| 从H∞到Bloch空间的积分算子特性研究 |
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| 引用本文： | 曹成堂.从H∞到Bloch空间的积分算子特性研究[J].淮阴工学院学报,2012,21(3):10-14. |
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| 作者姓名： | 曹成堂 |
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| 作者单位： | 连云港广播电视大学建筑工程系,江苏连云港,222006 |
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| 摘 要： | 研究单位圆盘上从有界解析函数空间到Bloch空间的积分算子Cφn,u的有界性和紧性。讨论算子IgCφ和JgC，当n=1时，u（z）=φ（z）g（z），积分算子Cφn,u为Cφn,u；当n=0时，u（z）=g≮z），积分算子Cφn,u为JgCφ在此基础上，通过推导得到从有界解析函数空间到Bloch空间的积分算子的有界性和紧性的充要条件。
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| 关 键 词： | 算子Cφn u 有界解析函数 Bloch空间 |
The Operator from the Space of Bounded Analytic Functions to Bloch Spaces |
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| CAO Cheng-tang.The Operator from the Space of Bounded Analytic Functions to Bloch Spaces[J].Journal of Huaiyin Institute of Technology,2012,21(3):10-14. |
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| Authors: | CAO Cheng-tang |
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| Affiliation: | CAO Cheng-tang(Department of Architectural Engineering,Lianyungang Radio and TV University, Lianyungang Jiangsu 222006,China) |
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| Abstract: | This paper discusses the boundedness and compactness of the integral operator Cφn,u from the space of bounded analytic functions to Bloch spaces on the unit disk.The operator IgCφ and JgCφhave been discussed in 7].Let n=1,u(z)=φ’(z)g(z),then Cφn,uis IgCφ,Let n=0,u(z)=g’(z),then Cφn,u is JgCφ.Some necessary and sufficient conditions are given for which Cφn,u is a bounded or a compact operator from the space of bounded analytic functions to Bloch spaces. |
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| Keywords: | operator Cφn u bounded analytic functions bloch spaces |
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