1 citations · 1 across the 2 of their papers we have counts for
6 papers
Gamma-convergence of Cheeger energies with respect to increasing distances
Danka Lučić, Enrico Pasqualetto
We prove a -convergence result for Cheeger energies along sequences of metric measure spaces, where the measure space is kept fixed, while distances are monotonically converging…
Characterisation of upper gradients on the weighted Euclidean space and applications
Danka Lučić, Enrico Pasqualetto, Tapio Rajala
In the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and…
Dimension estimates for the boundary of planar Sobolev extension domains
Danka Lučić, Tapio Rajala, Jyrki Takanen
We prove an asymptotically sharp dimension upper-bound for the boundary of bounded simply-connected planar Sobolev -extension domains via the weak mean porosity of the bou…
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…
Infinitesimal Hilbertianity of weighted Riemannian manifolds
Danka Lučić, Enrico Pasqualetto
The main result of this paper is the following: any `weighted' Riemannian manifold - i.e. endowed with a generic non-negative Radon measure - is `infinitesimally Hilb…
The Serre-Swan theorem for normed modules
Danka Lučić, Enrico Pasqualetto
The aim of this note is to analyse the structure of the -normed -modules over a metric measure space. These are a tool that has been introduced by N. Gigli to develop a d…