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一类Nehari函数族的拟共形延拓与系数偏差 被引量：2

On the Quasiconformal Extensions and Coefficients Distortion for a Nehari Class
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摘要 研究一类Nehari函数族的拟共形延拓,给出拟共形延拓的复伸张估计.对该类函数在单位圆内级数展开的系数给出一些精确估计,改进并推广了杨宗信等人的相应结果. The quasiconformal extensions for one class of Nehari functions are considered,and their dilatations are estimated.Some sharp coefficient estimates are obtained for these Nehari functions with normal condition.Our results improve the one made by Yang and Chen.
作者 谢志春 黄心中
机构地区 华侨大学数学科学学院
出处 《华侨大学学报（自然科学版）》 CAS 北大核心 2011年第3期343-347,共5页 Journal of Huaqiao University(Natural Science)
基金 福建省自然科学基金项目(2008J0195)
关键词 Nehari函数族 SCHWARZ导数 拟共形延拓 系数估计 Nehari class Schwarzian derivative quasiconformal extension coefficient estimate
分类号 O174.55 [理学—基础数学]
  • 相关文献

参考文献12

  • 1杨宗信.一类Nehari函数的偏差性质[J].数学年刊（A辑）,2007,28(6):781-790. 被引量：4
  • 2杨宗信,陈纪修.Nehari函数族的偏差定理与拟共形延拓[J].数学年刊（A辑）,2004,25(6):695-704. 被引量：9
  • 3M. Chuaqui,B. Osgood.Ahlfors-Weill extensions of conformal mappings and critical points of the Poincaré metric[J]. Commentarii Mathematici Helvetici . 1994 (1)
  • 4F. W. Gehring,Ch. Pommerenke.On the Nehari univalence criterion and quasicircles[J]. Commentarii Mathematici Helvetici . 1984 (1)
  • 5CHUAQUI M,,OSGOOD B.Finding complete conformal metrics to extend conformal mappings. Indiana Univer-sity Mathematics Journal . 1998
  • 6CHUAQUI M,POMMERENKE C.Characteristic properties of Nehari functions. Pacific Journal of Mathematics . 1999
  • 7CHUAQUI M,OSGOOD B.General univalence criteria in the disk:Extensions and extremal function. Ann AcadSci Fenn . 1998
  • 8Nehari,Z.Univalence criteria depending on the Schwarzian derivative. Illinois Journal of Mathematics . 1979
  • 9Lehto O.Univalent Functions and Teichmüller Space. . 1987
  • 10Nehari Z.The Schwarzian derivative and schlicht functions. Bulletin of the American Mathematical Society . 1949

二级参考文献10

  • 1杨宗信,陈纪修.Nehari函数族的偏差定理与拟共形延拓[J].数学年刊（A辑）,2004,25(6):695-704. 被引量：9
  • 2ZHUHUACHENG,YANGZONGXIN,CHENJIXIU.SOME RESULTS OF A NEHARI FAMILY[J].Chinese Annals of Mathematics,Series B,2005,26(1):57-66. 被引量：4
  • 3Ahlfors, L. & Weill, G., A uniqueness theorem for Beltrami equations [J], Proc. Amer.Math. Soc., 13(1962), 975-978.
  • 4Chuaqui, M., On a theorem of Nehari and quasidiscs [J], Ann. Acad. Sci. Fenn.,18(1993), 117-124.
  • 5Chuaqui, M. & Osgood, B., Finding complete conformal metrics to extend conformal mappings (preprint).
  • 6Chuaqui, M. & Osgood, B., An extension of theorem of Gehring and Pommerenke [J],Israel J. Math., 91(1995), 393 407.
  • 7Chuaqui, M. & Osgood, B., Sharp distortion theorems associated with the Schwarzian derivative [J], J. London Math. Soc., 48:2(1993), 289 298.
  • 8Chuaqui, M., Osgood, B. & Pommerenke, Ch., John domains, quasidiscs, and the Nehari class [J], J. Reine und Angew. Math., 471(1996), 77-114.
  • 9Gehring, F. W. & Pommerenke, Ch., On the Nehari univalence criterion and quasicircles[J], Comment. Math. Helv., 59(1984), 226-242.
  • 10Nehari, Z., Univalence criteria depending on the Schwarzian derivative [J], Illinois J.Math., 23(1979), 345-351.

共引文献8

同被引文献11

  • 1杨宗信,陈纪修.Nehari函数族的偏差定理与拟共形延拓[J].数学年刊（A辑）,2004,25(6):695-704. 被引量：9
  • 2AHLFORS L. Lectures on quasiconformal mappings[M]. Providence: American Mathematical Society, 2006.
  • 3AHLFORS L, WEILL G. A uniqueness theorem for Beeltrami equations[J]. Proc Amer Math Soc, 1962,13 (6) 975- 978.
  • 4REICH E. On extremal quasiconformal extensions of conformal mappings[J]. Israel J Math, 1977,28(1/2) :91-97.
  • 5CLUNIE J, SHELL-SMALL T. Harmonic univalent functions[J]. Ann Acad Sci Fenn Ser A I Math, 1984 (9) :3-25.
  • 6SEKER B. Salagean-type harmonic univalent functions[J]. International Journal of the physical Sciences, 2011,6 (4) .. 801-807.
  • 7PAVLOVIC M. Boundary correspondence under harmonic quasiconformal homeomorphisms of the uint disk[J]. Ann Acad Sci Fenn Math,2002,27(2):365-372.
  • 8KALAJ D. Quasiconformal harmonic functions between convex domains[J]. Publications De L' Institut Mathema- tique, 2004,76(90) .- 3-20.
  • 9杨宗信.一类Nehari函数的偏差性质[J].数学年刊（A辑）,2007,28(6):781-790. 被引量：4
  • 10黄心中.单位圆盘上的调和拟共形同胚[J].数学年刊（A辑）,2008,29(4):519-524. 被引量：11

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华侨大学学报（自然科学版）
2011年 第3期

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