论文标题
加权构图操作员从Bloch空间到有界均匀域上加权Banach空间
Weighted composition operators from the Bloch space to weighted Banach spaces on bounded homogeneous domains
论文作者
论文摘要
我们研究了从BLOCH空间到有界均匀域上的加权BANACH空间的界面和紧凑的加权组成算子，并特别注意了单位Polydisk。对于有界的均匀域，我们表征了界面加权构图操作员并确定操作员规范。此外，我们还提供了足够的紧凑条件。对于单位polydisk，我们完全表征紧凑的加权构图算子，并提供对操作员规范的可计算估计。
We study the bounded and the compact weighted composition operators from the Bloch space into the weighted Banach spaces of holomorphic functions on bounded homogeneous domains, with particular attention to the unit polydisk. For bounded homogeneous domains, we characterize the bounded weighted composition operators and determine the operator norm. In addition, we provide sufficient conditions for compactness. For the unit polydisk, we completely characterize the compact weighted composition operators, as well as provide computable estimates on the operator norm.
