A. Lunardi

activity

20082021

most citedInvariant Measures and Maximal L^2 Regularity for Nonautonomous Ornstein-Uhlenbeck Equations

25 citations · 78 across the 16 of their papers we have counts for

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4 papers · 1 filter

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.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,…

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…