Perimeter of sublevel sets in infinite dimensional spaces
Vicent Caselles, Alessandra Lunardi, Michele Miranda, Matteo Novaga · Advances in Calculus of Variations · 2011
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.