国家自然科学基金(10571164)

作品数：16被引量：81H指数：5
导出分析报告
相关作者：刘太顺徐庆华刘小松徐辉明王建飞更多>>
相关机构：湖州师范学院江西师范大学湛江师范学院浙江师范大学更多>>
相关期刊：《数学学报（中文版）》《Science China Mathematics》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>
相关主题：UNIT_BALLK+C^NZERO正规化更多>>
相关领域：理学电子电信更多>>
-
在结果中检索

检索结果分析

结果分析中...
共 条 记 录，以下是1-10
全选清除导出
参考文献引证文献引用追踪
视图：
排序：
COMPOSITION TYPE OPERATORS FROM HARDY SPACES TO μ-BLOCH SPACES ON THE UNIT BALL被引量：2
《Acta Mathematica Scientia》2009年第5期1430-1438,共9页王雄亮 刘太顺 
Supported by NSF of China (10571164);SRFDP of Higher Education (20050358052)
Let φ be a holomorphic self-map of Bn and ψ ∈ H（Hn）. A composition type operator is defined by Tψ,φ（f） = ψf o φ for f ∈ H（Bn）, which is a generalization of the multiplication operator and the composition...
关键词：Hardy spaces μ-Bloch spaces composition type operators BOUNDEDNESS COMPACTNESS 
Distortion Theorem for Bloch Mappings on the Unit Ball ■~n被引量：1
《Acta Mathematica Sinica,English Series》2009年第10期1583-1590,共8页Jian Fei WANG Tai Shun LIU 
supported by NNSF of China (Grant No.10826083);supported by NNSF of China (Grant No.10571164);NSF of Zhejiang province (Grant No.D7080080);SRFDP of Higher Education (Grant No.20050358052)
In this paper, we obtain a version of subordination lemma for hyperbolic disk relative to hyperbolic geometry on the unit disk D. This subordination lemma yields the distortion theorem for Bloch mappings f ∈ H（B^n）...
关键词：mapping distortion theorem Bloch mapping univalent ball hyperbolic distance HOLOMORPHIC 
C^n中Lie球R_(Ⅳ)(n)上的偏差定理被引量：1
《中国科学（A辑）》2009年第7期892-898,共7页王建飞 刘太顺 徐辉明 
国家自然科学基金(批准号:10826083,10571164);浙江省自然科学基金(批准号:D7080080);浙江省教育厅科研项目(批准号:Y200805520)资助项目
本文引入了Lie球双曲空间上映照族Hm(RIV(n)),满足m阶Jacobi行列式为零的全纯映照子族.而且当m趋于无穷时,该映照族就是RIV(n)上的局部双全纯映照族.作者用分析的方法给出了Hm(RIV(n))上的偏差定理.当m=1和m→+∞时,结果分别都回到了Gon...
关键词：全纯映照 偏差定理 BLOCH常数 Bloch映照 
正规化双全纯映照的增长和掩盖定理被引量：10
《数学年刊（A辑）》2009年第2期213-220,共8页徐庆华 刘太顺 
国家自然科学基金(No.10571164);教育部博士点基金(No.20050358052);江西省自然科学基金(No.2007GZS0177);江西师范大学博士专项研究资助的项目.
在一般复Banach空间的单位球上引入正规化全纯映照族■,考虑满足条件(Df(x))^(-1)f(x)∈■的正规化局部双全纯映照f(其中x=0是f(x)-x的k+1阶零点)并得到其增长和掩盖定理.所得结果统一和推广了许多已知结论.
关键词：k+1阶零点 增长和掩盖定理 β型螺形映照族及其子族 
On coeffcient estimates for a class of holomorphic mappings被引量：20
《Science China Mathematics》2009年第4期677-686,共10页XU QingHua1 & LIU TaiShun2 1 College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330027, China 2 Department of Mathematics, Huzhou Teacher’s College, Huzhou 313000, China 
supported by National Natural Science Foundation of China (Grant No. 10571164);Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20050358052);the Jiangxi Provincial Natural Science Foundation of China (Grant No. 2007GZS0177);Specialized Research Fund for the Doctoral Program of Jiangxi Normal University
Let X be a complex Banach space with norm · , B be the unit ball in X, Dn be the unit polydisc in Cn. In this paper, we introduce a class of holomorphic mappings Mg on B or Dn. Let f(x) be a normalized locally biholo...
关键词：ZERO of order k + 1 coeffcient ESTIMATES the FORMULA of Faàdi BRUNO 
一类全纯映射族的系数估计被引量：2
