A distortion theorem for quasiconformal automorphisms of the unit disk

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Institute of Mathematics, M. Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, 20-031 Lublin, Poland

We give a distortion theorem for quasiconformal automorphisms of the unit disk and its application to improving some results due to Douady and Earle.

quasiconformal mappings, distortion theorems, Möbius transformations, quasiconformal extensions

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