On the Ornstein–Uhlenbeck operator in convex subsets of Banach spaces
Gianluca Cappa · Studia Mathematica · 2019
We study the Ornstein–Uhlenbeck operator and the Ornstein–Uhlenbeck semigroup in an open convex subset of an infinite-dimensional separable Banach space $X$. This is done by finite dimensional approximation. In particular we prove logarithmic-Sobolev