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arXiv · 2007.04689

$q$-Poincar\'e inequalities on Carnot Groups with filiform type Lie algebra

Marianna Chatzakou·Serena Federico·Boguslaw Zegarlinski
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Abstract

In this paper, we prove (global) $q$-Poincar\'e inequalities for probability measures on nilpotent Lie groups with filiform Lie algebra of any length. The probability measures under consideration have a density with respect to the Haar measure given as a function of a suitable homogeneous norm.

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Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski. 2020-07-09. $q$-Poincar\'e inequalities on Carnot Groups with filiform type Lie algebra. https://arxiv.org/abs/2007.04689

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