加指数型权Bergman空间上的Volterra型算子  

Volterra Type Operators on the Weighted Bergman Space with Exponential Type Weights

作　　者：泮晓华[1] 徐宪民[2] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004 [2]嘉兴学院数学研究所,浙江嘉兴314001

出　　处：《嘉兴学院学报》2015年第6期40-46,51,共8页Journal of Jiaxing University

摘　　要：研究了单位圆盘D上加指数型权的Bergman空间上的Volterra型算子的某些性质.对于一类次调和函数ψ:D→R,讨论了从加指数型权的Bergman空间AL2ψ(D)到Bloch型空间Bψ(D)(或小Bloch型空间Bψ,0(D))的Volterra型算子Vgφ的有界性和紧性.The properties of the Volterra type operators on the weighted Bergman space with exponential type weights in the unit disk are investigated in this paper.For certain class of subharmonic functionψ：D → R , we obtain the necessary and sufficient condition for Volterra type operator from the weighted Bergman space AL 2ψ（D）to Bloch type space Bψ（D）（or little Bloch type space Bψ,0 （D））to be bounded and compact.

关 键 词：加指数型权Bergman空间 BLOCH型空间 Volterra型算子 有界性 紧性 

分 类 号：O177.2[理学—数学]