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Moduli of Families of Curves for Conformal and Quasiconformal Mappings

✍ Scribed by Alexander Vasil’ev (auth.)

Book ID
127420042
Publisher
Springer
Year
2002
Tongue
English
Weight
1 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540454373
ISSN
0075-8434

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✦ Synopsis

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.

✦ Subjects

Functions of a Complex Variable

📜 SIMILAR VOLUMES

Moduli of Families of Curves for Conform
Moduli of Families of Curves for Conformal and Quasiconformal Mappings
✍ Vasilev A. 📂 Library 📅 2002 🌐 English ⚖ 1 MB

This 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 Teichmueller spaces.