Optimal Weighted Poincaré and Log-Sobolev Inequalities for Cauchy Measures

Abstract

In this paper, We establish the weighted Poincaré inequalities and Log-Sobolev inequalities for Cauchy distributions with optimal weight functions.

This paper has been withdrawn by the author due to a crucial error

References in corpus (1)

• Transportation cost-information inequalities and applications to random dynamical systems and diffusions