ENGLISH

Moduli in Modern Mapping Theory

By Olli Martio , Vladimir Ryazanov , Uri Srebro , Eduard Yakubov (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2009
ISBN
0387855866, 9780387855868
DOI
10.1007/978-0-387-85588-2
LCC
QA360 .M63 2009
Open Library ID
OL24022236M
Language
english
Format
PDF
Filesize
10 MB (10202887 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
367\368
Time added
2011-06-04 13:46:07
Analysis; Functional Analysis

Description

The purpose of this book is to present a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. The modulus method was initiated by Arne Beurling and Lars Ahlfors to study conformal mappings, and later this method was extended and enhanced by several others. The techniques are geometric and they have turned out to be an indispensable tool in the study of quasiconformal and quasiregular mappings as well as their generalizations. The book is based on recent research papers and extends the modulus method beyond the classical applications of the modulus techniques presented in many monographs.

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