Quasiconformal Mappings

  • Yoichi Imayoshi
  • Masahiko Taniguchi


In this chapter, we shall explain basic properties of quasiconformal mappings which are needed in the later chapters. In Chapter 1, we have defined differentiable quasiconformal mappings. Here, we weaken the differentiability condition in the definition. Such a technical improvement allows us to use quasiconformal mappings as a tool in considerably more general situations, while formal treatment of such mappings remains the same as in the differentiable case.


Compact Support Conformal Mapping Existence Theorem Quasiconformal Mapping Normal Solution 
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Copyright information

© Springer-Verlag Tokyo 1994

Authors and Affiliations

  • Yoichi Imayoshi
    • 1
  • Masahiko Taniguchi
    • 2
  1. 1.Department of Mathematics, College of General EducationOsaka UniversityToyonaka, Osaka 560Japan
  2. 2.Department of Mathematics, Faculty of ScienceKyoto UniversitySakyo-ku, Kyoto 606Japan

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