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arXiv · 1005.3908

Some remarks on weighted logarithmic Sobolev inequality

Patrick Cattiaux·Arnaud Guillin·Liming Wu
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Abstract

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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Patrick Cattiaux, Arnaud Guillin, Liming Wu. 2010-05-21. Some remarks on weighted logarithmic Sobolev inequality. https://arxiv.org/abs/1005.3908

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