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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2602.10448 |
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| _version_ | 1866908827525316608 |
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| author | Cao, Shiping Chen, Zhen-Qing |
| author_facet | Cao, Shiping Chen, Zhen-Qing |
| contents | We study reflected jump diffusions on Ahlfors regular domains in general metric measure spaces. Under the condition that the Dirichlet form on the ambient space satisfies a capacity upper bound estimate, we construct an extension operator from the reflected Dirichlet space to the ambient Dirichlet space, with a scale-invariant local bound. Second, we establish the mixed stable-like heat kernel estimates for the reflected jump diffusion, assuming that the process on the ambient space satisfies the same type of heat kernel estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10448 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Heat kernel for reflected jump diffusion on Ahlfors regular domains Cao, Shiping Chen, Zhen-Qing Probability Functional Analysis We study reflected jump diffusions on Ahlfors regular domains in general metric measure spaces. Under the condition that the Dirichlet form on the ambient space satisfies a capacity upper bound estimate, we construct an extension operator from the reflected Dirichlet space to the ambient Dirichlet space, with a scale-invariant local bound. Second, we establish the mixed stable-like heat kernel estimates for the reflected jump diffusion, assuming that the process on the ambient space satisfies the same type of heat kernel estimates. |
| title | Heat kernel for reflected jump diffusion on Ahlfors regular domains |
| topic | Probability Functional Analysis |
| url | https://arxiv.org/abs/2602.10448 |