Overview

This volume is a collection of surveys on function theory in euclidean n-dimensional spaces centred around the theme of quasiconformal space mappings. These surveys cover or are related to several topics including inequalities for conformal invariants and extremal length, distortion theorems, Lp-theory of quasiconformal maps, non-linear potential theory, variational calculus, value distribution theory of quasiregular maps, topological properties of discrete open mapping, the action of quasiconformal maps in special classes of domains, and global injectivity theorems. The present volume is the first collection of surveys on quasiconformal space mappings since the origin of the theory in 1960 and this collection provides in compact form access to a wide spectrum of recent results due to well-known specialists.

Full Product Details

Author:   Matti Vuorinen
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1992 ed.
Volume:   1508
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   0.520kg
ISBN:  

9783540554189

ISBN 10:   3540554181
Pages:   150
Publication Date:   06 May 1992
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Conformal invariants, quasiconformal maps, and special functions.- Topics in quasiconformal mappings.- L p -theory of quasiregular mappings.- Partial differential equations and quasiregular mappings.- On functional classes invariant relative to homotheties.- Picard's theorem and defect relation for quasiregular mappings.- Topological properties of quasiregular mappings.- Domains and maps.- The global homeomorphism theorem for space quasiconformal mappings, its development and related open problems.

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