Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866929692537257984 |
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| author | Fromherz, Jakob Müller, Paul F. X. Riegler, Katharina |
| author_facet | Fromherz, Jakob Müller, Paul F. X. Riegler, Katharina |
| contents | We provide radial variational estimates for positive harmonic functions on Lipschitz domains in higher dimensions. The intention of this paper is to document an updated and refined version of arXiv:2003.07176 which modifies the proof of Mozolyako and Havin for Lipschitz domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18273 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains Fromherz, Jakob Müller, Paul F. X. Riegler, Katharina Analysis of PDEs 31B25, 31B10, 31B05, 31A20 We provide radial variational estimates for positive harmonic functions on Lipschitz domains in higher dimensions. The intention of this paper is to document an updated and refined version of arXiv:2003.07176 which modifies the proof of Mozolyako and Havin for Lipschitz domains. |
| title | Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains |
| topic | Analysis of PDEs 31B25, 31B10, 31B05, 31A20 |
| url | https://arxiv.org/abs/2501.18273 |