BV functions in Hilbert spaces
Functional Analysis
2018-01-11 v1
Abstract
We study functions in a Hilbert space endowed with a probability measure , assuming that is Fomin differentiable along suitable directions. We establish basic characterizations, and we apply the general theory to relevant examples, including invariant measures of some stochastic PDEs.
Keywords
Cite
@article{arxiv.1801.03344,
title = {BV functions in Hilbert spaces},
author = {Giuseppe Da Prato and Alessandra Lunardi},
journal= {arXiv preprint arXiv:1801.03344},
year = {2018}
}