Quasiconformal Space Mappings : A collection of surveys 1960-1990 / edited by Matti Vuorinen.

Format:

Book

Contributor:

Vuorinen, Matti, editor.

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1508.

Lecture Notes in Mathematics, 0075-8434 ; 1508

Language:

English

Subjects (All):

Global analysis (Mathematics).

Analysis.

Local Subjects:

Analysis.

Physical Description:

1 online resource (X, 150 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992.

System Details:

text file PDF

Summary:

This volume is a collection of surveys on function theory in euclidean n-dimensional spaces centered 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, L(p)-theory of quasiconformal maps, nonlinear potential theory, variational calculus, value distribution theory of quasiregular maps, topological properties of discrete open mappings, 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. CONTENTS: G.D. Anderson, M.K. Vamanamurthy, M. Vuorinen: Conformal invariants, quasiconformal maps and special functions.- F.W. Gehring: Topics in quasiconformal mappings.- T.Iwaniec: L(p)-theory of quasiregular mappings.- O. Martio: Partial differential equations and quasiregular mappings.- Yu.G. Reshetnyak: On functional classes invariant relative to homothetics.- S. Rickman: Picard's theorem and defect relation for quasiconformal mappings.- U. Srebro: Topological properties of quasiregular mappings.- J. V{is{l{: Domains and maps.- V.A. Zorich: The global homeomorphism theorem for space quasiconformal mappings, its development and related open problems.

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.

Other Format:

Printed edition:

ISBN:

9783540470618

Access Restriction:

Restricted for use by site license.