Rectifiability of harmonic measure J Azzam, S Hofmann, JM Martell, S Mayboroda, M Mourgoglou, X Tolsa, ...
Geometric and Functional Analysis 26, 703-728, 2016
124 * 2016 Harmonic measure and quantitative connectivity: geometric characterization of the -solvability of the Dirichlet problem J Azzam, S Hofmann, JM Martell, M Mourgoglou, X Tolsa
Inventiones mathematicae 222 (3), 881-993, 2020
71 2020 Representation and uniqueness for boundary value elliptic problems via first order systems P Auscher, M Mourgoglou
Revista matemática iberoamericana 35 (1), 241-315, 2019
59 2019 Uniform rectifiability from Carleson measure estimates and -approximability of bounded harmonic functions J Garnett, M Mourgoglou, X Tolsa
51 2018 Layer potentials and boundary value problems for elliptic equations with complex L∞ coefficients satisfying the small Carleson measure norm condition S Hofmann, S Mayboroda, M Mourgoglou
Advances in Mathematics 270, 480-564, 2015
44 2015 Harmonic measure and Riesz transform in uniform and general domains M Mourgoglou, X Tolsa
Journal für die reine und angewandte Mathematik (Crelles Journal) 2020 (758 …, 2020
33 2020 On L 2 solvability of BVPs for elliptic systems P Auscher, A McIntosh, M Mourgoglou
Journal of Fourier Analysis and Applications 19 (3), 478-494, 2013
31 2013 Mutual absolute continuity of interior and exterior harmonic measure implies rectifiability J Azzam, M Mourgoglou, X Tolsa
Communications on Pure and Applied Mathematics 70 (11), 2121-2163, 2017
30 2017 On the Mattila-Sjolin theorem for distance sets A Iosevich, M Mourgoglou, K Taylor
arXiv preprint arXiv:1110.6805, 2011
28 2011 On a two-phase problem for harmonic measure in general domains J Azzam, M Mourgoglou, X Tolsa, A Volberg
American Journal of Mathematics 141 (5), 1259-1279, 2019
27 2019 Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems P Auscher, M Mourgoglou
Proceedings of the London Mathematical Society 109 (2), 446-482, 2014
27 2014 Square functions with general measures H Martikainen, M Mourgoglou
Proceedings of the American Mathematical Society 142 (11), 3923-3931, 2014
26 2014 Absolute continuity of harmonic measure for domains with lower regular boundaries M Akman, J Azzam, M Mourgoglou
Advances in Mathematics 345, 1206-1252, 2019
21 2019 The regularity problem for the Laplace equation in rough domains M Mourgoglou, X Tolsa
arXiv preprint arXiv:2110.02205, 2021
20 2021 Regularity theory and Green's function for elliptic equations with lower order terms in unbounded domains M Mourgoglou
arXiv preprint arXiv:1904.04722, 2019
19 2019 Singular sets for harmonic measure on locally flat domains with locally finite surface measure J Azzam, M Mourgoglou, X Tolsa
International Mathematics Research Notices 2017 (12), 3751-3773, 2017
19 2017 On volumes determined by subsets of Euclidean space A Greenleaf, A Iosevich, M Mourgoglou
Forum Mathematicum 27 (1), 635-646, 2015
18 2015 Tangent measures of elliptic measure and applications J Azzam, M Mourgoglou
Analysis & PDE 12 (8), 1891-1941, 2019
15 2019 Lp-solvability of the Poisson-Dirichlet problem and its applications to the regularity problem M Mourgoglou, B Poggi, X Tolsa
Preprint. July, 15, 2022
14 * 2022 A two-phase free boundary problem for harmonic measure and uniform rectifiability J Azzam, M Mourgoglou, X Tolsa
Transactions of the American Mathematical Society 373 (6), 4359-4388, 2020
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