15 citations · 33 across the 19 of their papers we have counts for
4 papers · 1 filter
A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We prove a quantitative isoperimetric inequality for the Gaussian fractional perimeter using extension techniques. Though the exponent of the Fraenkel asymmetry is not sharp, the c…
On functions of bounded variation on convex domains in Hilbert spaces
L. Angiuli, S. Ferrari, D. Pallara
We study functions of bounded variation (and sets of finite perimeter) on a convex open set , being an infinite dimensional real Hilbert space. We relate the tota…
Ornstein-Uhlenbeck semigroups in infinite dimension
Alessandra Lunardi, Diego Pallara
This is a survey paper about Ornstein-Uhlenbeck semigroups in infinite dimension, and their generators. We start from the classical Ornstein-Uhlenbeck semigroup in Wiener spaces an…
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups
Alessandro Carbotti, Sebastiano Don, Diego Pallara +1
We prove the local minimality of halfspaces in Carnot groups for a class of nonlocal functionals usually addressed as nonlocal perimeters. Moreover, in a class of Carnot groups in…