A generalized Poincaré inequality for Gaussian measures
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- by William Beckner PDF
- Proc. Amer. Math. Soc. 105 (1989), 397-400 Request permission
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.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 397-400
- MSC: Primary 42C15; Secondary 42C05, 58G32, 60G15
- DOI: https://doi.org/10.1090/S0002-9939-1989-0954373-7
- MathSciNet review: 954373