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 | 14 | 2020 |