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arXiv · 2411.13430

Optimal subelliptic super-Poincar\'e and isoperimetric inequalities on stratified Lie groups

Yaozhong W. Qiu
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Abstract

We prove $q$-super-Poincar\'e inequalities, $q \in [1, 2]$, for a class of exponential power type probability measures defined in terms of a norm in a number of subelliptic settings, primarily on stratified Lie groups but also in the Grushin and Heisenberg-Greiner settings. Our results include generically optimal isoperimetric inequalities for such probability measures.

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Yaozhong W. Qiu. 2024-11-20. Optimal subelliptic super-Poincar\'e and isoperimetric inequalities on stratified Lie groups. https://arxiv.org/abs/2411.13430

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