Differences of weighted composition operations on the unit polydisk

被引：0
作者：
Stević S. [1 ]
Jiang Z.J. [2 ]
机构：
[1] Mathematical Institute of the Serbian Academy of Sciences, Belgrade
[2] Sichuan University of Science and Engineering, Zigong, Sichuan
来源：
Siberian Mathematical Journal | 2011年 / 52卷 / 2期
关键词：
compact operator; polydisk; weighted Bergman space; weighted composition operator; weighted-type space;
D O I：
10.1134/S0037446611020200
中图分类号：
学科分类号：
摘要：
Let φ1 and φ2 be holomorphic self-maps of the unit polydisk DN, and let u1 and u2 be holomorphic functions on DN. We characterize the boundedness and compactness of the difference of weighted composition operators Wφ1, u1 and Wφ2, u2 from the weighted Bergman space, 0 < p < ∞, to the weighted-type space Hυ∞ of holomorphic functions on the unit polydisk DN in terms of inducing symbols φ1, φ2, u1, and u2. © 2011 Pleiades Publishing, Ltd.
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页码：358 / 371
页数：13
相关论文
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