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小Bloch型空间到小Bers型空间的加权复合算子(英文)

Weighted Composition Operator from the Little Bloch-type Space to the Little Bers-type Space
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摘要 给定单位球上的全纯函数u和单位球上的全纯自映射φ,讨论了小Bloch型空间到小Bers型空间的加权复合算子uCφ的有界性和紧性,给出了uCφ为有界算子或紧算子的充要条件. In this paper, we characterize those holomorphie symbols u on the unit ball B and holomorphic selfmappings Ф of B for which the weighted composition operator uCФ is bounded or compact from the little Bloch - type space to the little Bets - type space.
作者 陈凡 唐笑敏
出处 《湖州师范学院学报》 2013年第3期9-13,共5页 Journal of Huzhou University
基金 This research is supported by the NNSF of China(Nos.11101139,11271124)
关键词 正规权 小Bloch型空间 小Bers型空间 加权复合算子 Normal weight Little Bloch- type space Little Bers- type space Weighted composition operator
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参考文献9

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