Perimeter of sublevel sets in infinite dimensional spaces

Details Perimeter of sublevel sets in infinite dimensional spaces Perimeter of sublevel sets in infinite dimensional spaces

2011-02-18

arxiv.org/abs/1102.3860v1

Mathematics

Functional Analysis

Scientific paper

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.

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