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Logarithmic Sobolev inequalities and the growth of norms

Authors:	O S Rothaus

Institution:	Department of Mathematics, Cornell University, Ithaca, New York 14853

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.

Keywords:

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