| 多圆柱上不同Bloch型空间之间的加权复合算子 |
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| 引用本文： | 徐辉明,刘太顺.多圆柱上不同Bloch型空间之间的加权复合算子[J].数学年刊A辑(中文版),2005(1). |
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| 作者姓名： | 徐辉明 刘太顺 |
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| 作者单位： | 中国科学技术大学数学系，中国科学技术大学数学系 合肥 230026 浙江师范大学数理学院，浙江金华 321004，合肥 230026 |
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| 基金项目： | 国家重点基础研究发展规划(No.G1999075105)
浙江省自然科学基金(No.100042)资助项目. |
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| 摘 要： | 本文研究了多复变数单位多圆柱上不同的p-Bloch空间,小p-Bloch空间和小p-Bloch*空间 (0
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| 关 键 词： | Bloch型空间 加权复合算子 有界算子 紧算子 |
WEIGHTED COMPOSITION OPERATORS BETWEEN DIFFERENT BLOCH-TYPE SPACES ON THE UNIT POLYDISC |
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| XU Huiming LIU Taishun.WEIGHTED COMPOSITION OPERATORS BETWEEN DIFFERENT BLOCH-TYPE SPACES ON THE UNIT POLYDISC[J].Chinese Annals of Mathematics,2005(1). |
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| Authors: | XU Huiming LIU Taishun |
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| Institution: | XU Huiming LIU TaishunDepartment of Mathematics,University of Science and Technology of China,Hefei 230026, College of Mathematics and Physics,Zhejiang Normal University,Jinhua 321004,Zhejiang,China.Department of Mathematics,University of Science and Technology of China,Hefei 230026,China. |
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| Abstract: | This paper investigates the weighted composition operators between different Bloch-type spaces, little Bloch-type spaces and little Bloch-type* spaces defined on the unit poly-disc, and obtains some necessary and sufficient conditions of the boundedness and compactness. The results are the generalization of some known results. |
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| Keywords: | Bloch-type space Weighted composition operator Bounded operator Compact operator |
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