Poincaré inequalities with exact missing terms on homogeneous groups
Ozawa T. Suragan D.
April 2021Mathematical Society of Japan
Journal of the Mathematical Society of Japan
2021#73Issue 2497 - 503 pp.
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.
Homogeneous group , Optimal constant , Poincaré inequality , Sharp remainder
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Department of Applied Physics, Waseda University, Tokyo, 169-8555, Japan
Department of Mathematics, Nazarbayev University, 53 Kabanbay Batyr Ave, Astana, 010000, Kazakhstan
Department of Applied Physics
Department of Mathematics
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