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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Bibliographic Details
Date:2011
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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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine