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Jump formulas for singular integrals and layer potentials on rectifiable sets

Proceedings of the American Mathematical Society, 2020-11, Vol.148 (11), p.4755-4767

Tolsa, Xavier

2020

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The two-phase problem for harmonic measure in VMO

Calculus of variations and partial differential equations, 2020-06, Vol.59 (3), Article 102

2020

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Characterization of rectifiable measures in terms of \alpha-numbers

Transactions of the American Mathematical Society, 2020-11, Vol.373 (11), p.7991

2020

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A family of singular integral operators which control the Cauchy transform

Mathematische Zeitschrift, 2020-04, Vol.294 (3-4), p.1283-1340

2020

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Rectifiability of measures and the βp coefficients

Publicacions matemàtiques, 2019, Vol.63 (2), p.491-519

Tolsa, Xavier

2019

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A two-phase free boundary problem for harmonic measure and uniform rectifiability

Transactions of the American Mathematical Society, 2020-06, Vol.373 (6), p.4359-4388

2020

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Unique Continuation at the Boundary for Harmonic Functions in C 1 Domains and Lipschitz Domains with Small Constant

Communications on pure and applied mathematics, 2023-02, Vol.76 (2), p.305-336

Tolsa, Xavier

2023

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Harmonic measure and quantitative connectivity: geometric characterization of the Lp-solvability of the Dirichlet problem

Inventiones mathematicae, 2020-12, Vol.222 (3), p.881-993

2020

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Unique Continuation at the Boundary for Harmonic Functions in C1 Domains and Lipschitz Domains with Small Constant

Communications on pure and applied mathematics, 2023-02, Vol.76 (2), p.305-336

Tolsa, Xavier

2023

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Characterization of n-rectifiability in terms of Jones’ square function: part I

Calculus of variations and partial differential equations, 2015-12, Vol.54 (4), p.3643-3665

Tolsa, Xavier

2015

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The space H^1 for nondoubling measures in terms of a grand maximal operator

Transactions of the American Mathematical Society, 2003-01, Vol.355 (1), p.315-348

Tolsa, Xavier

2003

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L^p estimates for the variation for singular integrals on uniformly rectifiable sets

Transactions of the American Mathematical Society, 2017-11, Vol.369 (11), p.8239-8275

2017

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Riesz transforms of non-integer homogeneity on uniformly disconnected sets

Transactions of the American Mathematical Society, 2016-10, Vol.368 (10), p.7045-7095

2016

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Square functions and uniform rectifiability

Transactions of the American Mathematical Society, 2016-09, Vol.368 (9), p.6063-6102

2016

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Characterization of n-rectifiability in terms of Jones’ square function: Part II

Geometric and functional analysis, 2015-10, Vol.25 (5), p.1371-1412

2015

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Rectifiable measures, square functions involving densities, and the Cauchy transform

Memoirs of the American Mathematical Society, 2017-01, Vol.245 (1158)

Tolsa, Xavier

2017

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Uniform measures and uniform rectifiability

Journal of the London Mathematical Society, 2015-08, Vol.92 (1), p.1-18

Tolsa, Xavier

2015

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Harmonic measure and Riesz transform in uniform and general domains

Journal für die reine und angewandte Mathematik, 2020-01, Vol.2020 (758), p.183-221

2020

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Correction to: Characterization of n-rectifiability in terms of Jones’ square function: part I

Calculus of variations and partial differential equations, 2019, Vol.58 (1), p.1-11, Article 35

Tolsa, Xavier

2019

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Connectivity conditions and boundary Poincaré inequalities

Analysis & PDE, 2024-06, Vol.17 (5), p.1831-1870

2024

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Uniform rectifiability, Calderón–Zygmund operators with odd kernel, and quasiorthogonality

Proceedings of the London Mathematical Society, 2009-03, Vol.98 (2), p.393-426

Tolsa, Xavier

2009

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On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1

Acta mathematica, 2014-12, Vol.213 (2), p.237-321

2014

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Analytic capacity and projections

Journal of the European Mathematical Society : JEMS, 2020-10, Vol.22 (12), p.4121-4159

2020

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RECTIFIABILITY OF MEASURES AND THE βp COEFFICIENTS

Publicacions matemàtiques, 2019-01, Vol.63 (2), p.491-519

Tolsa, Xavier

2019

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Uniform rectifiability from Carleson measure estimates and ε-approximability of bounded harmonic functions

Duke mathematical journal, 2018-06, Vol.167 (8)

2018

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Jump formulas for singular integrals and layer potentials on rectifiable sets

The two-phase problem for harmonic measure in VMO

Characterization of rectifiable measures in terms of \alpha-numbers

A family of singular integral operators which control the Cauchy transform

Rectifiability of measures and the βp coefficients

A two-phase free boundary problem for harmonic measure and uniform rectifiability

Unique Continuation at the Boundary for Harmonic Functions in C 1 Domains and Lipschitz Domains with Small Constant

Harmonic measure and quantitative connectivity: geometric characterization of the Lp-solvability of the Dirichlet problem

Unique Continuation at the Boundary for Harmonic Functions in C1 Domains and Lipschitz Domains with Small Constant

Characterization of n-rectifiability in terms of Jones’ square function: part I

The space H^1 for nondoubling measures in terms of a grand maximal operator

L^p estimates for the variation for singular integrals on uniformly rectifiable sets

Riesz transforms of non-integer homogeneity on uniformly disconnected sets

Square functions and uniform rectifiability

Characterization of n-rectifiability in terms of Jones’ square function: Part II

Rectifiable measures, square functions involving densities, and the Cauchy transform

Uniform measures and uniform rectifiability

Harmonic measure and Riesz transform in uniform and general domains

Correction to: Characterization of n-rectifiability in terms of Jones’ square function: part I

Connectivity conditions and boundary Poincaré inequalities

Uniform rectifiability, Calderón–Zygmund operators with odd kernel, and quasiorthogonality

On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1

Analytic capacity and projections

RECTIFIABILITY OF MEASURES AND THE βp COEFFICIENTS

Uniform rectifiability from Carleson measure estimates and ε-approximability of bounded harmonic functions

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