Lyapunov conditions for logarithmic Sobolev and Super Poincar\'e inequality
Probability
2010-04-13 v1
Abstract
We show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincar\'e inequality (for instance logarithmic Sobolev or -Sobolev). The case of Poincar\'e and weak Poincar\'e inequalities was studied in Bakry and al. This approach allows us to recover and extend in an unified way some known criteria in the euclidean case (Bakry-Emery, Wang, Kusuoka-Stroock ...).
Keywords
Cite
@article{arxiv.0712.0235,
title = {Lyapunov conditions for logarithmic Sobolev and Super Poincar\'e inequality},
author = {Patrick Cattiaux and Arnaud Guillin and Feng-Yu Wang and Liming Wu},
journal= {arXiv preprint arXiv:0712.0235},
year = {2010}
}