A refinement of the Poincar&#233; inequality for Kolmogorov operators on <inline-formula><graphic file="1029-242X-2005-290493-i1.gif"/></inline-formula>

<p/> <p>We give a refinement of the Poincar&#233; inequality for Kolmogorov operators on <inline-formula><graphic file="1029-242X-2005-290493-i2.gif"/></inline-formula>. This refinement yields some regularity result of the corresponding semigroups.</p&g...

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Bibliographic Details
Main Author: Fujita Yasuhiro
Format: Article
Language:English
Published: SpringerOpen 2005-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2005/290493
Description
Summary:<p/> <p>We give a refinement of the Poincar&#233; inequality for Kolmogorov operators on <inline-formula><graphic file="1029-242X-2005-290493-i2.gif"/></inline-formula>. This refinement yields some regularity result of the corresponding semigroups.</p>
ISSN:1025-5834
1029-242X