Hölder regularity of the solutions of Fredholm integral equations on upper Ahlfors regular sets
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912916859518976 |
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| author | Lanza_de_Cristoforis, M. Norman, M. |
| author_facet | Lanza_de_Cristoforis, M. Norman, M. |
| contents | We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08264 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hölder regularity of the solutions of Fredholm integral equations on upper Ahlfors regular sets Lanza_de_Cristoforis, M. Norman, M. Analysis of PDEs Functional Analysis 45B05, 31B10 We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures. |
| title | Hölder regularity of the solutions of Fredholm integral equations on upper Ahlfors regular sets |
| topic | Analysis of PDEs Functional Analysis 45B05, 31B10 |
| url | https://arxiv.org/abs/2510.08264 |