Moduli of Families of Curves for Conformal and Quasiconformal Mappings

• Main Author: Vasil'ev, Alexander (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Mathematics, 1788
• Subjects: Functions of complex variables.; Functions of a Complex Variable.

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 c...

Table of Contents:

• 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 Teichmüller Spaces
• References
• List of simbols
• Index.