Harmonic functions on balls for x-dependent rectilinear stable processes
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911484386213888 |
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| author | Kulczycki, Tadeusz Ryznar, Michał |
| author_facet | Kulczycki, Tadeusz Ryznar, Michał |
| contents | We obtain sharp estimates for functions harmonic with respect to $x$-dependent rectilinear stable processes in balls, under the assumption that the Dirichlet exterior data are radial about the center. The main idea of the proof is based on the construction of global barrier functions for the $x$-dependent rectilinear fractional Laplacian in balls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04164 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Harmonic functions on balls for x-dependent rectilinear stable processes Kulczycki, Tadeusz Ryznar, Michał Analysis of PDEs Probability We obtain sharp estimates for functions harmonic with respect to $x$-dependent rectilinear stable processes in balls, under the assumption that the Dirichlet exterior data are radial about the center. The main idea of the proof is based on the construction of global barrier functions for the $x$-dependent rectilinear fractional Laplacian in balls. |
| title | Harmonic functions on balls for x-dependent rectilinear stable processes |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2603.04164 |