A note on the equivalence of super-Poincaré inequality
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866915992091754496 |
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| author | Chen, Xin Yang, Qiuchen |
| author_facet | Chen, Xin Yang, Qiuchen |
| contents | In this paper we will study the equivalence between super-Poincaré inequality and some log-Sobolev type inequalities, including weak log-Sobolev inequality and super log-Sobolev inequality. The explicit relations between associated rate functions will also be established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07411 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on the equivalence of super-Poincaré inequality Chen, Xin Yang, Qiuchen Probability Functional Analysis In this paper we will study the equivalence between super-Poincaré inequality and some log-Sobolev type inequalities, including weak log-Sobolev inequality and super log-Sobolev inequality. The explicit relations between associated rate functions will also be established. |
| title | A note on the equivalence of super-Poincaré inequality |
| topic | Probability Functional Analysis |
| url | https://arxiv.org/abs/2605.07411 |