The harmonic and quasiconformal extension operators

• Autorzy: Dariusz Partyka , Ken-Ichi Sakan , Józef Zając
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Douady-Earle extension; homeomorphic extension; harmonic extension; universal Teichmüller space; quasiconformal mappings; quasihomographies; Beurling-Ahlfors extension; quasiconformal extension; diffeomorphic extension; quasisymmetric automorphisms; Poisson integral; harmonic mappings; quasisymmetric functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 48
• Numer: 1
• Strony: 141-177

Daty

wydano

1999

Twórcy

autor

Dariusz Partyka

• Institute of Mathematics, The Catholic University of Lublin, Al. Racławickie 14, 20-950 Lublin, Poland

autor

Ken-Ichi Sakan

• Department of Mathematics, Graduate School of Science, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka, 558, Japan

autor

Józef Zając

• Chair of Applied Mathematics, The Catholic University of Lublin, Al. Racławickie 14, 20-950 Lublin, Poland

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