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April, 2021 Poincaré inequalities with exact missing terms on homogeneous groups
Tohru OZAWA, Durvudkhan SURAGAN
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J. Math. Soc. Japan 73(2): 497-503 (April, 2021). DOI: 10.2969/jmsj/83738373

Abstract

In this paper, we present exact missing terms for the Poincaré inequalities on homogeneous groups. We also discuss some consequences in the Euclidean cases. Thus, we have succeeded in finding a simple proof of the sharp Poincaré inequality for the Dirichlet Laplacian.

Funding Statement

The authors were supported in parts by the Nazarbayev University program 091019CRP2120 and the Nazarbayev University grant 240919FD3901. No new data was collected or generated during the course of this research.

Citation

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Tohru OZAWA. Durvudkhan SURAGAN. "Poincaré inequalities with exact missing terms on homogeneous groups." J. Math. Soc. Japan 73 (2) 497 - 503, April, 2021. https://doi.org/10.2969/jmsj/83738373

Information

Received: 13 November 2019; Published: April, 2021
First available in Project Euclid: 10 October 2020

Digital Object Identifier: 10.2969/jmsj/83738373

Subjects:
Primary: ‎39B62
Secondary: 22E30, 39B99

Rights: Copyright ©2021 Mathematical Society of Japan

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Vol.73 • No. 2 • April, 2021
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