19 citations · 41 across the 12 of their papers we have counts for
3 papers · 1 filter
Representation theorems for normed modules
Simone Di Marino, Danka Lučić, Enrico Pasqualetto
In this paper we study the structure theory of normed modules, which have been introduced by Gigli. The aim is twofold: to extend von Neumann's theory of liftings to the framework…
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Simone Di Marino, Danka Lučić, Enrico Pasqualetto
We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, i…
Linear Lipschitz and extension operators through random projection
Elia Bruè, Simone Di Marino, Federico Stra
We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and functions. This way we prove more directl…