44 citations · 77 across the 19 of their papers we have counts for
Showing 2019 · math.MGShow all
2 papers · 2 filters
math.MG2019
Indecomposable sets of finite perimeter in doubling metric measure spaces
Paolo Bonicatto, Enrico Pasqualetto, Tapio Rajala
We study a measure-theoretic notion of connectedness for sets of finite perimeter in the setting of doubling metric measure spaces supporting a weak -Poincaré inequality. Th…
math.MG2019
Sharp estimate on the inner distance in planar domains
Danka Lučić, Enrico Pasqualetto, Tapio Rajala
We show that the inner distance inside a bounded planar domain is at most the one-dimensional Hausdorff measure of the boundary of the domain. We prove this sharp result by establi…