Molero, Alejandro; Mourgoglou, Mihalis; Puliatti, Carmelo; Tolsa, Xavier \(L^2\)-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type. (English) Zbl 1515.42018 Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 38, 59 p. (2023). Reviewer: Felipe Ponce-Vanegas (Bilbao) MSC: 42B37 42B20 35J15 28A75 PDFBibTeX XMLCite \textit{A. Molero} et al., Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 38, 59 p. (2023; Zbl 1515.42018) Full Text: DOI arXiv
Mourgoglou, Mihalis Approximate tangents, harmonic measure, and domains with rectifiable boundaries. (English) Zbl 1472.31009 Proc. Am. Math. Soc. 149, No. 9, 3739-3749 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 31B15 31B05 28A75 28A78 PDFBibTeX XMLCite \textit{M. Mourgoglou}, Proc. Am. Math. Soc. 149, No. 9, 3739--3749 (2021; Zbl 1472.31009) Full Text: DOI arXiv
Azzam, Jonas; Mourgoglou, Mihalis; Tolsa, Xavier A two-phase free boundary problem for harmonic measure and uniform rectifiability. (English) Zbl 1443.31003 Trans. Am. Math. Soc. 373, No. 6, 4359-4388 (2020). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 28A75 28A78 35J15 35J08 42B37 PDFBibTeX XMLCite \textit{J. Azzam} et al., Trans. Am. Math. Soc. 373, No. 6, 4359--4388 (2020; Zbl 1443.31003) Full Text: DOI arXiv
Mourgoglou, Mihalis; Tolsa, Xavier Harmonic measure and Riesz transform in uniform and general domains. (English) Zbl 1436.31019 J. Reine Angew. Math. 758, 183-221 (2020). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 42B20 42B37 PDFBibTeX XMLCite \textit{M. Mourgoglou} and \textit{X. Tolsa}, J. Reine Angew. Math. 758, 183--221 (2020; Zbl 1436.31019) Full Text: DOI arXiv
Azzam, Jonas; Mourgoglou, Mihalis Tangent measures of elliptic measure and applications. (English) Zbl 1469.31016 Anal. PDE 12, No. 8, 1891-1941 (2019). Reviewer: Stamatis Pouliasis (Thessaloniki) MSC: 31B15 PDFBibTeX XMLCite \textit{J. Azzam} and \textit{M. Mourgoglou}, Anal. PDE 12, No. 8, 1891--1941 (2019; Zbl 1469.31016) Full Text: DOI arXiv
Azzam, Jonas; Mourgoglou, Mihalis; Tolsa, Xavier; Volberg, Alexander On a two-phase problem for harmonic measure in general domains. (English) Zbl 1428.31007 Am. J. Math. 141, No. 5, 1259-1279 (2019). MSC: 31B15 28A75 PDFBibTeX XMLCite \textit{J. Azzam} et al., Am. J. Math. 141, No. 5, 1259--1279 (2019; Zbl 1428.31007) Full Text: DOI arXiv
Mourgoglou, Mihalis On harmonic measure and rectifiability in uniform domains. (English) Zbl 1426.31010 J. Geom. Anal. 29, No. 2, 1193-1205 (2019). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B20 28A75 28A78 PDFBibTeX XMLCite \textit{M. Mourgoglou}, J. Geom. Anal. 29, No. 2, 1193--1205 (2019; Zbl 1426.31010) Full Text: DOI
Akman, Murat; Azzam, Jonas; Mourgoglou, Mihalis Absolute continuity of harmonic measure for domains with lower regular boundaries. (English) Zbl 1429.31003 Adv. Math. 345, 1206-1252 (2019). Reviewer: Georgios Psaradakis (Mannheim) MSC: 31B15 28A75 28A78 31B05 35J25 PDFBibTeX XMLCite \textit{M. Akman} et al., Adv. Math. 345, 1206--1252 (2019; Zbl 1429.31003) Full Text: DOI arXiv Link
Garnett, John; Mourgoglou, Mihalis; Tolsa, Xavier Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions. (English) Zbl 1396.28005 Duke Math. J. 167, No. 8, 1473-1524 (2018). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 26B15 28A78 31A15 31B05 35J25 49Q15 PDFBibTeX XMLCite \textit{J. Garnett} et al., Duke Math. J. 167, No. 8, 1473--1524 (2018; Zbl 1396.28005) Full Text: DOI arXiv Euclid
Azzam, Jonas; Mourgoglou, Mihalis Tangent measures and absolute continuity of harmonic measure. (English) Zbl 1396.31002 Rev. Mat. Iberoam. 34, No. 1, 305-330 (2018). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 28A75 28A78 PDFBibTeX XMLCite \textit{J. Azzam} and \textit{M. Mourgoglou}, Rev. Mat. Iberoam. 34, No. 1, 305--330 (2018; Zbl 1396.31002) Full Text: DOI arXiv
Azzam, Jonas; Mourgoglou, Mihalis; Tolsa, Xavier The one-phase problem for harmonic measure in two-sided NTA domains. (English) Zbl 1376.31007 Anal. PDE 10, No. 3, 559-588 (2017). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 31B25 31A15 31B15 35R35 PDFBibTeX XMLCite \textit{J. Azzam} et al., Anal. PDE 10, No. 3, 559--588 (2017; Zbl 1376.31007) Full Text: DOI arXiv
Azzam, Jonas; Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Mourgoglou, Mihalis; Tolsa, Xavier; Volberg, Alexander Rectifiability of harmonic measure. (English) Zbl 1354.31004 Geom. Funct. Anal. 26, No. 3, 703-728 (2016). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B05 28A75 42B20 PDFBibTeX XMLCite \textit{J. Azzam} et al., Geom. Funct. Anal. 26, No. 3, 703--728 (2016; Zbl 1354.31004) Full Text: DOI arXiv
Mourgoglou, Mihalis Uniform domains with rectifiable boundaries and harmonic measure. arXiv:1505.06167 Preprint, arXiv:1505.06167 [math.CA] (2015). MSC: 31A15 28A75 28A78 BibTeX Cite \textit{M. Mourgoglou}, ``Uniform domains with rectifiable boundaries and harmonic measure'', Preprint, arXiv:1505.06167 [math.CA] (2015) Full Text: arXiv OA License
Azzam, Jonas; Mourgoglou, Mihalis; Tolsa, Xavier Rectifiability of harmonic measure in domains with porous boundaries. arXiv:1505.06088 Preprint, arXiv:1505.06088 [math.CA] (2015). MSC: 31A15 28A75 42B20 BibTeX Cite \textit{J. Azzam} et al., ``Rectifiability of harmonic measure in domains with porous boundaries'', Preprint, arXiv:1505.06088 [math.CA] (2015) Full Text: arXiv OA License