Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality

Abstract

We show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincaré inequality (for instance logarithmic Sobolev or $F$-Sobolev). The case of Poincaré and weak Poincaré 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 ...).

References in corpus (1)

• Mass transport and variants of the logarithmic Sobolev inequality

Cited by in corpus (1)

• A note on Talagrand's transportation inequality and logarithmic Sobolev inequality