Perimeter of sublevel sets in infinite dimensional spaces
  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. 
Vicent Caselles, Alessandra Lunardi, Michele Miranda Jr, Matteo Novaga
math.FA