Publications en collaboration avec des chercheurs de Universitat Autònoma de Barcelona (22)

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

  3. Note about square function estimates and uniformly rectifiable measures

    Proceedings of the American Mathematical Society, Vol. 144, Núm. 8, pp. 3455-3463