Bounded circular distortion curves and quasidisks (Q1775392)

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scientific article; zbMATH DE number 2166196
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English
Bounded circular distortion curves and quasidisks
scientific article; zbMATH DE number 2166196

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    Bounded circular distortion curves and quasidisks (English)
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    6 May 2005
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    Several characterizations of quasidisks have been obtained earlier [cf. \textit{Y. M. Chu} and \textit{J. F. Cheng}, Acta Math. Sin. 39, 556--560 (1996; Zbl 0867.30018)]. Considering a Jordan domain \(D\) with the boundary \(\Gamma\), the authors obtain the following new characterization of quasidisks. \(D\) is a quasidisk if and only if \(\Gamma\) is a bounded circular distortion curve.
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    bounded circular distortion curve
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    quasidisk
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    quasiconformal mapping
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