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Journal of Inequalities and Applications
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A refinement of the Poincaré inequality for Kolmogorov operators on

Journal of Inequalities and Applications volume 2005, Article number: 290493 (2005) Cite this article

Abstract

We give a refinement of the Poincaré inequality for Kolmogorov operators on. This refinement yields some regularity result of the corresponding semigroups.

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

    Yasuhiro Fujita

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  1. Yasuhiro Fujita
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Correspondence to Yasuhiro Fujita.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Fujita, Y. A refinement of the Poincaré inequality for Kolmogorov operators on. J Inequal Appl 2005, 290493 (2005). https://doi.org/10.1155/JIA.2005.25

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  • DOI: https://doi.org/10.1155/JIA.2005.25