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29 March 2024
 
  » arxiv » math/0611638

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Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups
Cyril Roberto ; Boguslaw Zegarlinski ;
Date 21 Nov 2006
Subject Probability; Functional Analysis
AbstractWe study coercive inequalities in Orlicz spaces associated to the probability measures on finite and infinite dimensional spaces which tails decay slower than the Gaussian ones. We provide necessary and sufficient criteria for such inequalities to hold and discuss relations between various classes of inequalities.
Source arXiv, math/0611638
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