Boundary behavior of ring Q-homeomorphisms on Riemannian manifolds
We study the problems of a continuous and homeomorphic extension of so-called ring $Q$-homeomorphisms between domains on Riemannian manifolds to the boundary. We establish conditions for a function $Q(x)$ and the boundaries of domains under which every ring $Q$-homeomorphism admits a continuous or h...
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| Datum: | 2011 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2011
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/2807 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We study the problems of a continuous and homeomorphic extension of so-called ring $Q$-homeomorphisms
between domains on Riemannian manifolds to the boundary. We establish conditions for a function $Q(x)$ and
the boundaries of domains under which every ring $Q$-homeomorphism admits a continuous or homeomorphic
extension to the boundary. This theory can be applied, in particular, to Sobolev classes. |
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