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A logarithmic sobolev inequality on the Real Line
Author(s):
J.
Michael
Pearson
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3339-3345.
MSC (1991):
Primary 42A99;
Secondary 46E35
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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  rather that  in structure.
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Additional Information:
J.
Michael
Pearson
Affiliation:
Department of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762
Email:
pearson@math.msstate.edu
DOI:
10.1090/S0002-9939-97-03979-8
PII:
S 0002-9939(97)03979-8
Received by editor(s):
March 19, 1996
Received by editor(s) in revised form:
June 14, 1996
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
1997,
American Mathematical Society
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