---

＜電子ブック＞
Quasiconformal Space Mappings : A collection of surveys 1960 - 1990 / edited by Matti Vuorinen
(Lecture Notes in Mathematics. ISSN:16179692 ; 1508)

版	1st ed. 1992.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1992
本文言語	英語
大きさ	X, 150 p : online resource
冊子体	Quasiconformal space mappings : a collection of surveys, 1960-1990 / Matti Vuorinen (ed.) ; : gw,: us
著者標目	Vuorinen, Matti editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	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 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0094234

 類似資料