Some characterizations for composition operators on the Fock spaces
Some characterizations for composition operators on the Fock spaces
复制标题
Fock空间上复合算子的一些表征
DOI：
10.1016/j.jmaa.2017.06.023
复制
发表时间：
2017
影响因子：
1.3
通讯作者：
Ruhan Zhao
中科院分区：
文献类型：
--
作者：
Liangying Jiang;Gabriel T. Prajitura;Ruhan Zhao
研究了Fock空间F α 2（Cn）（α> 0）上的复合算子，所考虑的问题包括本质范数、正规性、谱、循环性和Schatten类中的隶属度.这些性质与哈代空间和加权Bergman空间上的复合算子不同，我们给出了它们的完备刻画。
We study composition operators on the Fock spaces F α 2 (C n) for α> 0, problems considered including the essential norm, normality, spectra, cyclicity and membership in the Schatten classes. We give perfect characterizations for these basic properties, which are different with those composition operators on the Hardy space and the weighted Bergman spaces.