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Proceedings of the American Mathematical Society

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A logarithmic Sobolev inequality on the real line

Author: J. Michael Pearson
Journal: Proc. Amer. Math. Soc. 125 (1997), 3339-3345
MSC (1991): Primary 42A99; Secondary 46E35
MathSciNet review: 1402883
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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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Additional Information

J. Michael Pearson
Affiliation: Department of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762

Received by editor(s): March 19, 1996
Received by editor(s) in revised form: June 14, 1996
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 1997 American Mathematical Society