| C^n单位球上Q_p空间的点态乘子 |
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| 引用本文： | 彭茹,欧阳才衡.C^n单位球上Q_p空间的点态乘子[J].数学物理学报(A辑),2005,25(6):821-831. |
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| 作者姓名： | 彭茹 欧阳才衡 |
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| 作者单位： | [1]武汉理工大学数学系,武汉430070 [2]中国科学院武汉物理与数学研究所,武汉430071 |
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| 基金项目： | 国家自然科学基金（10271117）资助 |
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| 摘 要： | 该文研究了C^n单位球上Q_p空间的点态乘子空间M(Q_p),分别给出了M(Q_p)与α Bloch 空间及Dirichlet型空间之间严格精确的包含关系.并相应地讨论了单位球上Q_{p,0}空间的点态乘子.
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| 关 键 词： | 单位球 Q_p空间 点态乘子 包含关系 |
| 文章编号： | 1003-3998(2005)06-821-11 |
| 收稿时间： | 2004-06-02 |
| 修稿时间： | 2004年6月2日 |
Pointwise Multipliers of Qp Spaces on the Unit Ball of Cn |
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| PENG Ru,OU Yang-Cai-Heng.Pointwise Multipliers of Qp Spaces on the Unit Ball of Cn[J].Acta Mathematica Scientia,2005,25(6):821-831. |
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| Authors: | PENG Ru OU Yang-Cai-Heng |
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| Institution: | 1.Department of Mathematics, Wuhan University of Technology, Wuhan 430070;2.Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071;3.Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 |
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| Abstract: | In this paper, the authors study the pointwise multiplier spaces M(Q_p) of function spaces Q_p on the unit ball of C^n.The inclusion relations between M(Q_p) and α Bloch spaces as well as Dirichlet type spaces are given, respectively. And the strictness and the best possibility of these inclusions are shown. Correspondingly, the authors discuss the pointwise multipliers of functi on spaces Q_{p,0} on the unit ball |
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| Keywords: | Unit ball Qp space Pointwise multiplier Inclusion relation |
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