Coercive inequalities in higher-dimensional anisotropic heisenberg group

ANALYSIS AND MATHEMATICAL PHYSICS（2021）

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摘要

In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincaré and β -Logarithmic Sobolev inequalities for measures as a function of this fundamental solution.

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关键词

Poincaré inequality,Logarithmic Sobolev inequality,Anisotropic Heisenberg group,Sub-gradient,Fundamental solution,Probability measures

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