A Bakry-Émery criterion for weighted contractivity and $L^2$-Hardy inequalities
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866912528254107648 |
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| author | Qiu, Yaozhong W. |
| author_facet | Qiu, Yaozhong W. |
| contents | We show a symmetric Markov diffusion semigroup satisfies a weighted contractivity condition if and only if a $L^2$-Hardy inequality holds, and we give a Bakry-Émery type criterion for the former. We then give some applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_08304 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Bakry-Émery criterion for weighted contractivity and $L^2$-Hardy inequalities Qiu, Yaozhong W. Functional Analysis Analysis of PDEs Probability 26D10, 60J60 We show a symmetric Markov diffusion semigroup satisfies a weighted contractivity condition if and only if a $L^2$-Hardy inequality holds, and we give a Bakry-Émery type criterion for the former. We then give some applications. |
| title | A Bakry-Émery criterion for weighted contractivity and $L^2$-Hardy inequalities |
| topic | Functional Analysis Analysis of PDEs Probability 26D10, 60J60 |
| url | https://arxiv.org/abs/2209.08304 |