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The Douady-Earle extension of quasihomographies

100%

Sakan K.-I., Zając J.

Banach Center Publications

1996

tom 37

nr 1

35-44

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 $E_f$.

The harmonic and quasiconformal extension operators

81%

Partyka D., Sakan K.-I., Zając J.

Banach Center Publications

1999

tom 48

nr 1

141-177

Different aspects of the boundary value problem for quasiconformal mappings and Teichmüller spaces are expressed in a unified form by the use of the trace and extension operators. Moreover, some new results on harmonic and quasiconformal extensions are included.

Ograniczanie wyników

2 Banach Center Publications

2 Sakan K.-I.

2 Zając J.

1 Partyka D.

1 1999

1 1996

Wyniki wyszukiwania

The Douady-Earle extension of quasihomographies

The harmonic and quasiconformal extension operators