Coercive Inequalities and U-Bounds on Step-Two Carnot Groups

arxiv（2021）

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摘要

We prove Poincaré and Log β -Sobolev inequalities for a class of probability measures on step-two Carnot groups.

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关键词

Poincare inequality, Logarithmic-Sobolev inequality, Carnot groups, Sub-gradient, Probability measures, Kaplan norm

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