On the Ornstein-Uhlenbeck operator in convex sets of Banach spaces
Analysis of PDEs
2017-09-12 v4 Functional Analysis
Abstract
We study the Ornstein-Uhlenbeck operator and the Ornstein-Uhlenbeck semigroup in an open convex subset of an infinite dimensional separable Banach space . This is done by finite dimensional approximation. In particular we prove Logarithmic-Sobolev and Poincar\'e inequalities, and thanks to these inequalities we deduce the spectral properties of the Ornstein-Uhlenbeck operator.
Keywords
Cite
@article{arxiv.1503.02836,
title = {On the Ornstein-Uhlenbeck operator in convex sets of Banach spaces},
author = {Gianluca Cappa},
journal= {arXiv preprint arXiv:1503.02836},
year = {2017}
}