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区域的Schwarz导数单叶性内径 被引量:1

The Inner Radius of Univalence by Schwarzian Derivative
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摘要 利用pre-Schwarz导数范数的方法对Schwarz导数意义下区域的单叶性内径进行了研究,得到了区域Schwarz导数单叶性内径下界的3个一般性公式. The inner radius of univalency of hyperbolic domains by sehwarzian derivative is studied by means of the norm of pre-Schwarzian derivative. Three general formulas for the lower bound on inner radius of univalence in the sense of schwarzian derivative are established.
作者 石艳 程涛
出处 《江西师范大学学报(自然科学版)》 CAS 北大核心 2010年第1期1-4,共4页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 江西省自然科学基金(2008GQS0053) 江西省教育厅科技(GJJ08163)资助项目
关键词 PRE-SCHWARZ导数 SCHWARZ导数 单叶性内径 pre-Schwarz derivative Schwarz derivative the inner radius of univalence
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参考文献17

  • 1Nehari Z. The Schwa_rzian derivative and schlicht functions [ J]. Bull Amer Math Soc, 1949,55:545-551.
  • 2Hille E. Remarks on a paper of zeev Nehari [J]. BuU Amer Math Soc, 1949,55;552-553.
  • 3Ahlfors L V,WeiU G. A uniqueness theorem for Beltrami equation [J] .Proc Amer Math Soc, 1962,13:975-978.
  • 4Ahlfors L V. Quasi-conformal reflections [J]. Acta Math, 1963,109:291-301.
  • 5Ahlfors L V. Lectures on quasiconfonnal mappings [ M]. New York: Nosmmd Company, 1966.
  • 6Ahlfors L V. Sufficient condition for quasi-conformal extension [ J]. Ann of Math Studies, 1974,79:23-29.
  • 7Becker J. Lownersche differertial gleichung and quasi-confoml fortsetzbare schlichte function [ J]. J Reine Angew Math, 1972,255:23- 43.
  • 8Becker J, Pommerenke C h. Schlicht theitskriterien and Jordan gebiete [ J ]. J Reine Angew Math, 1984,354: 74-94.
  • 9Tao CHENG,Yue Ming KANG,Ji Xiu CHEN.Inequalities on the Inner Radius of Univalency and the Norm of Pre-Schwarzian Derivative[J].Acta Mathematica Sinica,English Series,2009,25(1):59-64. 被引量:4
  • 10程涛,陈纪修.区域的对数导数单叶性内径[J].中国科学(A辑),2007,37(4):504-512. 被引量:10

二级参考文献29

  • 1CHENJIXIU],WEIHANBAI.SOME GEOMETRIC PROPERTIES ON A MODEL OF UNIVERSAL TEICHMLLER SPACES[J].Chinese Annals of Mathematics,Series B,1997,18(3):309-314. 被引量:13
  • 2WANG ZHE.THE DISTANCE BETWEEN DIFFERENT COMPONENTS OF THE UNIVERSAL TEICHMULLER SPACE[J].Chinese Annals of Mathematics,Series B,2005,26(4):537-542. 被引量:8
  • 3[1]Nehari Z.The Schwarzian derivative and schlicht functions[J].Bull Amer Math Soc,1949,55:545-551.
  • 4[2]Pokornyi V V.On some sufficient condition for univalence[J].Dokl Akad Nauk SSSR,1951,79:743-746.
  • 5[3]Nehari Z.Univalence criteria depending on the Schwarzian derivative[J].Ilinois J Math,1979,23:345-351.
  • 6[4]Ahlfors.L,Weill G.A uniqueness theorem for Beltrami equations[J].Proc Amer Math Soc,1962,13:975-978.
  • 7[5]Osgood B,Stowe D.A generalization of Nehari's univalence criterion[J].Comment Math Helv,1990,65:234-242.
  • 8[6]Chuaqui M,Osgood B.Sharp distortion theorems associated with the Schwarzian derivative[J].J London Math Soc,1993,48 (2):289-298.
  • 9[7]Essen M,Keogh F.The Schwarzian derivative and estimates of functions analytic in the unit disc[J].Math Proc Cambridge Philos Soc,1975,78:501-511.
  • 10[8]Kamke E.Differentialgleichungen losungsmethoden und losungen[M].New York:Chelsea,1948.

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