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ArticleOriginal scientific text

Title

The harmonic and quasiconformal extension operators

Authors 1, 2, 3

Affiliations

  1. Institute of Mathematics, The Catholic University of Lublin, Al. Racławickie 14, 20-950 Lublin, Poland
  2. Department of Mathematics, Graduate School of Science, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka, 558, Japan
  3. Chair of Applied Mathematics, The Catholic University of Lublin, Al. Racławickie 14, 20-950 Lublin, Poland

Abstract

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.

Keywords

ENG
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

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Banach Center Publications
1999/48/1
Export to PBN, Opens in new tab
Pages:
141-177
Main language of publication
English
Published
1999
Exact and natural sciences