Sharp Log-Sobolev inequalities
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- by Oscar S. Rothaus PDF
- Proc. Amer. Math. Soc. 126 (1998), 2903-2904 Request permission
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
- O. S. Rothaus, Diffusion on compact Riemannian manifolds and logarithmic Sobolev inequalities, J. Functional Analysis 42 (1981), no. 1, 102–109. MR 620581, DOI 10.1016/0022-1236(81)90049-5
Additional Information
- Oscar S. Rothaus
- Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853-7901
- Email: rothaus@math.cornell.edu
- Received by editor(s): September 27, 1996
- Received by editor(s) in revised form: February 24, 1997
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2903-2904
- MSC (1991): Primary 46E35, 46E39
- DOI: https://doi.org/10.1090/S0002-9939-98-04406-2
- MathSciNet review: 1632105