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

 

The Poincaré inequality and entire functions


Author: J. Michael Pearson
Journal: Proc. Amer. Math. Soc. 118 (1993), 1193-1197
MSC: Primary 32A15
MathSciNet review: 1152286
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Abstract: Inequalities for spaces of entire functions on $ {{\mathbf{C}}^n}$, 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: http://dx.doi.org/10.1090/S0002-9939-1993-1152286-2
PII: S 0002-9939(1993)1152286-2
Article copyright: © Copyright 1993 American Mathematical Society