Some remarks on weighted logarithmic Sobolev inequality

Details Some remarks on weighted logarithmic Sobolev inequality Some remarks on weighted logarithmic Sobolev inequality

2010-05-21

arxiv.org/abs/1005.3908v1

Mathematics

Probability

Scientific paper

We give here a simple proof of weighted logarithmic Sobolev inequality, for
example for Cauchy type measures, with optimal weight, sharpening results of
Bobkov-Ledoux. Some consequences are also discussed.

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