Open Access

A refinement of the Poincaré inequality for Kolmogorov operators on https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.25/MediaObjects/13660_2004_Article_1520_IEq1_HTML.gif

Journal of Inequalities and Applications20052005:290493

DOI: 10.1155/JIA.2005.25

Received: 28 June 2004

Published: 1 February 2005

Abstract

We give a refinement of the Poincaré inequality for Kolmogorov operators on https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.25/MediaObjects/13660_2004_Article_1520_IEq2_HTML.gif . This refinement yields some regularity result of the corresponding semigroups.

Authors’ Affiliations

(1)
Department of Mathematics, Toyama University

Copyright

© Fujita. 2005