32 citations · 140 across the 39 of their papers we have counts for
6 papers · 1 filter
Universal infinitesimal Hilbertianity of sub-Riemannian manifolds
Enrico Le Donne, Danka Lučić, Enrico Pasqualetto
We prove that sub-Riemannian manifolds are infinitesimally Hilbertian (i.e., the associated Sobolev space is Hilbert) when equipped with an arbitrary Radon measure. The result foll…
Rectifiability of the reduced boundary for sets of finite perimeter over RCD spaces
Elia Bruè, Enrico Pasqualetto, Daniele Semola
This note is devoted to the study of sets of finite perimeter over RCD metric measure spaces. Its aim is to complete the picture about the generalization of De Giorgi's theo…
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…
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…
Quasi-continuous vector fields on RCD spaces
Clément Debin, Nicola Gigli, Enrico Pasqualetto
In the existing language for tensor calculus on RCD spaces, tensor fields are only defined m-a.e.. In this paper we introduce the concept of tensor field defined `2-capacity-a.e.'…
Direct and inverse limits of normed modules
Enrico Pasqualetto
The aim of this note is to study existence and main properties of direct and inverse limits in the category of normed -modules (in the sense of Gigli) over a metric measure sp…