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arXiv · 2404.00293

Some super-Poincar\'e inequalities for gaussian-like measures on stratified Lie groups

Yaozhong W. Qiu
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Abstract

We continue the $U$-bound program initiated in [J. Funct. Anal. 258, 814-851 (2010)] and prove super-Poincar\'e inequalities for a class of subelliptic probability measures defined on M\'etivier groups, the main ingredient in the proof being a Hardy-type inequality. In doing so, we recover and extend some previous results from the probabilistic viewpoint.

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Yaozhong W. Qiu. 2024-03-30. Some super-Poincar\'e inequalities for gaussian-like measures on stratified Lie groups. https://arxiv.org/abs/2404.00293

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