Calculus of Variations and Geometric Measure Theory

L. Ambrosio - A. Figalli

Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces

created by figalli on 01 Sep 2010
modified on 14 Nov 2012


Accepted Paper

Inserted: 1 sep 2010
Last Updated: 14 nov 2012

Journal: Ann. Fac. Sci. Toulouse Math.
Year: 2010


We study points of density $1/2$ 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 $1/2$ is formulated in terms of the pointwise behaviour of the Ornstein-Uhlenbeck semigroup.

Tags: GeMeThNES