On the Geometric Definition for Quasiconformal Mappings.
Jussi Väisälä, F.W. Gehring (1961/62)
Commentarii mathematici Helvetici
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Displaying similar documents to “Hölder continuity of conformal mappings and non-quasiconformal Jordan curves.”
On the Geometric Definition for Quasiconformal Mappings.
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Edgar Reich (1962/63)
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H.M. Reimann (1974)
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Reiner Kühnau (2011)
Annales UMCS, Mathematica
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We study a dual analogue of the class Σ(κ) of hydrodynamically normalized schlicht conformal mappings g(z) of the exterior of the unit circle with a [...] -quasiconformal extension, namely now those (non-schlicht) mappings g(z) for which g(z) has such a quasiconformal extension.
Boundary regularity and the uniform convergence of quasiconformal mappings.
Raimo Näkki, Bruce Palka (1979)
Commentarii mathematici Helvetici
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On a theorem of Lindelöf
Vladimir Gutlyanskii, Olli Martio, Vladimir Ryazanov (2011)
Annales UMCS, Mathematica
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We give a quasiconformal version of the proof for the classical Lindelöf theorem: Let f map the unit disk D conformally onto the inner domain of a Jordan curve C. Then C is smooth if and only if arh f'(z) has a continuous extension to D. Our proof does not use the Poisson integral representation of harmonic functions in the unit disk.