MV
Michele Villa
math.CAmath.MGmath.APmath.COmath.FA
On Valency
published · living versionsW_xzntk9cz·v1 · currentpublished
Any uniformly rectifiable set is contained in a set with Poincaré inequality
with Matthew Hyde, Ivan Yuri Violo
1 version
Preprints & journals
19 papers in the corpus · 2017–2025Smooth extensions of Sobolev boundary data in corkscrew domains with uniformly rectifiable boundaries2511.10137v1 · Jonas Azzam, Mihalis Mourgoglou, Michele Villa2025 · 0 citationsarXiv
Quantitative Carleson's conjecture for Ahlfors regular domains2505.10666v2 · Emily Casey, Xavier Tolsa, Michele Villa2025 · 0 citationsarXiv
Ricci curvature bounded below and uniform rectifiability2311.09907v1 · Matthew Hyde, Michele Villa, Ivan Yuri Violo2023 · 0 citationsarXiv
Carleson's conjecture in higher dimensions2310.12316v3 · Ian Fleschler, Xavier Tolsa, Michele Villa2023 · 2 citationsarXiv
Quantitative differentiability on uniformly rectifiable sets2306.13017v2 · Jonas Azzam, Mihalis Mourgoglou, Michele Villa2023 · 0 citationsarXiv
Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formula, and Carleson's conjecture in higher dimensions2306.06187v6 · Ian Fleschler, Xavier Tolsa, Michele Villa2023 · 0 citationsarXiv
Analytic capacity and dimension of sets with plenty of big projections2204.05804v2 · Damian Dabrowski, Michele Villa2022 · 1 citationTrans. Amer. Math. Soc. 378 (2025), no. 6, 3897-3950
Structure of sets with nearly maximal Favard length2203.01279v1 · Alan Chang, Damian Dabrowski, Tuomas Orponen et al.2022 · 5 citationsAnalysis & PDE 17 (2024) 1473-1500
A note on the Hausdorff dimension of uniformly non flat sets with plenty of big projections2109.10087v2 · Michele Villa2021 · 0 citationsarXiv
Integrability of orthogonal projections, and applications to Furstenberg sets2107.04471v3 · Damian Dabrowski, Tuomas Orponen, Michele Villa2021 · 12 citationsarXiv
Cone and paraboloid points of arbitrary subsets of Euclidean space2103.01789v2 · Matthew Hyde, Michele Villa2021 · 1 citationarXiv
Sub-elliptic boundary value problems in flag domains2006.08293v1 · Tuomas Orponen, Michele Villa2020 · 6 citationsarXiv
Necessary condition for the boundedness of the Riesz transform on Heisenberg groups2004.01117v1 · Damian Dabrowski, Michele Villa2020 · 0 citationsarXiv
A square function involving the center of mass and rectifiability1910.13747v2 · Michele Villa2019 · 4 citationsarXiv
A proof of Carleson's -conjecture1909.08581v2 · Benjamin Jaye, Xavier Tolsa, Michele Villa2019 · 2 citationsarXiv
Higher dimensional Jordan curves1908.10289v2 · Michele Villa2019 · 7 citationsarXiv
-symmetric measures and related singular integrals1906.10866v2 · Michele Villa2019 · 3 citationsarXiv
Quantitative Comparisons of Multiscale Geometric Properties1905.00101v2 · Jonas Azzam, Michele Villa2019 · 16 citationsAnalysis & PDE 14 (2021) 1873-1904
Tangent points of lower content -regular sets and numbers1712.02823v4 · Michele Villa2017 · 3 citationsarXiv
Career total: 24 works. 19 are in this corpus.
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