, and Calderón-Zygmund operators for non doubling measures X Tolsa Mathematische Annalen 319 (1), 89-149, 2001 | 429 | 2001 |
Painlevé's problem and the semiadditivity of analytic capacity X Tolsa | 394 | 2003 |
Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory X Tolsa Birkhäuser, 2014 | 223 | 2014 |
Littlewood–Paley theory and the T (1) theorem with non-doubling measures X Tolsa Advances in Mathematics 164 (1), 57-116, 2001 | 164 | 2001 |
On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1 F Nazarov, A Volberg, X Tolsa | 151 | 2014 |
L2-boundedness of the Cauchy integral operator for continuous measures X Tolsa Duke Mathematical Journal, 1999, vol. 98, núm. 2, p. 269-304., 1999 | 142 | 1999 |
The space 𝐻¹ for nondoubling measures in terms of a grand maximal operator X Tolsa Transactions of the American Mathematical Society 355 (1), 315-348, 2003 | 131 | 2003 |
Rectifiability of harmonic measure J Azzam, S Hofmann, JM Martell, S Mayboroda, M Mourgoglou, X Tolsa, ... Geometric and Functional Analysis 26, 703-728, 2016 | 126* | 2016 |
A proof of the weak (1, 1) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition X Tolsa Publicacions Matematiques, 163-174, 2001 | 117 | 2001 |
Characterization of n-rectifiability in terms of Jones’ square function: Part II J Azzam, X Tolsa Geometric and Functional Analysis 25 (5), 1371-1412, 2015 | 114 | 2015 |
Bilipschitz maps, analytic capacity, and the Cauchy integral X Tolsa Annals of mathematics, 1243-1304, 2005 | 96 | 2005 |
Uniform rectifiability, Calderón–Zygmund operators with odd kernel, and quasiorthogonality X Tolsa Proceedings of the London Mathematical Society 98 (2), 393-426, 2009 | 94 | 2009 |
Harmonic measure and quantitative connectivity: geometric characterization of the -solvability of the Dirichlet problem J Azzam, S Hofmann, JM Martell, M Mourgoglou, X Tolsa Inventiones mathematicae 222 (3), 881-993, 2020 | 79 | 2020 |
The semiadditivity of continuous analytic capacity and the inner boundary conjecture X Tolsa American Journal of Mathematics 126 (3), 523-567, 2004 | 72 | 2004 |
Principal values for Riesz transforms and rectifiability X Tolsa Journal of Functional Analysis 254 (7), 1811-1863, 2008 | 67 | 2008 |
Cotlar's inequality without the doubling condition and existence of principal values for the Cauchy integral of measures X Tolsa Walter de Gruyter GmbH & Co. KG 1998 (502), 199-235, 1998 | 67 | 1998 |
Characterization of n-rectifiability in terms of Jones’ square function: part I X Tolsa Calculus of Variations and Partial Differential Equations 54, 3643-3665, 2015 | 66 | 2015 |
The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions F Nazarov, X Tolsa, A Volberg | 62 | 2014 |
The planar Cantor sets of zero analytic capacity and the local 𝑇 (𝑏)-theorem J Mateu, X Tolsa, J Verdera Journal of the American Mathematical Society 16 (1), 19-28, 2003 | 60 | 2003 |
Principal values for the Cauchy integral and rectifiability X Tolsa Proceedings of the American Mathematical Society 128 (7), 2111-2119, 2000 | 57 | 2000 |