In this paper,the weighted Bloch space and Bers-type space are defined for generalized Hua domains of the second kind,and the boundedness and the compactness of the weighted composition operators from α-Bloch spaces to Bers-type spaces on generalized Hua domains of the second kind are discussed.Thus the sufficient conditions and necessary conditions for the weighted composition operator to be bounded or compact are obtained.
关键词
广义华罗庚域/Bloch空间/Bers型空间/加权复合算子/有界性和紧性
Key words
generalized Hua domain/Bloch space/Bers-type space/weighted composition operator/boundedness and compactness
万方数据