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AuthorPflaum, Markus J. author
TitleModuli of Families of Curves for Conformal and Quasiconformal Mappings [electronic resource] / by Alexander Vasil'ev
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2002
Connect tohttp://dx.doi.org/10.1007/b83857
Descript IX, 214 p. online resource

SUMMARY

The monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmรผller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmรผller spaces


CONTENT

Introduction -- Moduli of Families of Curves and Extremal Partitions -- Moduli in Extremal Problems for Conformal Mapping -- Moduli in Extremal Problems for Quasiconformal Mapping.-Moduli on Teichmรผller Spaces -- References -- List of simbols -- Index


Mathematics Functions of complex variables Mathematics Functions of a Complex Variable



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