Estimates for quasiconformal mappings onto canonical domains. II (Q1811440)
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scientific article; zbMATH DE number 1925967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates for quasiconformal mappings onto canonical domains. II |
scientific article; zbMATH DE number 1925967 |
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Estimates for quasiconformal mappings onto canonical domains. II (English)
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23 March 2004
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The author establishes various estimates for quasiconformal mappings of a finitely-connected domain in the extended complex plane onto the interior or exterior of the unit circle or the extended plane with \(n\) circular slits. The estimates involve various geometric quantities associated with the function such as the radii of the circular slits. The proofs are based on earlier results by the same author [Rev. Roum. Math. Pures Appl. 38, 55--66 (1993; Zbl 0781.30015); Z. Anal. Anwend. 18, 819--825 (1999; Zbl 0945.30018)] which in turn are based on Carleman's and Grötzsch's inequalities.
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quasiconformal mapping
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multiply-connected domain
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0.9793213
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0.91110027
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