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Article Dans Une Revue Journal of Functional Analysis Année : 2009

Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality

Résumé

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 ...).
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Dates et versions

hal-00193261 , version 1 (03-12-2007)

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Patrick Cattiaux, Arnaud Guillin, Feng-Yu Wang, Liming Wu. Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality. Journal of Functional Analysis, 2009, 256 (6), pp.1821-1841. ⟨hal-00193261⟩
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