Michele Villa

activity

20172023

most citedQuantitative Comparisons of Multiscale Geometric Properties

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

collaborators

Showing 2022Show all

2 papers · 1 filter

math.CA2022★ 1 cited

Analytic capacity and dimension of sets with plenty of big projections

Damian Dąbrowski, Michele Villa

Our main result marks progress on an old conjecture of Vitushkin. We show that a compact set in the plane with plenty of big projections (PBP) has positive analytic capacity, along…

math.CA2022★ 5 cited

Structure of sets with nearly maximal Favard length

Alan Chang, Damian Dąbrowski, Tuomas Orponen +1

Let $E \subset B (1) \subset R^{2}$ be an $H^{1}$ measurable set with $H^{1} (E) < \infty$ , and let $L \subset R^{2}$ be a line segment with $\mat…