A. Lunardi

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20112020

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math.FA2020

Time regularity for generalized Mehler semigroups

Alessandra Lunardi

We study continuity and Hölder continuity of $t \mapsto P_{t} f$ , where $P_{t}$ is a generalized Mehler semigroup in $C_{b} (X)$ , the space of the continuous and bounded functions from a Ba…

math.FA2018

BV functions in Hilbert spaces

Giuseppe Da Prato, Alessandra Lunardi

We study $B V$ functions in a Hilbert space $X$ endowed with a probability measure $ν$ , assuming that $ν$ is Fomin differentiable along suitable directions. We establish basic chara…

math.FA2011

Perimeter of sublevel sets in infinite dimensional spaces

Vicent Caselles, Alessandra Lunardi, Michele Miranda +1

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 explici…