The Poincaré inequality and entire functions

Author:
J. Michael Pearson

Journal:
Proc. Amer. Math. Soc. **118** (1993), 1193-1197

MSC:
Primary 32A15

DOI:
https://doi.org/10.1090/S0002-9939-1993-1152286-2

MathSciNet review:
1152286

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Abstract: Inequalities for spaces of entire functions on , which generalize the Poincaré inequality for Gaussian measure, are obtained. The relationship between these inequalities and hypercontractive estimates for diffusion semigroups are discussed.

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DOI:
https://doi.org/10.1090/S0002-9939-1993-1152286-2

Article copyright:
© Copyright 1993
American Mathematical Society