Kernel estimates for a class of fractional Kolmogorov operators
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911999931187200 |
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| author | Porfido, Marianna Rhandi, Abdelaziz Tacelli, Cristian |
| author_facet | Porfido, Marianna Rhandi, Abdelaziz Tacelli, Cristian |
| contents | Assuming a weighted Nash type inequality for the generator $-A$ of a Markov semigroup, we prove a weighted Nash type inequality for its fractional power and deduce non-uniform bounds on the transition kernel corresponding to the Markov semigroup generated by $-A^α$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12679 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kernel estimates for a class of fractional Kolmogorov operators Porfido, Marianna Rhandi, Abdelaziz Tacelli, Cristian Dynamical Systems Probability 35K08, 47D07, 31C25, 39B62 Assuming a weighted Nash type inequality for the generator $-A$ of a Markov semigroup, we prove a weighted Nash type inequality for its fractional power and deduce non-uniform bounds on the transition kernel corresponding to the Markov semigroup generated by $-A^α$. |
| title | Kernel estimates for a class of fractional Kolmogorov operators |
| topic | Dynamical Systems Probability 35K08, 47D07, 31C25, 39B62 |
| url | https://arxiv.org/abs/2408.12679 |