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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Entropy-cost inequalities for diffusion semigroups with curvature unbounded below


Author: Feng-Yu Wang
Journal: Proc. Amer. Math. Soc. 136 (2008), 3331-3338
MSC (2000): Primary 58G32, 60J60
Published electronically: May 5, 2008
MathSciNet review: 2407100
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Abstract: The weighted log-Sobolev inequality and the entropy-cost inequality are established for a class of diffusion semigroups with curvature unbounded below. Concrete examples are presented to illustrate the main results.


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Additional Information

Feng-Yu Wang
Affiliation: School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People’s Republic of China – and – Department of Mathematics, Swansea University, SA2 8PP, Wales, United Kingdom
Email: wangfy@bnu.edu.cn, F.Y.Wang@swansea.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09237-X
PII: S 0002-9939(08)09237-X
Keywords: Curvature, diffusion semigroup, entropy-cost inequality, log-Sobolev inequality.
Received by editor(s): August 15, 2006
Received by editor(s) in revised form: April 12, 2007
Published electronically: May 5, 2008
Additional Notes: This work was supported in part by the Creative Research Group Fund of the National Natural Science Foundation of China (No. 10121101) and RFDP(20040027009).
Communicated by: Richard C. Bradley
Article copyright: © Copyright 2008 American Mathematical Society