. 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