A logarithmic Sobolev inequality on the real line

Pearson, J.

doi:10.1090/S0002-9939-97-03979-8

A logarithmic Sobolev inequality on the real line
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by J. Michael Pearson PDF

Proc. Amer. Math. Soc. 125 (1997), 3339-3345 Request permission

Abstract:

A new logarithmic Sobolev inequality for the real line is obtained. The inequality is obtained by applying a differentiation argument to a sharp Sobolev inequality due to Nagy, and is $L^p$ rather that $L^2$ in structure.

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