Слабо плоские границы в метрических пространствах
It has been shown that the domains with the so-called weakly flat boundaries are locally pathwise connected at the boundary points. On this base, the far-reaching generalization and strengtheni- ng of the well-known Gehring–Martio theorem (1985) on a homeomorphic extension to the boundary of quasi...
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| Datum: | 2007 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russian |
| Veröffentlicht: |
Видавничий дім "Академперіодика" НАН України
2007
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| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/3235 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Слабо плоские границы в метрических пространствах / В.И. Рязанов, Р.Р. Салимов // Доп. НАН України. — 2007. — № 11. — С. 23-28. — Бібліогр.: 14 назв. — рос. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | It has been shown that the domains with the so-called weakly flat boundaries are locally pathwise
connected at the boundary points. On this base, the far-reaching generalization and strengtheni-
ng of the well-known Gehring–Martio theorem (1985) on a homeomorphic extension to the
boundary of quasiconformal mappings between quasiextremal distance domains in Rn, n > 2,
are obtained. The domains with weakly flat boundaries form a new widest type of domains, vast
classes of topological mappings between which admit a homeomorphic extension to the boundary.
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| ISSN: | 1025-6415 |