| 加权BERGMAN空间上的加权复合算子 |
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| 引用本文： | 陈武福. 加权BERGMAN空间上的加权复合算子[J]. 汕头大学学报(自然科学版), 2012, 27(3): 1-6 |
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| 作者姓名： | 陈武福 |
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| 作者单位： | 华南农业大学珠江学院,广东广州,510900 |
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| 摘 要： | 从加权复合算子Wφ,ψf和Carleson测度的定义出发,结合已有的结论,用Nevanlinna计数函数刻划出了加权复合算子Wφ,ψf在加权Bergman空间Apα上的有界性和紧性.
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| 关 键 词： | 加权Bergman空间 加权复合算子 Carleson测度 有界 紧 |
Weighted Composition Operators on Weighted Bergman Spaces |
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| CHEN Wu-fu. Weighted Composition Operators on Weighted Bergman Spaces[J]. Journal of Shantou University(Natural Science Edition), 2012, 27(3): 1-6 |
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| Authors: | CHEN Wu-fu |
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| Affiliation: | CHEN Wu-fu(Zhujiang College,South China Agricultural University,Guangzhou 510900,Guangdong,China) |
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| Abstract: | From the weighted composition operators and Carleson measure as well as the relative results,the boundedness and compactness of acting on weighted Bergman spacesare characterized in terms of a Nevanlinna counting function. |
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| Keywords: | weighted Bergman spaces weighted composition operators Carlesonmeasure boundedness compactness |
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