Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups

Details Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups

2006-11-21

arxiv.org/abs/math/0611638v1

Mathematics

Probability

Scientific paper

We 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.

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