| 对数 Bloch 型空间的高阶导数特征 |
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| 引用本文： | 韩金桩,吴玉田.对数 Bloch 型空间的高阶导数特征[J].淮南工业学院学报,2014(2):32-34. |
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| 作者姓名： | 韩金桩 吴玉田 |
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| 作者单位： | [1]呼伦贝尔学院数学科学学院,内蒙古呼伦贝尔021008 [2]肇庆学院数学与信息科学学院,广东肇庆526061 |
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| 基金项目： | 基金项目：内蒙古教育厅资助项目（NJZY14305）;肇庆学院科研基金资助项目 |
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| 摘 要： | 通过运用基本的积分技巧和Bergman空间的再生核公式，研究了对数-Bloch空间的若干性质。获得了解析函数属于对数-Bloch 空间的一个高阶导数特征；获得了解析函数属于对数-Bloch空间的一个无导数刻画。这两个特点是对数-Bloch空间重要的分析性质，它进一步完善了对数-Bloch空间的理论，有重要的理论和应用意义。
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| 关 键 词： | 对数-Bloch空间 高阶导数 再生核公式 |
The High Order Derivative Characterization of Logarithmic Bloch Type Spaces |
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| HAN Jin-zhuang,WU Yu-tian.The High Order Derivative Characterization of Logarithmic Bloch Type Spaces[J].Journal of Huainan Institute of Technology(Natural Science),2014(2):32-34. |
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| Authors: | HAN Jin-zhuang WU Yu-tian |
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| Affiliation: | 1. School of Mathematics, Hulunbeier University, Neimenggu, Hulunbeier 021008, China; 2. School of Mathematics and Informa- tion Sciences, Zhaoqing University, Zhaoqing Guangdong 526061, China) |
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| Abstract: | Applying the fundamental analysis technique and the reproducing formula of the Bergman space , some properties of logarithmic-Bloch type spaces were studied .The derivative -free characterizations was obtained for an analytic function belonging to the logarithmic -Bloch type spaces .The high order derivative characteriza-tion of the logarithmic -Bloch type space was obtained .The two properties are important , which enriches the theory of the logarithmic -Bloch type space.It has important significance in application . |
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| Keywords: | logarithmic-Bloch type spaces high order derivatives reproducing formula |
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