Logarithmic Sobolev trace inequality

Author:
Young Ja Park

Translated by:

Journal:
Proc. Amer. Math. Soc. **132** (2004), 2075-2083

MSC (2000):
Primary 46E35, 42C99

DOI:
https://doi.org/10.1090/S0002-9939-03-07329-5

Published electronically:
December 31, 2003

MathSciNet review:
2053980

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Abstract | References | Similar Articles | Additional Information

Abstract: A logarithmic Sobolev trace inequality is derived. Bounds on the best constant for this inequality from above and below are investigated using the sharp Sobolev inequality and the sharp logarithmic Sobolev inequality.

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Additional Information

**Young Ja Park**

Affiliation:
Department of Mathematics, University of Texas at Austin, Austin, Texas 78712-1082

Address at time of publication:
Department of Applied Mathematics, Sejong University, 98 Kunja-dong, Kwangjin-ku, Seoul, South Korea 143-747

Email:
ypark@math.utexas.edu, O_park@hanmail.net

DOI:
https://doi.org/10.1090/S0002-9939-03-07329-5

Keywords:
Sobolev trace inequalities,
logarithmic Sobolev inequalities,
logarithmic uncertainty principle

Received by editor(s):
April 18, 2001

Received by editor(s) in revised form:
July 1, 2001, April 19, 2002, and April 9, 2003

Published electronically:
December 31, 2003

Communicated by:
Andreas Seeger

Article copyright:
© Copyright 2003
American Mathematical Society