Optimal Weighted Poincaré and Log-Sobolev Inequalities for Cauchy Measures

Details Optimal Weighted Poincaré and Log-Sobolev Inequalities for Cauchy Measures Optimal Weighted Poincaré and Log-Sobolev Inequalities for Cauchy Measures

2010-10-25

arxiv.org/abs/1010.5043v2

Mathematics

Probability

This paper has been withdrawn by the author due to a crucial error

Scientific paper

In this paper, We establish the weighted Poincar\'{e} inequalities and
Log-Sobolev inequalities for Cauchy distributions with optimal weight
functions.

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