Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
Luigi Ambrosio, Alessio Figalli (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
Similarity:
We study points of density of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this class of points. Here density is formulated in terms of the pointwise behaviour of the Ornstein-Uhlembeck semigroup.