A refinement of the Poincaré inequality for Kolmogorov operators on

Yasuhiro Fujita

doi:10.1155/JIA.2005.25

Research Article
Open Access

A refinement of the Poincaré inequality for Kolmogorov operators on

Yasuhiro Fujita¹Email author

Journal of Inequalities and Applications20052005:290493

https://doi.org/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 . This refinement yields some regularity result of the corresponding semigroups.

Authors’ Affiliations

(1)

Department of Mathematics, Toyama University, Toyama 930-8555, Japan

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Abstract

Authors’ Affiliations

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A refinement of the Poincaré inequality for Kolmogorov operators on