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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A generalized Poincaré inequality for Gaussian measures


Author: William Beckner
Journal: Proc. Amer. Math. Soc. 105 (1989), 397-400
MSC: Primary 42C15; Secondary 42C05, 58G32, 60G15
MathSciNet review: 954373
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Abstract: New inequalities are obtained which interpolate in a sharp way between the Poincaré inequality and the logarithmic Sobolev inequality for both Gaussian measure and spherical surface measure.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0954373-7
PII: S 0002-9939(1989)0954373-7
Article copyright: © Copyright 1989 American Mathematical Society