| Bergman型空间到Bers型空间之加权复合算子 |
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| 引用本文： | 江治杰.Bergman型空间到Bers型空间之加权复合算子[J].数学学报,2010,53(1):67-74. |
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| 作者姓名： | 江治杰 |
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| 作者单位： | 四川理工学院数学系; |
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| 基金项目： | 四川省教育厅重点基金资助项目(0720A04) |
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| 摘 要： | 讨论了Bergman型空间H(p,μ)到Bers型空间H_β~∞、小Bers型空间H_(β,0)~∞上的加权复合算子,给出了加权复合算子有界性、紧性、弱紧性的充要条件,以及紧复合算子的角导数准则.本文还讨论了具有闭值域的加权复合算子,得到了一个充分条件.
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| 关 键 词： | Bergman型空间 Bers型空间 加权复合算子 |
| 收稿时间： | 2008-10-09 |
| 修稿时间： | 2009-04-09 |
Weighted Composition Operator from Bergman-Type Spaces into Bers-Type Spaces |
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| Zhi Jie JIANG.Weighted Composition Operator from Bergman-Type Spaces into Bers-Type Spaces[J].Acta Mathematica Sinica,2010,53(1):67-74. |
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| Authors: | Zhi Jie JIANG |
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| Institution: | Department of Mathematics, Sichuan University of Science & Engerneering, Zigong 643000, P. R. China |
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| Abstract: | This paper investigates weighted composition operator from Bergman-type space into Bers-type space,and some necessnary and sufficient conditions of weighted composition operator to be bounded and compact and weak compact are obtained. The paper also gives the angular derivative rule of compactness of weighted composition operators.The paper also talks about weighted composition operator with closed range and a sufficient condition is given. |
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| Keywords: | Bergman-type space Bers-type space weighted composition operator |
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