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Quasiconformal Space Mappings - A collection of surveys 1960 - 1990 (Paperback, 1992 ed.)
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Quasiconformal Space Mappings - A collection of surveys 1960 - 1990 (Paperback, 1992 ed.)
Series: Lecture Notes in Mathematics, 1508
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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.
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