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A Bakry-Émery criterion for weighted contractivity and L²-Hardy inequalities

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Title: A Bakry-Émery criterion for weighted contractivity and L²-Hardy inequalities
Authors: Qiu, Y
Item Type: Journal Article
Abstract: We show a symmetric Markov diffusion semigroup satisfies a weighted contractivity condition if and only if a L 2 -Hardy inequality holds, and we give a Bakry-Emery type ´ criterion for the former. We then give some applications.
Issue Date: 9-Jul-2024
Date of Acceptance: 9-Apr-2024
URI: http://hdl.handle.net/10044/1/111181
DOI: 10.1142/S0219199724500238
ISSN: 0219-1997
Publisher: World Scientific Publishing
Journal / Book Title: Communications in Contemporary Mathematics
Copyright Statement: © 2024 World Scientific Publishing Co Pte Ltd. This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
Publication Status: Published online
Online Publication Date: 2024-07-09
Appears in Collections:Faculty of Natural Sciences
Mathematics



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