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

Autor:	D'Ancona, Piero, Maheux, Patrick, Pierfelice, Vittoria
Rok vydání:	2014
Předmět:	Mathematics - Analysis of PDEs Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1412.1627 Zobrazit plný text záznamu View this record from Arxiv