On the Teichmüller-Kühnau extension of univalent functions (Q2709764)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Teichmüller-Kühnau extension of univalent functions |
scientific article |
Statements
11 November 2001
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univalent function
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quasiconformal map
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extremal Teichmüller map
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universal Teichmüller space
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Fredholm eigenvalues
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Carathéodory metric
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On the Teichmüller-Kühnau extension of univalent functions (English)
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In this paper, the author gives a complete description of a class of univalent functions satisfying certain conditions related to the Grunski criterion. He gives necessary and sufficient conditions for which these functions admit regular quasiconformal extensions to the closed unit disk.
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