THE POINCARE INEQUALITY AND ENTIRE-FUNCTIONS

Authors
PEARSON JM
Citation
Jm. Pearson, THE POINCARE INEQUALITY AND ENTIRE-FUNCTIONS, Proceedings of the American Mathematical Society, 118(4), 1993, pp. 1193-1197
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
118
Issue
4
Year of publication
1993
Pages
1193 - 1197
Database
ISI
SICI code
0002-9939(1993)118:4<1193:TPIAE>2.0.ZU;2-W
Abstract
Inequalities for spaces of entire functions on C(n), which generalize the Poincare inequality for Gaussian measure, are obtained. The relati onship between these inequalities and hypercontractive estimates for d iffusion semigroups are discussed.