On the equicontinuity of families of mappings in the case of variable domains
UDC 517.5 We study the problem of local behavior of maps in the closure of a domain in the Euclidean space. The equicontinuity of families of these mappings is established in the case where the mapped domain is not fixed. We separately consider the domains with bad and good boundaries, as well as t...
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| Datum: | 2019 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2019
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1488 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.5
We study the problem of local behavior of maps in the closure of a domain in the Euclidean space. The equicontinuity of
families of these mappings is established in the case where the mapped domain is not fixed. We separately consider the
domains with bad and good boundaries, as well as the homeomorphisms and maps with branching. |
|---|