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arXiv · 1801.03344

BV functions in Hilbert spaces

Giuseppe Da Prato·Alessandra Lunardi
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Abstract

We study $BV$ functions in a Hilbert space $X$ endowed with a probability measure $\nu$, assuming that $\nu$ 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.

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Giuseppe Da Prato, Alessandra Lunardi. 2018-01-10. BV functions in Hilbert spaces. https://arxiv.org/abs/1801.03344

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