Some remarks on weighted logarithmic Sobolev inequality
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🧮 math.PR
math.FA
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inequalitylogarithmicsobolevsomeweightedbobkov-ledouxcauchyconsequences
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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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