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| 摘要: |
| 本文研究了Cn中单位多圆柱上的加对数权的Bloch空间和小Bloch空间上的加权复合算子.利用泛函分析的方法，获得了加权复合算子的有界性和紧性的充要条件，推广了Bloch空间的相关结论. |
| 关键词: 多圆柱 加权Bloch空间 加权复合算子 有界性 紧性 |
| DOI： |
| 分类号:O174.56 |
| 基金项目:国家自然科学基金资助（11571104）. |
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| WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BLOCH SPACE IN THE POLYDISC |
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GAO Zhi-juan,ZHANG Yan-lin,XIAO Jian-bin
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| Abstract: |
| In this paper, we investigate weighted composition operators on the Bloch space and small Bloch space with logarithmic weight in the unit polydisc in Cn. By using the method of functional analysis, the necessary and sufficient conditions of the boundedness and compactness of weighted composition operators are obtained. Some corresponding results about Bloch space are extended. |
| Key words: polydisc weighted Bloch space weighted composition operator boundedness compactness |
