Michele Villa

activity

20172023

most citedQuantitative Comparisons of Multiscale Geometric Properties

8 citations · 23 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.CA2023

Quantitative differentiability on uniformly rectifiable sets

Jonas Azzam, Mihalis Mourgoglou, Michele Villa

We prove $L^{p}$ quantitative differentiability estimates for functions defined on uniformly rectifiable subsets of the Euclidean space. More precisely, we show that a Dorronsoro-typ…

math.AP2023

Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formula, and Carleson's $ε^{2}$ conjecture in higher dimensions

Ian Fleschler, Xavier Tolsa, Michele Villa

The main aim of this article is to prove quantitative spectral inequalities for the Laplacian with Dirichlet boundary conditions. More specifically, we prove sharp quantitative sta…

Quantitative differentiability on uniformly rectifiable sets

Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formula, and Carleson's ε2 conjecture in higher dimensions

Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formula, and Carleson's $ε^{2}$ conjecture in higher dimensions