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- Contains new results from leading researchers in the field
- Authors have included an extensive bibliography
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
About this book
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.
Reviews
From the reviews:
“This book is a very welcome addition to the literature on MMT. The topic is fresh and there are a lot of possibilities for new research, as for instance this book itself demonstrates. … best suited to graduate students of mathematical analysis and related topics. … very valuable for all researchers of geometric function theory. Every mathematics graduate library should have a copy of this book.” (Matti Vuorinen, Zentralblatt MATH, Vol. 1175, 2010)Authors and Affiliations
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University of Helsinki, Helsinki, Finland
Olli Martio
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Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine, Donetsk, Ukraine
Vladimir Ryazanov
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Technion - Israel Institute of Technology, Haifa, Israel
Uri Srebro
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H.I.T. - Holon Institute of Technology, Holon, Israel
Eduard Yakubov
Bibliographic Information
Book Title: Moduli in Modern Mapping Theory
Authors: Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-0-387-85588-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-85586-8Published: 02 December 2008
Softcover ISBN: 978-1-4419-2755-2Published: 23 November 2010
eBook ISBN: 978-0-387-85588-2Published: 09 November 2008
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XII, 367
Number of Illustrations: 12 b/w illustrations
Topics: Analysis, Functional Analysis