Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups |
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Authors: | C. Roberto B. Zegarliński |
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Affiliation: | Université de Marne la Vallée, Imperial College, London, UK |
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Abstract: | 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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Keywords: | Coercive inequalities Infinite dimensions Decay to equilibrium |
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