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math.PR2014
Surface measures in infinite dimension
Giuseppe Da Prato, Alessandra Lunardi, Luciano Tubaro
We construct surface measures associated to Gaussian measures in separable Banach spaces, and we prove several properties including an integration by parts formula.
math.FA2014
BV functions on convex domains in Wiener spaces
Alessandra Lunardi, Michele Miranda, Diego Pallara
We study functions of bounded variation defined in an abstract Wiener space X, relating the variation of a function u on a convex open set O in X to the behavior near t=0 of T(t)u,…