Moduli of Families of Curves for Conformal and Quasiconformal Mappings

Moduli of Families of Curves for Conformal and Quasiconformal Mappings
Author :
Publisher : Springer
Total Pages : 222
Release :
ISBN-10 : 9783540454373
ISBN-13 : 3540454373
Rating : 4/5 (373 Downloads)

Book Synopsis Moduli of Families of Curves for Conformal and Quasiconformal Mappings by : Alexander Vasil'ev

Download or read book Moduli of Families of Curves for Conformal and Quasiconformal Mappings written by Alexander Vasil'ev and published by Springer. This book was released on 2004-10-19 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Teichmüller 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 Teichmüller spaces.


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