| 加权Bloch空间上的加权复合算子 |
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| 引用本文： | 龙见仁,伍鹏程.加权Bloch空间上的加权复合算子[J].西南师范大学学报(自然科学版),2011,36(3). |
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| 作者姓名： | 龙见仁 伍鹏程 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院,贵阳,550001 |
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| 基金项目： | 贵州省科学技术基金资助项目 |
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| 摘 要： | 利用算子有界性和紧性的定义,给出了加权Bloch空间及加权小Bloch空间上加权复合算子的有界性和紧性的充分必要条件.
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| 关 键 词： | 加权复合算子 加权Bloch空间 有界性 紧性 |
Weighted Composition Operators on Weighted Bloch Space |
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| LONG Jian-ren,WU Peng-cheng.Weighted Composition Operators on Weighted Bloch Space[J].Journal of Southwest China Normal University(Natural Science),2011,36(3). |
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| Authors: | LONG Jian-ren WU Peng-cheng |
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| Institution: | LONG Jian-ren,WU Peng-cheng School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China |
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| Abstract: | By using the definitions of the boundedness and compactness,the boundedness and compactness of the weighted composition operators on the weighted Bloch space and the weighted little Bloch space on the unit disk are discussed.Some necessary and sufficient conditions are given for the weighted composition operators to be a bounded or compact operator on weighted Bloch space and the weighted little Bloch space. |
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| Keywords: | weighted composition operator weighted Bloch space boundedness compactness |
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