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Quasiconformal Space Mappings : A Collection of Surveys 1960 - 1990 - Matti Vuorinen

Quasiconformal Space Mappings

A Collection of Surveys 1960 - 1990

By: Matti Vuorinen (Editor)

Paperback Published: 6th May 1992
ISBN: 9783540554189
Number Of Pages: 150

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This volume is a collection of surveys on function theory ineuclidean n-dimensional spaces centered around the theme ofquasiconformal space mappings. These surveys cover or arerelated to several topics including inequalities forconformal invariants and extremal length, distortiontheorems, L(p)-theory of quasiconformal maps, nonlinearpotential theory, variational calculus, value distributiontheory of quasiregular maps, topological properties ofdiscrete open mappings, the action of quasiconformal maps inspecial classes of domains, and global injectivity theorems.The present volume is the first collection of surveys onQuasiconformal Space Mappings since the origin of the theoryin 1960 and this collection provides in compact form accessto a wide spectrum of recent results due to well-knownspecialists.CONTENTS: G.D. Anderson, M.K. Vamanamurthy, M. Vuorinen:Conformal invariants, quasiconformal maps and specialfunctions.- F.W. Gehring: Topics in quasiconformalmappings.- T.Iwaniec: L(p)-theory of quasiregularmappings.- O. Martio: Partial differential equations andquasiregular mappings.- Yu.G. Reshetnyak: On functionalclasses invariant relative to homothetics.- S. Rickman:Picard's theorem and defect relation for quasiconformalmappings.- U. Srebro: Topological properties of quasiregularmappings.- J. V{is{l{: Domains and maps.- V.A. Zorich: Theglobal homeomorphism theorem for space quasiconformalmappings, its development and related open problems.

Conformal invariants, quasiconformal maps and special functions, G.D Anderson et al; topics in quasiconformal mappings, F.W. Gehring; Lp-theory of quasiregular mappings, T. Iwaniec; partial differential equations and quasiregular mappings, O. Martio; on functional classes invariant relative to homothetics, Yu G. Reshetnyak; Pacard's theorem and defect relation for quasiconformal mappings, S. Rickman; toplogical properties of quasiregular mappings, U. Srebro; domains and maps, J. Vaisala; the global homeomorphism theorem for space quasiconformal mappings, its development and related open problems, V.A. Zorich.

ISBN: 9783540554189
ISBN-10: 3540554181
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 150
Published: 6th May 1992
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.86
Weight (kg): 0.23