期刊文献+

单位球上星形映射在极值点处的偏差定理 被引量:3

Distortion Theorem at Extreme Points for Biholomorphic Starlike Mappings on the Unit Ball
下载PDF
导出
摘要 利用多复变数的边界型Schwarz引理,建立了C^n中单位球上正规化双全纯星形映射在极值点处的行列式型偏差定理和矩阵型偏差定理. Applying the Schwarz lemma at the boundary of the unit ball in Cn, the authors establish the distortion theorems of determinants and of matrices, respectively, at extreme points for normalized biholomorphic starlike mappings on the unit ball in Cn.
作者 刘太顺 唐笑敏 LIU Taishun TANG Xiaomin(Department of Mathematics, Huzhou University, Huzhou 313000, Zhejiang China. 2 Corresponding author. Department of Mathematics, Huzhou University Huzhou 313000, Zhejiang, China.)
出处 《数学年刊(A辑)》 CSCD 北大核心 2016年第1期47-54,共8页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.11471111 No.11271124 No.11426104) 浙江省自然科学基金(No.LY14A010017 No.LY15A010014) 河北省自然科学基金(No.A2014205069)的资助
关键词 星形映射 边界型Schwarz引理 行列式型偏差定理 矩阵型偏差定理 Starlike mapping, Schwarz lemma at the boundary, Distortiontheorem of determinants, Distortion theorem of matrices
  • 相关文献

参考文献10

  • 1Cartan H. Sur la possibilite d'entendre aux fonctions de plusieurs variables complexes la th@orie des fonctions univalents [M]//Montel P (ed). Lecons sur les Fonctions Univalents on Mutivalents. Paries: Gauthier-Villar, 1933:129-155 (in French).
  • 2Barnard R W, FitzGerald C H, Gong S. The growth and 4/1-theorems for starlike map- pings in Cn [J]. Pacific J Math, 1991, 150(1):13-22.
  • 3刘太顺.多复变数函数论中的增长定理、掩盖定理与偏差定理[D].合肥:中国科学技术大学,1989.
  • 4FitzGerald C H, Thomas C R. Some bounds on convex mappings in several complex variables [J]. Pacific J Math, 1994, 165(2):295-320.
  • 5Barnard R W, FitzGerald C H, Gong S. A distortion theorem for biholomorphie map- pings in C2 [J]. Trans Amer Math Soc, 1994, 344(2):907-924.
  • 6Liu T S, Zhang W J. A distortion theorem for biholomorphic convex mappings in Cn [J]. Chin J Contemp Math, 1999, 20(3):421-430.
  • 7Gong S, Wang S K, Yu Q H. Biholomorphic convex mappings of ball in Cn [J]. Pacific J Math, 1993, 161(2):287-306.
  • 8Liu T S, Wang J F, Lu J. Distortion theorems of starlike mappings in several complex variables [J]. Taiwan Residents J Math, 2011, 15(6):2601-2608.
  • 9刘小松,刘太顺.一类近于凸映照子族精确的偏差定理[J].数学年刊(A辑),2012,33(1):91-100. 被引量:9
  • 10Liu T S, Wang J F, Tang X M. Schwarz lemma at the boundary of the unit ball in Cn and its applications [J]. J Geom Anal, 2014.

二级参考文献7

共引文献8

同被引文献6

引证文献3

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部