Perimeter of sublevel sets in infinite dimensional spaces

Autor:	Caselles, Vicent, Lunardi, Alessandra, Miranda Jr, Michele, Novaga, Matteo
Rok vydání:	2011
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1102.3860 Zobrazit plný text záznamu View this record from Arxiv