《中国科学（A辑）》2008年第11期1267-1275,共9页徐庆华 刘太顺 
国家自然科学基金(批准号:10571164);教育部博士点基金(批准号:20050358052);江西省自然科学基金(批准号:2007GZS0177);江西师范大学博士专项研究资助项目
在C^n中的单位多圆柱上和一般复Banach空间的单位球上引入正规化全纯映射族M_g.考虑满足条件(Df(x))^(-1)f(x)∈M_g的正规化局部双全纯映射f(其中x=0是f(x)-x的k+1阶零点)并得到其系数估计.所得结果统一和推广了许多已知结论.
关键词：k+1阶零点 系数估计 Faàdi Bruno公式 
Bloch constant of holomorphic mappings on the unit polydisk of C^n被引量：3
《Science China Mathematics》2008年第4期652-659,共8页WANG JianFei~(1+) LIU TaiShun~2 1 College of Mathematics and Physics Information Engineering Zhejiang Normal University Jinhua 321004,China 2 Department of Mathematics Huzhou Teachers College Huzhou 313000 China 
This work was supported by the National Natural Science Foundation of China(Grant No.10571164);Specialized Research Fund for the Doctoral Program of Higher Education(SRFDP)(Grant No.20050358052)
In this paper,we give a definition of Bloch mappings defined in the unit polydisk D^n, which generalizes the concept of Bloch functions defined in the unit disk D.It is known that Bloch theorem fails unless we have so...
关键词：BLOCH CONSTANT BLOCH MAPPING UNIVALENT ball critical point Julia lemma locally biholomorphic MAPPING Landau CONSTANT 
Weighted Bergman Spaces on Bounded Symmetric Domains
《Chinese Quarterly Journal of Mathematics》2008年第1期36-44,共9页王雄亮 刘太顺 
the NNSF of China(10571164);the SRFDP of Higher Education(20050358052)
On bounded symmetric domain Ω of C^n, we investigate the properties of functions in weighted Bergman spaces A^P（Ω,dvs） for 0 〈 p ≤ ＋∞ and -1 〈 s 〈 4-∞. Based on the estimate of Bergman kernel, we obtain som...
关键词：bounded symmetric domains linear operator D^αB weighted Bergman space A^P （ Ω  dvs） weighted Bergman space Aα^p β （Ω  dvs ） DUALITY 
THE GENERALIZED ROPER-SUFFRIDGE EXTENSION OPERATOR被引量：29
《Acta Mathematica Scientia》2008年第1期63-80,共18页冯淑霞 刘太顺 
Project supported by NNSF of China (10571164,10626015,10571044);SRFDP of Higher Education (20050358052);the Natural Science Foundation of Henan University (04ZDZR004).
This note induces some generalized Roper-Suffridge extension operators such that they are used to construct some almost starlike mappings of order α and starlike mappings of order a on different domains.
关键词：Roper-Suffridge operator almost starlike mapping of order a starlike mappings of order 
Bloch Constant of Holomorphic Mappings on the Unit Ball of C^n被引量：7
《Chinese Annals of Mathematics,Series B》2007年第6期677-684,共8页Jianfei WANG Taishun LIU 
Project supported by the National Natural Science Foundation of China(No.10571164);Specialized Research Fund for the Doctoral Program of Higher Education(No.20050358052);the Zhejiang Provincial Natural Science Foundation of China(No.Y606197).
In this paper, the authors establish distortion theorems for various subfamilies Hk（B） of holomorphic mappings defined in the unit ball in C^n with critical points, where k is any positive integer. In particular, th...
关键词：Bloch constant Holomorphic mappings Locally biholomorphic mappings Critical points 
全选清除导出
共2页<12>
检索报告 对象比较 聚类工具 使用帮助 返回顶部