书目名称 | Moduli of Families of Curves for Conformal and Quasiconformal Mappings |
编辑 | Alexander Vasil’ev |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2002 |
关键词 | Modulus; Riemann surface; Riemann surfaces; Teichmüller space; conformal and quasiconformal mappings |
版次 | 1 |
doi | https://doi.org/10.1007/b83857 |
isbn_softcover | 978-3-540-43846-5 |
isbn_ebook | 978-3-540-45437-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2002 |