21 citations · 33 across the 14 of their papers we have counts for
4 papers · 1 filter
Characterizations of Sobolev spaces on sublevel sets in abstract Wiener spaces
Davide Addona, Giorgio Menegatti, Michele Miranda
In this paper we consider an abstract Wiener space and an open subset which satisfies suitable assumptions. For every we define the Sobol…
Characterization of BV functions on open domains: the Gaussian case and the general case
Davide Addona, Giorgio Menegatti, Michele Miranda
We provide three different characterizations of the space of the functions of bounded variation with respect to a centred non-degenerate Gaussian measure on open dom…
On integration by parts formula on open convex sets in Wiener spaces
Davide Addona, Giorgio Menegatti, Michele Miranda
In Euclidean space, it is well known that any integration by parts formula for a set of finite perimeter is expressed by the integration with respect to a measure …
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,…