000 03535nam a22004575i 4500
001 978-3-540-47061-8
003 DE-He213
005 20160624101825.0
007 cr nn 008mamaa
008 121227s1992 gw | s |||| 0|eng d
020 _a9783540470618
_9978-3-540-47061-8
024 7 _a10.1007/BFb0094234
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
245 1 0 _aQuasiconformal Space Mappings
_h[electronic resource] :
_bA collection of surveys 1960–1990 /
_cedited by Matti Vuorinen.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
300 _aX, 150 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1508
505 0 _aConformal 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.
520 _aThis 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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
700 1 _aVuorinen, Matti.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540554189
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1508
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0094234
942 _2EBK1512
_cEBK
999 _c30806
_d30806