2 citations · 10 across the 15 of their papers we have counts for
29 papers
Sobolev and BV functions on spaces via the short-time behaviour of the heat kernel
Camillo Brena, Enrico Pasqualetto, Andrea Pinamonti
In the setting of finite-dimensional spaces, we characterize the -Sobolev spaces for and the space of functions of bounded variation in term…
Limits and colimits in the category of Banach -modules
Enrico Pasqualetto
We prove that the category of Banach -modules over a given -finite measure space is both complete and cocomplete, which means that it admits all small limits and colimits.
A short proof of the existence of master test plans
Enrico Pasqualetto
The aim of this brief note is to provide a quick and elementary proof of the following known fact: on a metric measure space whose Sobolev space is separable, there exists a test p…
Variational problems concerning sub-Finsler metrics in Carnot groups
Fares Essebei, Enrico Pasqualetto
This paper is devoted to the study of geodesic distances defined on a subdomain of a given Carnot group, which are bounded both from above and from below by fixed multiples of the…
Constancy of the dimension in codimension one and locality of the unit normal on spaces
Elia Bruè, Enrico Pasqualetto, Daniele Semola
The aim of this paper is threefold. We first prove that, on spaces, the boundary measure of any set with finite perimeter is concentrated on the -regular set…
On master test plans for the space of BV functions
Francesco Nobili, Enrico Pasqualetto, Timo Schultz
We prove that on an arbitrary metric measure space a countable collection of test plans is sufficient to recover all functions and their total variation measures. In the s…