Hardy perturbations of subordinated Bessel heat kernels
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916381785587712 |
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| author | Bogdan, Krzysztof Jakubowski, Tomasz Merz, Konstantin |
| author_facet | Bogdan, Krzysztof Jakubowski, Tomasz Merz, Konstantin |
| contents | Motivated by the spectral theory of relativistic atoms, we prove matching upper and lower bounds for the transition density of Hardy perturbations of subordinated Bessel heat kernels. The analysis is based on suitable supermedian functions, in particular invariant functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02853 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hardy perturbations of subordinated Bessel heat kernels Bogdan, Krzysztof Jakubowski, Tomasz Merz, Konstantin Analysis of PDEs Mathematical Physics Functional Analysis Probability Motivated by the spectral theory of relativistic atoms, we prove matching upper and lower bounds for the transition density of Hardy perturbations of subordinated Bessel heat kernels. The analysis is based on suitable supermedian functions, in particular invariant functions. |
| title | Hardy perturbations of subordinated Bessel heat kernels |
| topic | Analysis of PDEs Mathematical Physics Functional Analysis Probability |
| url | https://arxiv.org/abs/2409.02853 |