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Mihalis Mourgoglou

0000-0002-9634-6713
math.CAmath.APmath.MGmath.FAmath.CO

On Valency

published · living versions
W_b8nym7uw·v1 · currentpublished
Parabolic Reifenberg Parametrizations and Corona Decompositions, with Applications to Singular Integrals
with John Hoffman, Matthew Hyde
1 version
W_um43rjr6·v1published
Local TbTb theorems in non-homogeneous metric spaces, and applications to caloric measure

Preprints & journals

49 papers in the corpus · 2010–2026
The Dirichlet problem as the boundary of the Poisson problem: A sharp approximation result2602.07560v1 · Mihalis Mourgoglou, Bruno Poggi2026 · 0 citationsarXiv
Smooth extensions of Sobolev boundary data in corkscrew domains with uniformly rectifiable boundaries2511.10137v1 · Jonas Azzam, Mihalis Mourgoglou, Michele Villa2025 · 0 citationsarXiv
Layer potentials for elliptic operators with DMO-type coefficients: big pieces TbTb theorem, quantitative rectifiability, and free boundary problems2505.23478v1 · Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti2025 · 0 citationsarXiv
Solvability of the Neumann problem for elliptic equations in chord-arc domains with very big pieces of good superdomains2407.20385v4 · Mihalis Mourgoglou, Xavier Tolsa2024 · 1 citationarXiv
Quantitative differentiability on uniformly rectifiable sets2306.13017v2 · Jonas Azzam, Mihalis Mourgoglou, Michele Villa2023 · 0 citationsarXiv
Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains2306.06185v2 · Josep M. Gallegos, Mihalis Mourgoglou, Xavier Tolsa2023 · 2 citationsarXiv
Varopoulos extensions in domains with Ahlfors-regular boundaries and applications to Boundary Value Problems for elliptic systems with L∞L^\infty coefficients2303.10717v5 · Mihalis Mourgoglou, Thanasis Zacharopoulos2023 · 0 citationsarXiv
On the density problem in the parabolic space2211.04222v1 · Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti2022 · 0 citationsarXiv
Solvability of the Poisson-Dirichlet problem with interior data in Lp′L^{p'}-Carleson spaces and its applications to the LpL^{p}-regularity problem2207.10554v3 · Mihalis Mourgoglou, Bruno Poggi, Xavier Tolsa2022 · 2 citationsarXiv
L2L^2-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type2112.07332v3 · Alejandro Molero, Mihalis Mourgoglou, Carmelo Puliatti et al.2021 · 3 citationsarXiv
The regularity problem for the Laplace equation in rough domains2110.02205v6 · Mihalis Mourgoglou, Xavier Tolsa2021 · 10 citationsarXiv
Blow-ups of caloric measure in time varying domains and applications to two-phase problems2008.06968v3 · Mihalis Mourgoglou, Carmelo Puliatti2020 · 3 citationsarXiv
Harmonic measure and quantitative connectivity: geometric characterization of the LpL^p-solvability of the Dirichlet problem1907.07102v2 · Jonas Azzam, Steve Hofmann, Jos'e Mar'ia Martell et al.2019 · 58 citationsThis is a pre-print of an article published in Invent. Math. 2020
Regularity theory and Green's function for elliptic equations with lower order terms in unbounded domains1904.04722v3 · Mihalis Mourgoglou2019 · 9 citationsarXiv
Harmonic measure and quantitative connectivity: geometric characterization of the LpL^p solvability of the Dirichlet problem. Part II1803.07975v3 · Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa2018 · 0 citationsarXiv
Failure of L2L^2 boundedness of gradients of single layer potentials for measures with zero low density1801.08453v2 · Jos'e M. Conde-Alonso, Mihalis Mourgoglou, Xavier Tolsa2018 · 0 citationsarXiv
A two-phase free boundary problem for harmonic measure and uniform rectifiability1710.10111v5 · Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa2017 · 9 citationsarXiv
Tangent measures of elliptic harmonic measure and applications1708.03571v1 · Jonas Azzam, Mihalis Mourgoglou2017 · 8 citationsAnalysis & PDE 12 (2019) 1891-1941
Uniform rectifiability, elliptic measure, square functions, and ε\varepsilon-approximability via an ACF monotonicity formula1612.02650v3 · Jonas Azzam, John Garnett, Mihalis Mourgoglou et al.2016 · 17 citationsarXiv
Uniform rectifiability from Carleson measure estimates and ε\varepsilon-approximability of bounded harmonic functions1611.00264v3 · John Garnett, Mihalis Mourgoglou, Xavier Tolsa2016 · 37 citationsDuke Math. J. 167, no. 8 (2018), 1473-1524
On a two-phase problem for harmonic measure in general domains1609.06133v1 · Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa et al.2016 · 5 citationsarXiv
Non-homogeneous square functions on general sets: suppression and big pieces methods1606.04309v1 · Henri Martikainen, Mihalis Mourgoglou, Emil Vuorinen2016 · 2 citationsJ. Geom. Anal. 27 (4) (2017) 3176-3227
