A step towards the tensorization of Sobolev spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908604990226432 |
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| author | Ghinassi, Silvia Giri, Vikram Negrini, Elisa |
| author_facet | Ghinassi, Silvia Giri, Vikram Negrini, Elisa |
| contents | We prove that Sobolev spaces on Cartesian and warped products of metric spaces tensorize, only requiring that one of the factors is a doubling space supporting a Poincaré inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_05804 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A step towards the tensorization of Sobolev spaces Ghinassi, Silvia Giri, Vikram Negrini, Elisa Metric Geometry Classical Analysis and ODEs Functional Analysis 53C23, 46E35, 51F30 We prove that Sobolev spaces on Cartesian and warped products of metric spaces tensorize, only requiring that one of the factors is a doubling space supporting a Poincaré inequality. |
| title | A step towards the tensorization of Sobolev spaces |
| topic | Metric Geometry Classical Analysis and ODEs Functional Analysis 53C23, 46E35, 51F30 |
| url | https://arxiv.org/abs/2305.05804 |