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

Luigi Ambrosio, Giuseppe Da Prato, Diego Pallara
2010 Rendiconti Lincei - Matematica e Applicazioni  
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.
doi:10.4171/rlm/580 fatcat:svfnzxv5ejhrra3cnqvcvljhde