| 单位球Bn上的Bohr不等式 |
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| 引用本文： | 王建飞,刘太顺. 单位球Bn上的Bohr不等式[J]. 数学季刊, 2007, 22(2): 159-165 |
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| 作者姓名： | 王建飞 刘太顺 |
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| 作者单位： | [1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China [2]Department of Mathematics, Huzhou Teacher＇s College, Huzhou 313000, China |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目;浙江省自然科学基金 |
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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∞｜DφP（P）[D^kf（0）（z^k）]｜/k!｜｜DφP（P）｜｜〈1 for｜z｜〈max{1/2＋｜P｜,（1-｜p｜）/2^1/2andφ_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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| 关 键 词： | Bohr不等式 全纯映射 齐次展开式 全纯函数 |
| 文章编号： | 1002-0462（2007）02-0159-07 |
| 收稿时间： | 2006-12-20 |
| 修稿时间： | 2006-12-20 |
Bohr''''s Inequality on the Unit Ball Bn |
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| WANG Jian-fei,LIU Tai-shun. Bohr''''s Inequality on the Unit Ball Bn[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(2): 159-165 |
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| Authors: | WANG Jian-fei LIU Tai-shun |
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| Abstract: | |
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| Keywords: | Bohr's inequality holomorphic mapping homogeneous expansions |
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