PRODUCT TYPE OPERATORS ACTING BETWEEN WEIGHTED BERGMAN SPACES AND BLOCH TYPE SPACES  

作　　者：Zuoling LIU Hasi WULAN 刘佐灵;乌兰哈斯(Department of Mathematics,Shantou University,Shantou 515063,China)

机构地区：[1]Department of Mathematics,Shantou University,Shantou 515063,China

出　　处：《Acta Mathematica Scientia》2024年第4期1327-1336,共10页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(11720101003,12071272)。

摘　　要：For analytic functions u,ψin the unit disk D in the complex plane and an analytic self-mapφof D,we describe in this paper the boundedness and compactness of product type operators T_(u,ψ,φ)f(z)=u(z)f(φ(z))+ψ(z)f'(φ(z)),z∈D,acting between weighted Bergman spaces induced by a doubling weight and a Bloch type space with a radial weight.

关 键 词：COMPACTNESS BOUNDEDNESS Bloch type space product type operator weighted Bergman space 

分 类 号：O177[理学—数学]