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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Sharp Log-Sobolev Inequalities

Author(s): Oscar S. Rothaus
Journal: Proc. Amer. Math. Soc. 126 (1998), 2903-2904.
MSC (1991): Primary 46E35, 46E39
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Abstract | References | Similar articles | Additional information

Abstract: We show existence of a wide variety of Log-Sobolev inequalities in which the constant is exactly that required by the Poincaré inequality which may be inferred from the Log-Sobolev.


References:

[1]
O. S. Rothaus, Diffusion on Compact Riemannian Manifolds and Logarithmic Sobolev Inequalities, Journal of Functional Analysis 42, #1 (June 1981), 102-109. MR 83f:58080a


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Additional Information:

Oscar S. Rothaus
Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853-7901
Email: rothaus@math.cornell.edu

DOI: 10.1090/S0002-9939-98-04406-2
PII: S 0002-9939(98)04406-2
Received by editor(s): September 27, 1996
Received by editor(s) in revised form: February 24, 1997
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1998, American Mathematical Society


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