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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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2011 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124435 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Krushkal, S.L. 2017-09-26T12:33:29Z 2017-09-26T12:33:29Z 2011 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. https://nasplib.isofts.kiev.ua/handle/123456789/124435 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. To Vladimir Gutlyanskii on the occasion of his 70th anniversary en Інститут прикладної математики і механіки НАН України Український математичний вісник Hyperbolic metrics on universal Teichmüller space and extremal problems Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Hyperbolic metrics on universal Teichmüller space and extremal problems |
| spellingShingle |
Hyperbolic metrics on universal Teichmüller space and extremal problems Krushkal, S.L. |
| 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 |
| author |
Krushkal, S.L. |
| author_facet |
Krushkal, S.L. |
| publishDate |
2011 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT krushkalsl hyperbolicmetricsonuniversalteichmullerspaceandextremalproblems |
| first_indexed |
2025-12-07T18:29:34Z |
| last_indexed |
2025-12-07T18:29:34Z |
| _version_ |
1850875234745319424 |