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 differentiability on uniformly rectifiable sets
Jonas Azzam, Mihalis Mourgoglou, Michele Villa
We prove quantitative differentiability estimates for functions defined on uniformly rectifiable subsets of the Euclidean space. More precisely, we show that a Dorronsoro-typ…