Absolute continuity of harmonic measure for domains with lower regular boundaries1605.07291v2 · Murat Akman, Jonas Azzam, Mihalis Mourgoglou2016 · 7 citationsarXiv
The one-phase problem for harmonic measure in two-sided NTA domains1604.06343v2 · Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa2016 · 3 citationsAnalysis & PDE 10 (2017) 559-588
Mutual absolute continuity of interior and exterior harmonic measure implies rectifiability1602.01397v2 · Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa2016 · 24 citationsarXiv
Approximate tangents, harmonic measure, and domains with rectifiable boundaries1602.00677v2 · Mihalis Mourgoglou2016 · 2 citationsarXiv
Improved Cotlar's inequality in the context of local TbTb theorems1512.02950v1 · Henri Martikainen, Mihalis Mourgoglou, Xavier Tolsa2015 · 4 citationsJ. Funct. Anal. 274 (2018) 1255-1275
A new approach to non-homogeneous local TbTb theorems1511.00528v2 · Henri Martikainen, Mihalis Mourgoglou, Emil Vuorinen2015 · 0 citationsarXiv
Harmonic measure and Riesz transform in uniform and general domains1509.08386v3 · Mihalis Mourgoglou, Xavier Tolsa2015 · 33 citationsarXiv
Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension one Hausdorff measure1509.06558v1 · Jonas Azzam, Steve Hofmann, Jos'e Mar'ia Martell et al.2015 · 2 citationsC. R. Math. Acad. Sci. Paris. 354 (2016), 351--355
Rectifiability of harmonic measure1509.06294v2 · Jonas Azzam, Steve Hofmann, Jos'e Mar'ia Martell et al.2015 · 64 citationsGeom. Funct. Anal. 26 (2016), no. 3, 703--728
Tangent measures and absolute continuity of harmonic measure1507.00926v4 · Jonas Azzam, Mihalis Mourgoglou2015 · 10 citationsarXiv
Rectifiability of harmonic measure in domains with porous boundaries1505.06088v3 · Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa2015 · 6 citationsarXiv
Uniform domains with rectifiable boundaries and harmonic measure1505.06167v3 · Mihalis Mourgoglou2015 · 8 citationsarXiv
Singular sets for harmonic measure on locally flat domains with locally finite surface measure1501.07585v2 · Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa2015 · 17 citationsarXiv
A characterization of 11-rectifiable doubling measures with connected supports1501.02220v3 · Jonas Azzam, Mihalis Mourgoglou2015 · 11 citationsAnal. PDE 9 (2016) 99-109
Note about square function estimates and uniformly rectifiable measures1501.01274v1 · Henri Martikainen, Mihalis Mourgoglou2015 · 1 citationProc. Amer. Math. Soc. 144 (2016), no. 8, 3455-3463
Representation and uniqueness for boundary value elliptic problems via first order systems1404.2687v2 · Pascal Auscher (LM-Orsay), Mihalis Mourgoglou (IHES)2014 · 65 citationsarXiv
Boundedness of non-homogeneous square functions and LqL^q type testing conditions with q∈(1,2)q \in (1,2)1401.5457v1 · Henri Martikainen, Mihalis Mourgoglou2014 · 5 citationsMath. Res. Lett. 22 (5) (2015) 1417-1457
Layer potentials and boundary value problems for elliptic equations with complex L∞L^{\infty} coefficients satisfying the small Carleson measure norm condition1311.0086v1 · Steve Hofmann, Svitlana Mayboroda, Mihalis Mourgoglou2013 · 4 citationsarXiv
Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems1306.4115v1 · Pascal Auscher (LM-Orsay), Mihalis Mourgoglou (LM-Orsay)2013 · 16 citationsarXiv
Square functions with general measures II1305.6865v1 · Henri Martikainen, Mihalis Mourgoglou, Tuomas Orponen2013 · 4 citationsIndiana Univ. Math. J. 63 (5) (2014) 1249-1279
On L2L^2 Solvability of BVPs for elliptic systems1212.3931v1 · Pascal Auscher (LM-Orsay), Alan McIntosh (CMA), Mihalis Mourgoglou (LM-Orsay)2012 · 16 citationsarXiv
Square functions with general measures1212.3684v1 · Henri Martikainen, Mihalis Mourgoglou2012 · 16 citationsProc. Amer. Math. Soc. 142 (11) (2014) 3923-3931
A local TbTb theorem for square functions in domains with Ahlfors-David regular boundaries1210.0181v1 · Ana Grau de la Herran, Mihalis Mourgoglou2012 · 6 citationsarXiv
On volumes determined by subsets of Euclidean space1110.6790v1 · Allan Greenleaf, Alex Iosevich, Mihalis Mourgoglou2011 · 13 citationsarXiv
On angles determined by fractal subsets of the Euclidean space via Sobolev bounds for bi-linear operators1110.6792v1 · Alex Iosevich, Mihalis Mourgoglou, Eyvindur Palsson2011 · 12 citationsarXiv
On the Mattila-Sjolin theorem for distance sets1110.6805v1 · Alex Iosevich, Mihalis Mourgoglou, Krystal Taylor2011 · 21 citationsarXiv
On sets of directions determined by subsets of Rd{\Bbb R}^d1009.4169v2 · Alex Iosevich, Mihalis Mourgoglou, Steven Senger2010 · 1 citationarXiv
Career total: 67 works. 49 are in this corpus.

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