Trace theory for gauge-covariant Sobolev spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916891914665984 |
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| author | Van Schaftingen, Jean Winter, Leon |
| author_facet | Van Schaftingen, Jean Winter, Leon |
| contents | The traces of gauge-covariant Sobolev spaces on a Riemannian vector bundle for some connection are characterised as some gauge-covariant fractional Sobolev spaces when the curvature of the connection is bounded. The constants in the trace and extension theorems only depend on this curvature. When the connection is abelian, one recovers known results for magnetic Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17254 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trace theory for gauge-covariant Sobolev spaces Van Schaftingen, Jean Winter, Leon Functional Analysis 46E35 (Primary) 26A33, 35Q40, 58E15, 81T13 (Secondary) The traces of gauge-covariant Sobolev spaces on a Riemannian vector bundle for some connection are characterised as some gauge-covariant fractional Sobolev spaces when the curvature of the connection is bounded. The constants in the trace and extension theorems only depend on this curvature. When the connection is abelian, one recovers known results for magnetic Sobolev spaces. |
| title | Trace theory for gauge-covariant Sobolev spaces |
| topic | Functional Analysis 46E35 (Primary) 26A33, 35Q40, 58E15, 81T13 (Secondary) |
| url | https://arxiv.org/abs/2501.17254 |