Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908700610920448 |
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| author | Cuenin, Jean-Claude |
| author_facet | Cuenin, Jean-Claude |
| contents | We prove resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds at the critical exponent. Our proof only uses known bounds for the Hadamard parametrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09957 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds Cuenin, Jean-Claude Analysis of PDEs Spectral Theory We prove resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds at the critical exponent. Our proof only uses known bounds for the Hadamard parametrix. |
| title | Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds |
| topic | Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2405.09957 |