Vector calculus on weighted reflexive Banach spaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909317018419200 |
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| author | Pasqualetto, Enrico Rajala, Tapio |
| author_facet | Pasqualetto, Enrico Rajala, Tapio |
| contents | We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces and to the related tangent bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_03684 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Vector calculus on weighted reflexive Banach spaces Pasqualetto, Enrico Rajala, Tapio Functional Analysis Classical Analysis and ODEs Metric Geometry 53C23, 46E35, 18F15, 49J52 We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces and to the related tangent bundles. |
| title | Vector calculus on weighted reflexive Banach spaces |
| topic | Functional Analysis Classical Analysis and ODEs Metric Geometry 53C23, 46E35, 18F15, 49J52 |
| url | https://arxiv.org/abs/2306.03684 |