Optimal subelliptic super-Poincaré and isoperimetric inequalities on stratified Lie groups
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910907215380480 |
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| author | Qiu, Yaozhong W. |
| author_facet | Qiu, Yaozhong W. |
| contents | We prove $q$-super-Poincaré 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13430 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal subelliptic super-Poincaré and isoperimetric inequalities on stratified Lie groups Qiu, Yaozhong W. Probability Functional Analysis 26D10, 60J60 We prove $q$-super-Poincaré 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. |
| title | Optimal subelliptic super-Poincaré and isoperimetric inequalities on stratified Lie groups |
| topic | Probability Functional Analysis 26D10, 60J60 |
| url | https://arxiv.org/abs/2411.13430 |