Publicaciones en colaboración con investigadores/as de Universitat Autònoma de Barcelona (23)

2025

  1. Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains

    Journal of Functional Analysis, Vol. 288, Núm. 1

2024

  1. The regularity problem for the laplace equation in rough domains

    Duke Mathematical Journal, Vol. 173, Núm. 9, pp. 1731-1837

2023

  1. L2 -Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type

    Archive for Rational Mechanics and Analysis, Vol. 247, Núm. 3

  2. Publisher Correction to: L2 -Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type (Archive for Rational Mechanics and Analysis, (2023), 247, 3, (38), 10.1007/s00205-023-01852-1)

    Archive for Rational Mechanics and Analysis

  3. Uniform Rectifiability, Elliptic Measure, Square Functions, and ϵ-Approximability Via an ACF Monotonicity Formula

    International Mathematics Research Notices, Vol. 2023, Núm. 13, pp. 10837-10941

2021

  1. A new approach to non-homogeneous local Tb theorems

    Journal d'Analyse Mathematique, Vol. 143, Núm. 1, pp. 95-121

  2. Harmonic measure and Riesz transform in uniform and general domains

    Journal fur die Reine und Angewandte Mathematik, Vol. 2020, Núm. 758, pp. 183-221

2020

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

    Transactions of the American Mathematical Society, Vol. 373, Núm. 6, pp. 4359-4388

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

    Inventiones Mathematicae, Vol. 222, Núm. 3, pp. 881-993

2019

  1. Failure of L 2 boundedness of gradients of single layer potentials for measures with zero low density

    Mathematische Annalen, Vol. 373, Núm. 1-2, pp. 253-285

  2. On Harmonic Measure and Rectifiability in Uniform Domains

    Journal of Geometric Analysis, Vol. 29, Núm. 2, pp. 1193-1205

  3. On a two-phase problem for harmonic measure in general domains

    American Journal of Mathematics, Vol. 141, Núm. 5, pp. 1259-1279

2018

  1. Improved Cotlar's inequality in the context of local Tb theorems

    Journal of Functional Analysis, Vol. 274, Núm. 5, pp. 1255-1275

  2. Tangent measures and absolute continuity of harmonic measure

    Revista matemática iberoamericana, Vol. 34, Núm. 1, pp. 305-330

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

    Duke Mathematical Journal, Vol. 167, Núm. 8, pp. 1473-1524

2017

  1. Mutual Absolute Continuity of Interior and Exterior Harmonic Measure Implies Rectifiability

    Communications on Pure and Applied Mathematics, Vol. 70, Núm. 11, pp. 2121-2163

  2. Non-homogeneous Square Functions on General Sets: Suppression and Big Pieces Methods

    Journal of Geometric Analysis, Vol. 27, Núm. 4, pp. 3176-3227

  3. The one-phase problem for harmonic measure in two-sided NTA domains

    Analysis and PDE, Vol. 10, Núm. 3, pp. 559-588

2016

  1. A characterization of 1-rectifiable doubling measures with connected supports

    Analysis and PDE, Vol. 9, Núm. 1, pp. 99-109

  2. Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure

    Comptes Rendus Mathematique, Vol. 354, Núm. 4, pp. 351-355