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

Esther Bou Dagher,Bogusław Zegarliński

Potential Analysis（2021）

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Abstract
We prove Poincaré and Log β -Sobolev inequalities for a class of probability measures on step-two Carnot groups.
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Key words
Poincare inequality, Logarithmic-Sobolev inequality, Carnot groups, Sub-gradient, Probability measures, Kaplan norm
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