A Bakry-Émery criterion for weighted contractivity and L²-Hardy inequalities
File(s)
Author(s)
Qiu, Yaozhong
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.
2
-Hardy inequality holds, and we give a Bakry-Emery type ´
criterion for the former. We then give some applications.
Date Issued
2024-07-09
Date Acceptance
2024-04-09
Citation
Communications in Contemporary Mathematics, 2024
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)
License URL
Identifier
https://www.worldscientific.com/doi/abs/10.1142/S0219199724500238?srsltid=AfmBOopd38gIZkqD55CdQapF8pXa-cnIzROcOiFMQJ6UKCe2fPBx7AVl
Publication Status
Published online
Date Publish Online
2024-07-09