Beckner inequality on finite- and infinite-dimensional manifolds
type: Item
instance of: scholarly article
title: Beckner inequality on finite- and infinite-dimensional manifolds
zbMATH Open document ID: 1123.58021
author: Pingji Deng
author: Fengyu Wang
published in: Chinese Annals of Mathematics. Series B
publication date: 2007-02-15T00:00:00Z
review text: The authors use the dimension-free Harnack inequality, the coupling method, and Bakry-Emery's argument in order to present some explicit lower bounds for the constant of the Beckner type inequality on compact manifolds. As applications, the Beckner inequality and the transportation cost inequality are established for a class of continuous spin systems. In particular, some results from [\textit{F.-Y. Wang}, Ann. Probab. 27, No.~2, 653--663 (1999; Zbl 0948.58023) and \textit{J.-D. Deuschel} and \textit{D. W. Stroock}, J.~Funct. Anal. 92, No.~1, 30--48 (1990; Zbl 0705.60066)] are generalized.
reviewed by: Kun Soo Chang
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 82C21
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 5127382
zbMATH Keywords: Beckner inequality
zbMATH Keywords: continuous spin systems
zbMATH Keywords: transportation cost inequality
MaRDI profile type: Publication
full work available at URL: s11401-004-0317-8
OpenAlex ID: W2011906230
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Wikidata QID: Q125627280
DOI: 10.1007/S11401-004-0317-8
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description: scientific article; zbMATH DE number 5127382