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&am...
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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
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Видавничий дім "Академперіодика" НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/3235 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Слабо плоские границы в метрических пространствах / В.И. Рязанов, Р.Р. Салимов // Доп. НАН України. — 2007. — № 11. — С. 23-28. — Бібліогр.: 14 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862700294194855936 |
|---|---|
| author | Рязанов, В.И. Салимов, Р.Р. |
| author_facet | Рязанов, В.И. Салимов, Р.Р. |
| citation_txt | Слабо плоские границы в метрических пространствах / В.И. Рязанов, Р.Р. Салимов // Доп. НАН України. — 2007. — № 11. — С. 23-28. — Бібліогр.: 14 назв. — рос. |
| collection | DSpace DC |
| description | 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.
|
| first_indexed | 2025-12-07T16:38:14Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-3235 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1025-6415 |
| language | Russian |
| last_indexed | 2025-12-07T16:38:14Z |
| publishDate | 2007 |
| publisher | Видавничий дім "Академперіодика" НАН України |
| record_format | dspace |
| spelling | Рязанов, В.И. Салимов, Р.Р. 2009-07-06T10:48:43Z 2009-07-06T10:48:43Z 2007 Слабо плоские границы в метрических пространствах / В.И. Рязанов, Р.Р. Салимов // Доп. НАН України. — 2007. — № 11. — С. 23-28. — Бібліогр.: 14 назв. — рос. 1025-6415 https://nasplib.isofts.kiev.ua/handle/123456789/3235 517.5 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. ru Видавничий дім "Академперіодика" НАН України Математика Слабо плоские границы в метрических пространствах Article published earlier |
| spellingShingle | Слабо плоские границы в метрических пространствах Рязанов, В.И. Салимов, Р.Р. Математика |
| title | Слабо плоские границы в метрических пространствах |
| title_full | Слабо плоские границы в метрических пространствах |
| title_fullStr | Слабо плоские границы в метрических пространствах |
| title_full_unstemmed | Слабо плоские границы в метрических пространствах |
| title_short | Слабо плоские границы в метрических пространствах |
| title_sort | слабо плоские границы в метрических пространствах |
| topic | Математика |
| topic_facet | Математика |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/3235 |
| work_keys_str_mv | AT râzanovvi slaboploskiegranicyvmetričeskihprostranstvah AT salimovrr slaboploskiegranicyvmetričeskihprostranstvah |