The Douady-Earle extension of quasihomographies
Sakan, Ken-Ichi ; Zając, Józef
Banach Center Publications, Tome 37 (1996), p. 35-44 / Harvested from The Polish Digital Mathematics Library
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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 AT(K) denote the family of all K-quasihomographies of T. With any f∈AT(K) we associate the Douady-Earle extension Ef and give an explicit and asymptotically sharp estimate of the L∞ norm of the complex dilatation of Ef.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:208614 
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Sakan, Ken-Ichi; Zając, Józef. The Douady-Earle extension of quasihomographies. Banach Center Publications, Tome 37 (1996) pp. 35-44. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p35bwm/

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