Publishing house / Banach Center Publications / All volumes

Banach Center Publications

Volume 37 / 1996

Banach Center Publications 37 (1996), 35-44 DOI: 10.4064/-37-1-35-44

Abstract

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 $E_f$.

Authors

• Ken-Ichi Sakan
• Józef Zając

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.