Xavier Tolsa

Applied Mathematics · 2000–2018

A researcher in the Science corpus: 17 papers; trusts 17 researchers and is trusted by 36 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 59 citations into it; #236 of 7,620 by trust here, #476 by citations
• Mathematical Physics — 27 citations into it; #270 of 8,562 by trust here, #505 by citations
• Geometry and Topology — 15 citations into it; #824 of 7,422 by trust here, #1,882 by citations
• Computational Theory and Mathematics — 13 citations into it

Whom Xavier Tolsa trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Joan Mateu
2. Jonas Azzam
3. P. Mattila
4. Alexander Volberg
5. Fedor Nazarov
6. X. Domènech
7. J. Orobitg
8. Gilad Lerman
9. Joan Verdera
10. S. Hofmann

Who trusts Xavier Tolsa overall

1. Tuomas Hytönen
2. Xing Fu
3. Dachun Yang
4. Yoshihiro Sawano
5. Alexander Volberg
6. Tao Mei
7. S. Hofmann
8. J. García-cuerva
9. The Anh Bui
10. Wen Yuan

Papers from Xavier Tolsa's perspective

Ordered by how strongly the researchers Xavier Tolsa trusts endorse each paper. Same corpus, a different order for every researcher.

1. Boundary Harnack principle and Martin boundary for a uniform domain
2. The planar Cantor sets of zero analytic capacity and the local T(b)-theorem
3. Bounded Analytic Functions
4. BMO for nondoubling measures
5. Bilipschitz maps, analytic capacity, and the Cauchy integral
6. A proof of the weak (1,1) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition
7. $BMO, H^1$, and Calderón-Zygmund operators for non doubling measures
8. Singular Integrals and Differentiability Properties of Functions.
9. Characterization of n-rectifiability in terms of Jones’ square function: Part II (Geometric and Functional Analysis)
10. Painlevé's problem and the semiadditivity of analytic capacity

Their papers

• Harmonic measure and quantitative connectivity: geometric characterization of the $L^p$ solvability of the Dirichlet problem. Part II. (2018) — 50 citations
• Harmonic measure and quantitative connectivity: geometric characterization of the Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \beg (2018) — 58 citations
• Uniform rectifiability from Carleson measure estimates and ε-approximability of bounded harmonic functions (2016) — 51 citations
• Characterization of n-rectifiability in terms of Jones’ square function: part I (2015) — 70 citations
• Characterization of n-rectifiability in terms of Jones’ square function: Part II (2015) — 103 citations
• Rectifiability of harmonic measure (2015) — 84 citations
• Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory (2013) — 203 citations
• On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1 (2012) — 160 citations
• The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions (2012) — 54 citations
• Uniform rectifiability, Calderón–Zygmund operators with odd kernel, and quasiorthogonality (2008) — 86 citations
• Principal values for Riesz transforms and rectifiability (2007) — 54 citations
• The semiadditivity of continuous analytic capacity and the inner boundary conjecture (2004) — 66 citations
• The planar Cantor sets of zero analytic capacity and the local T(b)-theorem (2002) — 50 citations
• Painlevé's problem and the semiadditivity of analytic capacity (2002) — 325 citations
• A proof of the weak (1,1) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition (2000) — 91 citations
• Littlewood–Paley Theory and the T(1) Theorem with Non-doubling Measures (2000) — 139 citations
• $BMO, H^1$, and Calderón-Zygmund operators for non doubling measures (2000) — 196 citations