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Mihalis Mourgoglou
Mihalis Mourgoglou
Ikerbasque Associate, Universidad del País Vasco
Verified email at ehu.eus
Title
Cited by
Cited by
Year
Rectifiability of harmonic measure
J Azzam, S Hofmann, JM Martell, S Mayboroda, M Mourgoglou, X Tolsa, ...
Geometric and Functional Analysis 26, 703-728, 2016
123*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
702020
Representation and uniqueness for boundary value elliptic problems via first order systems
P Auscher, M Mourgoglou
Revista matemática iberoamericana 35 (1), 241-315, 2019
592019
Uniform rectifiability from Carleson measure estimates and -approximability of bounded harmonic functions
J Garnett, M Mourgoglou, X Tolsa
512018
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
442015
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
332020
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
312013
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
302017
On the Mattila-Sjolin theorem for distance sets
A Iosevich, M Mourgoglou, K Taylor
arXiv preprint arXiv:1110.6805, 2011
282011
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
272019
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
272014
Square functions with general measures
H Martikainen, M Mourgoglou
Proceedings of the American Mathematical Society 142 (11), 3923-3931, 2014
262014
Absolute continuity of harmonic measure for domains with lower regular boundaries
M Akman, J Azzam, M Mourgoglou
Advances in Mathematics 345, 1206-1252, 2019
212019
Regularity theory and Green's function for elliptic equations with lower order terms in unbounded domains
M Mourgoglou
arXiv preprint arXiv:1904.04722, 2019
192019
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
192017
The regularity problem for the Laplace equation in rough domains
M Mourgoglou, X Tolsa
arXiv preprint arXiv:2110.02205, 2021
182021
On volumes determined by subsets of Euclidean space
A Greenleaf, A Iosevich, M Mourgoglou
Forum Mathematicum 27 (1), 635-646, 2015
182015
Tangent measures of elliptic measure and applications
J Azzam, M Mourgoglou
Analysis & PDE 12 (8), 1891-1941, 2019
152019
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
142020
Lp and endpoint solvability results for divergence form elliptic equations with complex L∞ coefficients
S Hofmann, S Mayboroda, M Mourgoglou
preprint 3 (5), 7, 2015
142015
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