| Lipschitz空间上的加权复合算子 |
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| 引用本文： | 周泽华,方中山.Lipschitz空间上的加权复合算子[J].数学进展,2004,33(6):691-696. |
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| 作者姓名： | 周泽华 方中山 |
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| 作者单位： | 1. 天津大学数学系,天津,300072;南开大学天津大学刘徽应用数学中心,天津,300072
2. 天津大学数学系,天津,300072 |
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| 基金项目： | Foundationitem:SupportedbytheNationalNaturalScienceFoundationofChina(No.10001030),andLiuHuiCenterforAppliedMathematics,NankaiUniversityandTianjinUniversity. |
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| 摘 要： | 设D是复空间C中的单位圆盘,ψ是D到自身的一个全纯映射,ψ(z)是D上的全纯函数,0＜α＜1.本文给出了单位圆盘中Lipschitz空间Lipa(D)上由ψ和ψ诱导的加权复合算子Wψ,ψ的有界性及紧性的充要条件.
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| 关 键 词： | Lipschitz空间 加权复合算子 复合算子 |
Weighted Composition Operators on the Lipschitz Space |
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| Abstract.Weighted Composition Operators on the Lipschitz Space[J].Advances in Mathematics,2004,33(6):691-696. |
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| Authors: | Abstract |
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| Abstract: | Let ψ(z) be a holomorphic self-map of D and ψ(z) a holomorphic function of D,where D is the unit disk of the complex plane C. Let 0 ＜α＜ 1, this paper gives some necessary and sufficient conditions for the weighted composition operator Wψ,ψ induced by ψb and ψ to be bounded and compact on the Lipschitz space Lipα (D). |
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| Keywords: | pschitz space weighted composition operator composition operator |
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