Moduli in Modern Mapping Theory

• Main Authors: Martio, Olli (Author), Ryazanov, Vladimir (Author), Srebro, Uri (Author), Yakubov, Eduard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Analysis.; Functional Analysis.

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...

Table of Contents:

• and Notation
• Moduli and Capacity
• Moduli and Domains
• Q-Homeomorphisms with Q? Lloc1
• Q-homeomorphisms with Q in BMO
• More General Q-Homeomorphisms
• Ring Q-Homeomorphisms
• Mappings with Finite Length Distortion (FLD)
• Lower Q-Homeomorphisms
• Mappings with Finite Area Distortion
• On Ring Solutions of the Beltrami Equation
• Homeomorphisms with Finite Mean Dilatations
• On Mapping Theory in Metric Spaces.