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A generalized Poincaré inequality for Gaussian measures

  • Beckner W
Proceedings of the American Mathematical Society (1989) 105(2) 397-400
DOI: 10.1090/s0002-9939-1989-0954373-7
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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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APA

Beckner, W. (1989). A generalized Poincaré inequality for Gaussian measures. Proceedings of the American Mathematical Society, 105(2), 397–400. https://doi.org/10.1090/s0002-9939-1989-0954373-7

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