Functional inequalities for some generalised Mehler semigroups
Analysis of PDEs
2024-04-02 v1 Functional Analysis
Abstract
We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure , we prove functional integral inequalities with respect to , such as logarithmic Sobolev and Poincar\'{e} type. Consequently, some integrability properties of exponential functions with respect to are deduced.
Cite
@article{arxiv.2106.04241,
title = {Functional inequalities for some generalised Mehler semigroups},
author = {L. Angiuli and S. Ferrari and D. Pallara},
journal= {arXiv preprint arXiv:2106.04241},
year = {2024}
}