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Quasihomographies in the theory of Teichmüller spaces

Zając Józef — 1996

CONTENTSIntroduction............................................................................................................................5   I. Special functions of quasiconformal theory.....................................................................10      1. Introduction.................................................................................................................10      2. The distortion function Φ K .....................................................................................11      3....

The Douady-Earle extension of quasihomographies

Ken-Ichi SakanJózef Zając — 1996

Banach Center Publications

Quasihomography is a useful notion to represent a sense-preserving automorphism of the unit circle T which admits a quasiconformal extension to the unit disc. For K ≥ 1 let A T ( K ) denote the family of all K-quasihomographies of T. With any f A T ( K ) we associate the Douady-Earle extension E f and give an explicit and asymptotically sharp estimate of the L norm of the complex dilatation of E f .

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