Regularity properties of certain convolution operators in Hölder spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917316709580800 |
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| author | Riva, Matteo Dalla de Cristoforis, Massimo Lanza Musolino, Paolo |
| author_facet | Riva, Matteo Dalla de Cristoforis, Massimo Lanza Musolino, Paolo |
| contents | The aim of this paper is to prove a theorem of C.~Miranda on the Hölder regularity of convolution operators acting on the boundary of an open set in the limiting case in which the open set is of class $C^{1,1}$ and the densities are of class $C^{0,1}$. The convolution operators that we consider are generalizations of those that are associated to layer potential operators, which are a useful tool for the analysis of boundary value problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18342 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regularity properties of certain convolution operators in Hölder spaces Riva, Matteo Dalla de Cristoforis, Massimo Lanza Musolino, Paolo Analysis of PDEs 31B10, 35J25 The aim of this paper is to prove a theorem of C.~Miranda on the Hölder regularity of convolution operators acting on the boundary of an open set in the limiting case in which the open set is of class $C^{1,1}$ and the densities are of class $C^{0,1}$. The convolution operators that we consider are generalizations of those that are associated to layer potential operators, which are a useful tool for the analysis of boundary value problems. |
| title | Regularity properties of certain convolution operators in Hölder spaces |
| topic | Analysis of PDEs 31B10, 35J25 |
| url | https://arxiv.org/abs/2501.18342 |