BV functions in a Hilbert space with respect to a Gaussian measure

Luigi Ambrosio; Giuseppe Da Prato; Diego Pallara

doi:10.4171/rlm/580

JournalsrlmVol. 21, No. 4pp. 405–414

BV functions in a Hilbert space with respect to a Gaussian measure

Luigi Ambrosio
Scuola Normale Superiore, Pisa, Italy
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- zbMATH Open
Giuseppe Da Prato
Scuola Normale Superiore, Pisa, Italy
- MathSciNet
- zbMATH Open
Diego Pallara
Università degli Studi di Lecce, Italy

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Abstract

Functions of bounded variation in Hilbert spaces endowed with a Gaussian measure γ are studied, mainly in connection with Ornstein-Uhlenbeck semigroups for which γ is invariant.

Cite this article

Luigi Ambrosio, Giuseppe Da Prato, Diego Pallara, BV functions in a Hilbert space with respect to a Gaussian measure. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 21 (2010), no. 4, pp. 405–414

DOI 10.4171/RLM/580