Logarithmic Sobolev inequalities and the growth of $L^p$ norms
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- by O. S. Rothaus PDF
- Proc. Amer. Math. Soc. 126 (1998), 2309-2314 Request permission
Abstract:
We show that many of the recent results on exponential integrability of Lip 1 functions, when a logarithmic Sobolev inequality holds, follow from more fundamental estimates of the growth of $L^{p}$ norms under the same hypotheses.References
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Additional Information
- O. S. Rothaus
- Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
- Email: rothaus@math.cornell.edu
- Received by editor(s): January 10, 1997
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2309-2314
- MSC (1991): Primary 46E35, 46E39
- DOI: https://doi.org/10.1090/S0002-9939-98-04405-0
- MathSciNet review: 1452824