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Pré-Publication, Document De Travail Année : 2010

Super Logarithmic Sobolev inequalities and Nash-type inequalities for sub-markovian symmetric semigroups

Résumé

We study relationships between Logarithmic Sobolev inequalities with one parameter of Davies-Simon type, energy-entropy inequality, Nash-type inequality and Sobolev-type inequalities. The inequalities of Sobolev-type apply in the general setting of symmetric sub-Markovian semigroups (and some generalizations). We provide several examples of application of theses results for ultracontractive semigroups but also for some non-ultracontractive like Ornstein-Ulhenbeck semigroup.
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Dates et versions

hal-00465177 , version 1 (19-03-2010)
hal-00465177 , version 2 (20-10-2014)
hal-00465177 , version 3 (20-11-2014)

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  • HAL Id : hal-00465177 , version 1

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Marco Biroli, Patrick Maheux. Super Logarithmic Sobolev inequalities and Nash-type inequalities for sub-markovian symmetric semigroups. 2010. ⟨hal-00465177v1⟩
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