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Hyperbolic metrics on universal Teichmüller space and extremal problems

Hyperbolic metrics on universal Teichmüller space and extremal problems

The paper consists of two parts, both related to complex geometry of the universal Teichm¨uller space. We reprove that all contractible invariant metrics on this space coincide and apply this important fact to solving the general extremal problems for univalent functions with quasiconformal extensio...

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Main Author: Krushkal, S.L.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2011
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124435
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spelling irk-123456789-1244352017-09-27T03:02:51Z Hyperbolic metrics on universal Teichmüller space and extremal problems Krushkal, S.L. The paper consists of two parts, both related to complex geometry of the universal Teichm¨uller space. We reprove that all contractible invariant metrics on this space coincide and apply this important fact to solving the general extremal problems for univalent functions with quasiconformal extensions. 2011 Article Hyperbolic metrics on universal Teichmüller space and extremal problems/ S.L. Krushkal // Український математичний вісник. — 2011. — Т. 8, № 4. — С. 557-579. — Бібліогр.: 29 назв. — англ. 1810-3200 2010 MSC. 30C75, 30F60, 32G15, 32Q45, 30F45. http://dspace.nbuv.gov.ua/handle/123456789/124435 en Український математичний вісник Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description The paper consists of two parts, both related to complex geometry of the universal Teichm¨uller space. We reprove that all contractible invariant metrics on this space coincide and apply this important fact to solving the general extremal problems for univalent functions with quasiconformal extensions.
format Article
author Krushkal, S.L.
spellingShingle Krushkal, S.L.
Hyperbolic metrics on universal Teichmüller space and extremal problems
Український математичний вісник
author_facet Krushkal, S.L.
author_sort Krushkal, S.L.
title Hyperbolic metrics on universal Teichmüller space and extremal problems
title_short Hyperbolic metrics on universal Teichmüller space and extremal problems
title_full Hyperbolic metrics on universal Teichmüller space and extremal problems
title_fullStr Hyperbolic metrics on universal Teichmüller space and extremal problems
title_full_unstemmed Hyperbolic metrics on universal Teichmüller space and extremal problems
title_sort hyperbolic metrics on universal teichmüller space and extremal problems
publisher Інститут прикладної математики і механіки НАН України
publishDate 2011
url http://dspace.nbuv.gov.ua/handle/123456789/124435
citation_txt Hyperbolic metrics on universal Teichmüller space and extremal problems/ S.L. Krushkal // Український математичний вісник. — 2011. — Т. 8, № 4. — С. 557-579. — Бібліогр.: 29 назв. — англ.
series Український математичний вісник
work_keys_str_mv AT krushkalsl hyperbolicmetricsonuniversalteichmullerspaceandextremalproblems
first_indexed 2023-10-18T20:46:24Z
last_indexed 2023-10-18T20:46:24Z
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