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从Zygmund型空间到α-Bloch空间的加权复合算子的紧性分析

The Compactness of the Weighted Composition Operators from Zygmund Type Spaces to α-Bloch Spaces
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摘要 令φ,u分别是复平面C上的单位开圆盘D中的解析自映射和解析函数.加权复合算子定义为(u Cφ)(f)(z)=u(z)f(φ(z)),(z∈D,f∈H(D)),本文讨论了该加权复合算子从Zygmund型空间到α-Bloch空间的紧性. Let φ be an analytic self-map and u be a fixed analytic function in the open unit disk D on the com-plex plane C.The weighted composition operator is defined by(u Cφ)( f)(z) = u(z) f(φ(z)),( z∈ D,f ∈ H(D)). This paper studies the compactness of the weighted composition operators from Zygmund type spaces to α-Blochspaces.
作者 郭洁婷
出处 《常熟理工学院学报》 2016年第2期91-95,共5页 Journal of Changshu Institute of Technology
关键词 加权复合算子 Α-BLOCH空间 ZYGMUND型空间 紧性 weighted composition operator α-Bloch space Zygmund type space compactness
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参考文献6

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二级参考文献18

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