Perimeter of sublevel sets in infinite dimensional spaces
Functional Analysis
2011-02-21 v1
Abstract
We compare the perimeter measure with the Airault-Malliavin surface measure and we prove that all open convex subsets of abstract Wiener spaces have finite perimeter. By an explicit counter-example, we show that in general this is not true for compact convex domains.
Cite
@article{arxiv.1102.3860,
title = {Perimeter of sublevel sets in infinite dimensional spaces},
author = {Vicent Caselles and Alessandra Lunardi and Michele Miranda and Matteo Novaga},
journal= {arXiv preprint arXiv:1102.3860},
year = {2011}
}