C^n中单位球上几个全纯函数空间上加权复合算子的有界性  

The Boundedness of Weighted Composition Operators on Several Holomorphic Function Spaces on the Unit Ball of C^n

作　　者：张学军[1] 

机构地区：[1]湖南师范大学数学与计算机科学学院,湖南长沙410006

出　　处：《数学研究》2003年第3期243-250,共8页Journal of Mathematical Study

基　　金：国家自然科学基金(19871026)

摘　　要：讨论了C^n上单位球中p-Bloch空间上加权复合算子T_(,φ)的有界性,得到T_(,φ)是β~p到β~q有界算子的几个充分条件,此外还讨论了p-Bloch空间和小p-Bloch空间上复合算子T_(1.φ)的有界性,得到了几个充分条件和必要条件,就单位球的情形扩展了文[2]的结论。In this paper, we discuss the boundedness of weighted composition operator T,from generalized Bloch space βp to βq on the unit ball of C' and obtain several sufficient conditions. We study the boundedness of Composition operator T1,,on p-Bloch space and little p-Bloch space and obtain several sufficient conditions and necessary conditions also.

关 键 词：有界性 加权复合算子 P-BLOCH空间 单位球 点乘子 

分 类 号：O174.5[理学—数学]