Bergman型空间到Bers型空间之加权复合算子  

Weighted Composition Operator from Bergman-Type Spaces into Bers-Type Spaces

作　　者：江治杰[1] 

机构地区：[1]四川理工学院数学系,自贡643000

出　　处：《数学学报（中文版）》2010年第1期67-74,共8页Acta Mathematica Sinica：Chinese Series

基　　金：四川省教育厅重点基金资助项目(0720A04)

摘　　要：讨论了Bergman型空间H（p,μ）到Bers型空间Hβ^∞、小Bers型空间Hβ,0^∞上的加权复合算子,给出了加权复合算子有界性、紧性、弱紧性的充要条件,以及紧复合算子的角导数准则.本文还讨论了具有闭值域的加权复合算子,得到了一个充分条件.This paper investigates weighted composition operator from Bergman-type space into Bers-type space, and some necessnary and sufficient conditions of weighted composition operator to be bounded and compact and weak compact are obtained. The paper also gives the angular derivative rule of compactness of weighted composition operators. The paper also talks about weighted composition operator with closed range and a sufficient condition is given.

关 键 词：Bergman型空间 BERS型空间 加权复合算子 

分 类 号：O174.56[理学—数学]