On Poletsky type inequality for mappings of Riemannian surfaces
We obtain upper estimates for the distortion of the modulus of families of paths under the Sobolev class mappings, whose dilatation is locally integrable.  As a consequence, we prove theorems on local and boundary behavior for these mappings.
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| Datum: | 2020 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2020
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/2292 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We obtain upper estimates for the distortion of the modulus of families of paths under the Sobolev class mappings, whose dilatation is locally integrable.  As a consequence, we prove theorems on local and boundary behavior for these mappings. |
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| DOI: | 10.37863/umzh.v72i5.2292 |