The Stepanov theorem for Q-valued functions
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913905459068928 |
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| author | De Donato, Paolo |
| author_facet | De Donato, Paolo |
| contents | In this work we prove the Stepanov differentiation theorem for multiple-valued functions. This theorem is proved in the wide generality of metric-space-multiple-valued functions without relying on a Lipschitz extension result. General definitions of differentiability and approximate differentiability for functions between suitable metric spaces are also introduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14554 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Stepanov theorem for Q-valued functions De Donato, Paolo Metric Geometry 54E40 (Primary) 54E45, 46E36, 26B05, 26B35 (Secondary) In this work we prove the Stepanov differentiation theorem for multiple-valued functions. This theorem is proved in the wide generality of metric-space-multiple-valued functions without relying on a Lipschitz extension result. General definitions of differentiability and approximate differentiability for functions between suitable metric spaces are also introduced. |
| title | The Stepanov theorem for Q-valued functions |
| topic | Metric Geometry 54E40 (Primary) 54E45, 46E36, 26B05, 26B35 (Secondary) |
| url | https://arxiv.org/abs/2402.14554 |