| 单位球B~n上的Bohr不等式(英文) |
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| 引用本文： | 王建飞,刘太顺.单位球B~n上的Bohr不等式(英文)[J].数学季刊,2007(2). |
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| 作者姓名： | 王建飞 刘太顺 |
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| 作者单位： | Department of Mathematics University of Science and Technology of China，Department of Mathematics Huzhou Teacher's College，Hefei 230026 China，Huzhou 313000 China |
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| 基金项目： | Supported by the NNSF of China(10571164)，Supported by Specialized Research Fund for the Doctoral Program of Higher Education(SRFDP)(2050358052)，Supported by the NSF of Zhejiang Province(Y606197) |
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| 摘 要： | Bohr's type inequalities are studied in this paper: if f is a holomorphic mapping from the unit ball B~n to B~n, f(0)=p, then we have sum from k=0 to∞|Dφ_P(P)D~kf(0)(z~k)]|／k!||Dφ_P(P)||＜1 for|z|＜max{1／2 |P|,(1-|p|)／2~(1／2)andφ_P∈Aut(B~n) such thatφ_(p)=0. As corollaries of the above estimate, we obtain some sharp Bohr's type modulus inequalities. In particular, when n=1 and |P|→1, then our theorem reduces to a classical result of Bohr.
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Bohr's Inequality on the Unit Ball B~n |
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| WANG Jian-fei,LIU Tai-shun.Bohr's Inequality on the Unit Ball B~n[J].Chinese Quarterly Journal of Mathematics,2007(2). |
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| Authors: | WANG Jian-fei LIU Tai-shun |
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| Institution: | WANG Jian-fei~1,LIU Tai-shun~2 |
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| Abstract: | |
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| Keywords: | Bohr's inequality holomorphic mapping homogeneous expansions |
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