Boundary behavior of ring Q-homeomorphisms in metric spaces
We investigate the problem of extension of so-called ring Q-homeomorphisms between domains in metric spaces with measures to the boundary. We establish conditions for the function Q(x) and the boundary of the domain under which any ring Q-homeomorphism admits a continuous or a homeomorphic extension...
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| Date: | 2010 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2010
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2898 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860508890887618560 |
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| author | Smolovaya, E. S. Смоловая, E. С. Смоловая, E. С. |
| author_facet | Smolovaya, E. S. Смоловая, E. С. Смоловая, E. С. |
| author_sort | Smolovaya, E. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T19:39:51Z |
| description | We investigate the problem of extension of so-called ring Q-homeomorphisms between domains in metric spaces with measures to the boundary. We establish conditions for the function Q(x) and the boundary of the domain under which any ring Q-homeomorphism admits a continuous or a homeomorphic extension to the boundary. The results are applicable, in particular, to Riemannian manifolds, Löwner spaces, and Carnot and Heisenberg groups. |
| first_indexed | 2026-03-24T02:32:24Z |
| format | Article |
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| id | umjimathkievua-article-2898 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:32:24Z |
| publishDate | 2010 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/48/dd780f2c53a158ce075eeb8d8510aa48.pdf |
| spelling | umjimathkievua-article-28982020-03-18T19:39:51Z Boundary behavior of ring Q-homeomorphisms in metric spaces Граничное поведение кольцевых Q-гомеоморфизмов в метрических пространствах Smolovaya, E. S. Смоловая, E. С. Смоловая, E. С. We investigate the problem of extension of so-called ring Q-homeomorphisms between domains in metric spaces with measures to the boundary. We establish conditions for the function Q(x) and the boundary of the domain under which any ring Q-homeomorphism admits a continuous or a homeomorphic extension to the boundary. The results are applicable, in particular, to Riemannian manifolds, Löwner spaces, and Carnot and Heisenberg groups. Досліджується проблема продовження на межу так званих кільцевих Q-гомеоморфізмів між областями у метричних просторах із мірами. Знайдено умови на функцію Q(x) та межі області, за яких будь-який кільцевий (2-гомеоморфізм допускає неперервне або гомеоморфію продовження на межу. Результати застосовні, зокрема, до ріманових многовидів, просторів Левнера, груп Карно та Гейзепберга. Institute of Mathematics, NAS of Ukraine 2010-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/2898 Ukrains’kyi Matematychnyi Zhurnal; Vol. 62 No. 5 (2010); 682–689 Український математичний журнал; Том 62 № 5 (2010); 682–689 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/2898/2547 https://umj.imath.kiev.ua/index.php/umj/article/view/2898/2548 Copyright (c) 2010 Smolovaya E. S. |
| spellingShingle | Smolovaya, E. S. Смоловая, E. С. Смоловая, E. С. Boundary behavior of ring Q-homeomorphisms in metric spaces |
| title | Boundary behavior of ring Q-homeomorphisms in metric spaces |
| title_alt | Граничное поведение кольцевых Q-гомеоморфизмов в метрических
пространствах |
| title_full | Boundary behavior of ring Q-homeomorphisms in metric spaces |
| title_fullStr | Boundary behavior of ring Q-homeomorphisms in metric spaces |
| title_full_unstemmed | Boundary behavior of ring Q-homeomorphisms in metric spaces |
| title_short | Boundary behavior of ring Q-homeomorphisms in metric spaces |
| title_sort | boundary behavior of ring q-homeomorphisms in metric spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/2898 |
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