2 papers
math.CA2025
Smooth extensions of Sobolev boundary data in corkscrew domains with uniformly rectifiable boundaries
Jonas Azzam, Mihalis Mourgoglou, Michele Villa
Given a corkscrew domain with uniformly rectifiable boundary, we construct a surjective trace map onto the Hajlasz-Sobolev space on the boundary from the space of functions o…
math.CA2025
Quantitative Carleson's conjecture for Ahlfors regular domains
Emily Casey, Xavier Tolsa, Michele Villa
In this article, we prove a quantitative version of Carleson's conjecture in higher dimension: we characterise those Ahlfors-David regular domains in $\mathbb{R}^{n…