Some super-Poincaré inequalities for gaussian-like measures on stratified Lie groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914810882424832 |
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| author | Qiu, Yaozhong W. |
| author_facet | Qiu, Yaozhong W. |
| contents | We continue the $U$-bound program initiated in [J. Funct. Anal. 258, 814-851 (2010)] and prove super-Poincaré inequalities for a class of subelliptic probability measures defined on Métivier 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00293 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some super-Poincaré inequalities for gaussian-like measures on stratified Lie groups Qiu, Yaozhong W. Probability Functional Analysis 26D10, 60J60 We continue the $U$-bound program initiated in [J. Funct. Anal. 258, 814-851 (2010)] and prove super-Poincaré inequalities for a class of subelliptic probability measures defined on Métivier 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. |
| title | Some super-Poincaré inequalities for gaussian-like measures on stratified Lie groups |
| topic | Probability Functional Analysis 26D10, 60J60 |
| url | https://arxiv.org/abs/2404.00293 |