Hyperbolically bi-Lipschitz continuity for \(1/|w|^2\)-harmonic quasiconformal mappings (Q456521)
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scientific article; zbMATH DE number 6093832
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolically bi-Lipschitz continuity for \(1/|w|^2\)-harmonic quasiconformal mappings |
scientific article; zbMATH DE number 6093832 |
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Hyperbolically bi-Lipschitz continuity for \(1/|w|^2\)-harmonic quasiconformal mappings (English)
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16 October 2012
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Summary: We study the class of \(1/|w|^2\)-harmonic \(K\)-quasiconformal mappings with angular ranges. After building a differential equation for the hyperbolic metric of an angular range, we obtain sharp bounds of their hyperbolically partial derivatives determined by the quasiconformal constant \(K\). As an application we obtain the hyperbolically bi-Lipschitz continuity and the sharp hyperbolically bi-Lipschitz coefficients.
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quasiconformal mappings
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\(1/|w|^2\)-harmonic mappings
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hyperbolically bi-Lipschitz continuity
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