Lecture Notes in Mathematics

Moduli of Families of Curves for Conformal and Quasiconformal Mappings

Authors: Vasil'ev, Alexander

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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.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-540-45437-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Moduli of Families of Curves for Conformal and Quasiconformal Mappings
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1788
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-45437-3
DOI
10.1007/b83857
Softcover ISBN
978-3-540-43846-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
IX, 214
Topics