Products of composition, multiplication and radial derivative operators from logarithmic Bloch spaces to weighted-type spaces on the unit ball
Products of composition, multiplication and radial derivative operators from logarithmic Bloch spaces to weighted-type spaces on the unit ball
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DOI：
10.1016/j.jmaa.2014.09.069
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发表时间：
2015-03
影响因子：
1.3
通讯作者：
Yongmin Liu;Yanyan Yu
中科院分区：
文献类型：
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作者：
Yongmin Liu;Yanyan Yu
设H（B）表示Cn的单位球B上的全纯函数空间，φ ∈ H（B），φ是B的全纯自映射.设C φ、M φ和R分别表示复合算子、乘法算子和径向导数算子。本文刻画了单位球上由对数Bloch空间到加权型空间的乘积所诱导的线性算子的有界性和紧性。
Let H (B) denote the space of all holomorphic functions on the unit ball B of C n, ψ∈ H (B) and φ be a holomorphic self-map of B. Let C φ, M ψ and R denote the composition, multiplication and radial derivative operators, respectively. In this paper, we characterize the boundedness and compactness of linear operators induced by products of these operators from logarithmic Bloch spaces to weighted-type spaces on the unit ball.