Topological Structures of Derivative Weighted Composition Operators on the Bergman Space

Topological Structures of Derivative Weighted Composition Operators on the Bergman Space
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Bergman空间上导数加权复合算子的拓扑结构

DOI:
10.1155/2015/672385
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发表时间:
2015-11
影响因子:
1.9
通讯作者:
Zhou, Ze-Hua
Zhou, Ze-Hua
中科院分区:
数学4区
文献类型:
--
作者:
Tong, Ce-Zhong;Yuan, Cheng;Zhou, Ze-Hua

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刻画了单位圆盘上Bergman空间上导数加权复合算子的差,并在算子范数拓扑下确定了线性-分数阶导数加权复合算子何时属于Bergman空间上导数加权复合算子空间的同一分支.
We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative weighted composition operators on the Bergman space under the operator norm topology.
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