Bloch型空间到Besov空间上的Volterra型复合算子  

Volterra Type Operator between Bloch Type Spaces and Besov Spaces

作　　者：吴常晖 徐宪民[2] Wu Changhui Xu Xianmin(College of Mathematics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang 321004 Mathematics Institute, Jiaxing University, Jiaxing, Zhejiang 314001)

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》2016年第6期5-15,共11页Journal of Jiaxing University

摘　　要：探讨Bloch型空间到Besov空间上的复合算子C_φ与Volterra型算子Jg的乘积算子C_φ·J_g（也记作J_（φ,g））的有界性和紧性,给出了乘积算子J_φ,g：Β~β→B_p有界和成为紧算子的充分条件和必要条件.This paper studies the boundedness and compactness of the product of a composition operator Cφand a Volterra operator Jg between Bloch type spaces and Besov spaces.Some necessary and sufficient conditions are showed for the above operator to be bounded or compact respectively,

关 键 词：BLOCH型空间 BESOV空间 Volterra型复合算子 复合算子 

分 类 号：O177[理学—数学]