| 球上μ-Bloch空间的一种刻画(英文) |
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| 引用本文： | 郭远丽,徐辉明.球上μ-Bloch空间的一种刻画(英文)[J].数学杂志,2010,30(3). |
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| 作者姓名： | 郭远丽 徐辉明 |
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| 作者单位： | 浙江师范大学数学系,浙江,金华,321004 |
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| 摘 要： | 本文研究了单位球上μ-Bloch空间.利用径向导数和梯度的基本性质,我们获得了μ-Bloch空间的Holland-Walsh型刻画,推广了单位圆盘和单位球上的已有的一些结论.同时,得到了小μ-Bloch空间的相应特征.
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| 关 键 词： | μ-Bloch空间 小μ-Bloch空间 梯度 径向导数 μ-Bloch space little μ-Bloch space |
A CHARACTERIZATION OF μ-BLOCH SPACE ON THE UNIT BALL |
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| GUO Yuan-li,XU Hui-ming.A CHARACTERIZATION OF μ-BLOCH SPACE ON THE UNIT BALL[J].Journal of Mathematics,2010,30(3). |
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| Authors: | GUO Yuan-li XU Hui-ming |
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| Institution: | GUO Yuan-li,XU Hui-ming~+ (Dept.of Math.,Zhejiang Normal University,Jinhua 321004,China) |
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| Abstract: | In this article, the μ-Bloch spaces on the unit ball are studied. Using the basic quality of radial derivative and gradient, the authors obtain Holland-Walsh's characterization of the μ-Bloch spaces and generalize some known results on the unit disk and on the unit ball, respectively.At the same time, an analogous result of the little μ-Bloch spaces is given. |
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| Keywords: | gradient radial derivative |
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