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Log-Sobolev inequalities for semi-direct product operators and applications

Abstract : We prove logarithmic Sobolev inequalities for semi-direct product operators (see definition in Section 1). We apply our main results to examples of operators and provide some applications to ultracontractive bounds of semigroups. Hardy's inequalities are proved and use to study some operators of Grushin's type.
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https://hal.archives-ouvertes.fr/hal-01075891
Contributor : Patrick Maheux <>
Submitted on : Monday, October 20, 2014 - 3:53:37 PM
Last modification on : Monday, October 29, 2018 - 3:30:04 PM
Document(s) archivé(s) le : Wednesday, January 21, 2015 - 11:01:58 AM

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  • HAL Id : hal-01075891, version 1
  • ARXIV : 1412.1627

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Piero d'Ancona, Patrick Maheux, Vittoria Pierfelice. Log-Sobolev inequalities for semi-direct product operators and applications. Mathematische Zeitschrift, Springer, 2016, 283 (1-2), pp.103-131. ⟨hal-01075891⟩

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