Perimeter of sublevel sets in infinite dimensional spaces
classification
🧮 math.FA
keywords
perimeterconvexmeasurespacesabstractairault-malliavincompactcompare
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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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