q -Poincaré Inequalities on Carnot Groups with Filiform Type Lie Algebra

Marianna Chatzakou,Serena Federico,Boguslaw Zegarlinski

Potential Analysis（2024）

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摘要

In this paper we prove (global) q - Poincaré 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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关键词

Global q-Poincaré inequalities,Probability measures,Sub-gradient,Carnot groups,Filiform Lie algebra

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