BV functions in a Hilbert space with respect to a Gaussian measure
Luigi Ambrosio
Scuola Normale Superiore, Pisa, ItalyGiuseppe Da Prato
Scuola Normale Superiore, Pisa, ItalyDiego Pallara
Università degli Studi di Lecce, Italy
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