Matemáticas
Departamento
Institució Catalana de Recerca i Estudis Avançats
Barcelona, EspañaPublicaciones en colaboración con investigadoras/es de Institució Catalana de Recerca i Estudis Avançats (13)
2025
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Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains
Journal of Functional Analysis, Vol. 288, Núm. 1
2024
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The regularity problem for the laplace equation in rough domains
Duke Mathematical Journal, Vol. 173, Núm. 9, pp. 1731-1837
2023
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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
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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
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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
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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
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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
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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
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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
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On a two-phase problem for harmonic measure in general domains
American Journal of Mathematics, Vol. 141, Núm. 5, pp. 1259-1279
2018
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Improved Cotlar's inequality in the context of local Tb theorems
Journal of Functional Analysis, Vol. 274, Núm. 5, pp. 1255-1275
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Uniform rectifiability from Carleson measure estimates and ε-approximability of bounded harmonic functions
Duke Mathematical Journal, Vol. 167, Núm. 8, pp. 1473-1524
2017
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The one-phase problem for harmonic measure in two-sided NTA domains
Analysis and PDE, Vol. 10, Núm. 3, pp. 559-588