Proceedings of the American Mathematical Society

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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
MathSciNet review: 1632105
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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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