Finely quasiconformal mappings
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917877612806144 |
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| author | Lahti, Panu |
| author_facet | Lahti, Panu |
| contents | We introduce a relaxed version of the metric definition of quasiconformality that is natural also for mappings of low regularity, including $W_{\mathrm{loc}}^{1,1}(\mathbb{R}^n;\mathbb{R}^n)$-mappings. Then we show on the plane that this relaxed definition can be used to prove Sobolev regularity, and that these ``finely quasiconformal'' mappings are in fact quasiconformal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_12802 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Finely quasiconformal mappings Lahti, Panu Metric Geometry 30C65, 46E35, 31C40 We introduce a relaxed version of the metric definition of quasiconformality that is natural also for mappings of low regularity, including $W_{\mathrm{loc}}^{1,1}(\mathbb{R}^n;\mathbb{R}^n)$-mappings. Then we show on the plane that this relaxed definition can be used to prove Sobolev regularity, and that these ``finely quasiconformal'' mappings are in fact quasiconformal. |
| title | Finely quasiconformal mappings |
| topic | Metric Geometry 30C65, 46E35, 31C40 |
| url | https://arxiv.org/abs/2211.12802 |