Plane mappings with dilatation dominated by functions of bounded mean oscillation (Q1597970)
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scientific article; zbMATH DE number 1746600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Plane mappings with dilatation dominated by functions of bounded mean oscillation |
scientific article; zbMATH DE number 1746600 |
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Plane mappings with dilatation dominated by functions of bounded mean oscillation (English)
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28 May 2002
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The authors study plane \(Q(z)\)-quasiconformal and \(Q(z)\)-quasiregular mappings for \(Q\in L^1_{\text{loc}}\) and, in particular, for \(Q\) in BMO. They study the following basic properties of these mappings: distortion, existence, uniqueness, representation, integrability, convergence, and removability theorems as well as the reflection principle and boundary behavior.
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bounded mean oscillation
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quasiconformal mapping
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quasiregular mapping
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Beltrami equation
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