四川大学学报（自然科学版）2023，Vol.60Issue(4)：39-50,12.DOI:10.19907/j.0490-6756.2023.041006
单位球上加权Bergman空间到加权型空间上的算子Cψ(R)mMu
The operator Cv(R)mMu from weighted Bergman space to weighted-type space on the unit ball
摘要
Abstract
Let Mu be the multiplication operator with symbol u which is a holomorphic function on the open unit ball B in Cn,Cψthe composition operator with symbol ψ which is a holomorphic self-map of B,and Rm,m ∈ N,the mth iterated radial derivative operator.The metrical boundedness and metrical compactness of the operator Cψ(R)mMu from weighted Bergman spaces to weighted-type spaces on B are m characterized.As an application of the proofs,the same properties of the operator S→,ψ,m=∑MuiCψRi i=0 from weighted Bergman spaces to weighted-type spaces on B are characterized.关键词
算子/度量有界性/度量紧性/加权Bergman空间/加权型空间Key words
Operator/Metrical boundedness/Metrical compactness/Weighted Bergman space/Weighted-type spaces分类
数理科学引用本文复制引用
黄成世,江治杰..单位球上加权Bergman空间到加权型空间上的算子Cψ(R)mMu[J].四川大学学报（自然科学版）,2023,60(4):39-50,12.基金项目
四川省科技计划项目(2022ZYD0010) （2022ZYD0010）
