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4. Moduli in Extremal Problems for Quasiconformal Mapping

  • Alexander Vasil’evEmail author
Chapter
  • 281 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1788)

Abstract

  • 4.1 General information and simple extremal problems
    • 4.1.1 Quasiconformal mappings of Riemann surfaces

    • 4.1.2 Growth and Hölder continuity

    • 4.1.3 Quasiconformal motion of a quadruple of points

  • 4.2 Two-point distortion for quasiconformal maps of the plane
    • 4.2.1 Special differentials and extremal partitions

    • 4.2.2 Quasisymmetric functions and the extremal maps

    • 4.2.3 Boundary parameterization

    • 4.2.4 The class Q K . Estimations of functionals

    • 4.2.5 Conclusions and unsolved problems

  • 4.3 Two-point distortion for quasiconformal maps of the unit disk
    • 4.3.1 Special differentials and extremal partitions

    • 4.3.2 Extremal problems

Mathematics Subject Classification (2000):

30C35 30C55 30C62 30C75 30F10 30F60 

Copyright information

© Springer-Verlag Berlin/Heidelberg 2002

Authors and Affiliations

  1. 1.Departamento de MatemáticaUniversidad Técnica Federico Santa María Casilla110-V ValparaísoChile

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