Prime ends in the mapping theory on the Riemann surfaces

It is proved criteria for continuous and homeomorphic extension to the boundary of mappings with finite distortion between domains on the Riemann surfaces by prime ends of Caratheodory.

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Veröffentlicht in:Український математичний вісник
Datum:2017
Hauptverfasser: Ryazanov, V.I., Volkov, S.V.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2017
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/169315
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Prime ends in the mapping theory on the Riemann surfaces / V.I. Ryazanov, S.V. Volkov // Український математичний вісник. — 2017. — Т. 14, № 1. — С. 103-125. — Бібліогр.: 37 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Ryazanov, V.I.
Volkov, S.V.
author_facet Ryazanov, V.I.
Volkov, S.V.
citation_txt Prime ends in the mapping theory on the Riemann surfaces / V.I. Ryazanov, S.V. Volkov // Український математичний вісник. — 2017. — Т. 14, № 1. — С. 103-125. — Бібліогр.: 37 назв. — англ.
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container_title Український математичний вісник
description It is proved criteria for continuous and homeomorphic extension to the boundary of mappings with finite distortion between domains on the Riemann surfaces by prime ends of Caratheodory.
first_indexed 2025-12-07T19:08:25Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1810-3200
language English
last_indexed 2025-12-07T19:08:25Z
publishDate 2017
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Ryazanov, V.I.
Volkov, S.V.
2020-06-10T13:39:58Z
2020-06-10T13:39:58Z
2017
Prime ends in the mapping theory on the Riemann surfaces / V.I. Ryazanov, S.V. Volkov // Український математичний вісник. — 2017. — Т. 14, № 1. — С. 103-125. — Бібліогр.: 37 назв. — англ.
1810-3200
2010 MSC. Primary 31A05, 31A20, 31A25, 31B25, 35Q15; Secondary 30E25, 31C05, 34M50, 35F45.
https://nasplib.isofts.kiev.ua/handle/123456789/169315
It is proved criteria for continuous and homeomorphic extension to the boundary of mappings with finite distortion between domains on the Riemann surfaces by prime ends of Caratheodory.
en
Інститут прикладної математики і механіки НАН України
Український математичний вісник
Prime ends in the mapping theory on the Riemann surfaces
Article
published earlier
spellingShingle Prime ends in the mapping theory on the Riemann surfaces
Ryazanov, V.I.
Volkov, S.V.
title Prime ends in the mapping theory on the Riemann surfaces
title_full Prime ends in the mapping theory on the Riemann surfaces
title_fullStr Prime ends in the mapping theory on the Riemann surfaces
title_full_unstemmed Prime ends in the mapping theory on the Riemann surfaces
title_short Prime ends in the mapping theory on the Riemann surfaces
title_sort prime ends in the mapping theory on the riemann surfaces
url https://nasplib.isofts.kiev.ua/handle/123456789/169315
work_keys_str_mv AT ryazanovvi primeendsinthemappingtheoryontheriemannsurfaces
AT volkovsv primeendsinthemappingtheoryontheriemannsurfaces