The Distortion Theorems for k-fold Symmetric Quasi-convex Mappings along a Unit Direction in C^n 被引量：1

C^n中k次对称准凸映射在单位多圆柱某方向上的偏差定理(英文)

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摘要 We obtain a distortion theorem of Jacobian matrix Jf（z） for k-fold symmetric quasi-convex f along a unit direction in C^n on the unit polydisc.

作者卢金刘太顺王建飞

机构地区 Department of Mathematics Department of Mathematics Department of Mathematics and Physics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第4期475-479,共5页 数学季刊（英文版）

基金 Supported by the NSF of Zhejiang Province(Y6090036,Y6100219) Supported by the National Natural Science Foundation of China(10826083,10971063)

关键词 quasi-convex mappings k-fold symmetric distortion theorem quasi-convex mappings k-fold symmetric distortion theorem

分类号 O174.56 [理学—数学]

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参考文献2

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共引文献30

1LIU Taishun & XU Qinghua Department of Mathematics, Huzhou Teachers College, Huzhou, 313000, China,Department of Mathematics, Jiangxi Normal University, Nanchang, 330022, China.On quasi-convex mappings of order α in the unit ball of a complex Banach space[J].Science China Mathematics,2006,49(11):1451-1457. 被引量：9
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3Xiaosong LIU,Taishun LIU.The Sharp Estimates of all Homogeneous Expansions for a Class of Quasi-convex Mappings on the Unit Polydisk in C^n[J].Chinese Annals of Mathematics,Series B,2011,32(2):241-252. 被引量：11
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7卢金,刘太顺,王建飞.DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN C^n[J].Acta Mathematica Scientia,2012,32(4):1675-1680. 被引量：4
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同被引文献4

1LIU TAISHUN,(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)REN GUANGBIN,(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China).THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS[J].Chinese Annals of Mathematics,Series B,1998,19(4):401-408. 被引量：39
2GONGSHENG,LIUTAISHUN.DISTORTION THEOREMS FOR BIHOLOMORPHICCONVEX MAPPINGS ON BOUNDEDCONVEX CIRCULAR DOMAINS[J].Chinese Annals of Mathematics,Series B,1999,20(3):297-304. 被引量：19
3刘太顺,任广斌.Growth theorem of convex mappings on bounded convex circular domains[J].Science China Mathematics,1998,41(2):123-130. 被引量：13
4卢金,刘太顺,王建飞.DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN C^n[J].Acta Mathematica Scientia,2012,32(4):1675-1680. 被引量：4

引证文献1

1ZHANG Xiao-fei,YAN Chun-yan.Growth Theorem and Distortion Theorem for a Sub class of Parab olic Starlike Mappings[J].Chinese Quarterly Journal of Mathematics,2016,31(2):211-220.

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3卢金,刘太顺,王建飞.DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN C^n[J].Acta Mathematica Scientia,2012,32(4):1675-1680. 被引量：4
4WANG Jian-fei,LIU Tai-shun.A Simple Proof of the Lower Bounds of Distortion Theorems on the Roper-Suffridge Operator[J].Chinese Quarterly Journal of Mathematics,2009,24(1):108-111.
5刘小松,刘太顺.AN INEQUALITY OF HOMOGENEOUS EXPANSION FOR BIHOLOMORPHIC QUASI-CONVEX MAPPINGS ON THE UNIT POLYDISK AND ITS APPLICATION[J].Acta Mathematica Scientia,2009,29(1):201-209. 被引量：8
6Xiaohui ZHENG,Jianfei WANG.Distortion Theorems and Schlicht Radius for p-Bloch Functions[J].Journal of Mathematical Research with Applications,2013,33(1):45-53.
7Xiaosong LIU,Taishun LIU.The Sharp Estimates of all Homogeneous Expansions for a Class of Quasi-convex Mappings on the Unit Polydisk in C^n[J].Chinese Annals of Mathematics,Series B,2011,32(2):241-252. 被引量：11
8冯淑霞,刘浩.THE GROWTH THEOREM FOR QUASI-CONVEX MAPPINGS IN HILBERT SPACES[J].Acta Mathematica Scientia,2002,22(4):446-450. 被引量：1
9ZHANG Xiao-fei,YAN Chun-yan.Growth Theorem and Distortion Theorem for a Sub class of Parab olic Starlike Mappings[J].Chinese Quarterly Journal of Mathematics,2016,31(2):211-220.
10郑学安,龚昇.DISTORTION THEOREM FOR BIHOLOMORPHIC MAPPINGS IN TRANSITIVE DOMAINS(Ⅱ)[J].Chinese Annals of Mathematics,Series B,1992,13(4):471-484.

Chinese Quarterly Journal of Mathematics

2012年第4期

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