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A remark on "an approximation condition and extremal quasiconformal extension 被引量:8

A remark on "an approximation condition and extremal quasiconformal extension
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摘要 LET D be the unit disk in the complex plane C and f be a sense preserving quasisymmetrichomeomorphism of D onto itself. Denote by Q a quadrilateral D (z<sub>1</sub>, z<sub>2</sub>, z<sub>3</sub>, z<sub>4</sub> ) with do-main D and vertices z<sub>1</sub>, z<sub>2</sub>, z<sub>3</sub>, z<sub>4</sub> ∈D, and by M(Q) its conformal modulus. We are in-
机构地区 Fudan Univ
出处 《Chinese Science Bulletin》 SCIE EI CAS 1997年第21期1765-1767,共3页
关键词 quasisymmetric function EXTREMAL quasiconformal MAPPING TEICHMÜLLER mapping. quasisymmetric function extremal quasiconformal mapping Teichmuller mapping
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同被引文献27

  • 1[1]Reich E, Strebel K.Extremal quasiconformal mappings with given boundary values.Contributions to Analysis[M].New York:Academic Press, 1974, 375-392.
  • 2[2]Reich E.An approximation condition and extremal quasiconformal extensions[J].Proc.Amer.Math.soc., 1997, 125(5):1479-1481.
  • 3[3]Wu Shengjian.Moduli of quadrilaterals and extremal quasiconformal extensions of quasisymmetric functions[J].Comm.Math.Helv., 1997, 72(4):593-604.
  • 4Yang,S .S.Extremalquasiconformalextensions. Preprints . 1993
  • 5AndersonJM,HinkkanenA.Quadrilateralsandextremalquasiconformalextensions. CommentMathHelv . 1995
  • 6F.P. Gardiner,D.P. Sullivan.Symmetric structures on a closed curve. American Journal of Mathematics . 1992
  • 7Reich,E.Anapproximationconditionandextremalquasiconformalextensions,Proc. Amer.Math . 1997
  • 8Wu,S .J.Moduliofquadrateralsandextremalquasiconformalextensionsofquasisymmetricfunctions,Comment.Math. Helv . 1997
  • 9Earle,C .J,Li,Z.IsometricallyembeddedpolydisksininfinitedimensionalTeichmllerspaces. J .Geom.Analysis .
  • 10Teichmller,O.Extremalquasikonformeabbidungenundquadratischedifferentiale. OswaldTeichmllerGesammelteAbhandungenCollectedPapers . 1982

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