Lyapunov Conditions for Logarithmic Sobolev and Super Poincaré Inequality
نویسندگان
چکیده
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 [2]. This approach allows us to recover and extend in an unified way some known criteria in the euclidean case (BakryEmery, Wang, Kusuoka-Stroock ...).
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تاریخ انتشار 2008