摘要
该文研究了Bergman空间A_α-p（B_n）上加权复合算子差的紧性问题.给出了两个加权复合算子之差为紧算子的一些充分和必要判据.同时也给出了某个加权复合算子与有限个加权复合算子之和的差为紧算子的一个完全刻画.
In this paper,we consider compact differences of weighted composition operators acting on the weighted Bergman spaces A_α~p(B_n).Some necessary and sufficient conditions for the difference of two bounded weighted composition operators to be compact are given.Moreover,we also obtain some similar conditions for a sum of weighted composition operators.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2016年第5期809-820,共12页
Acta Mathematica Scientia
基金
国家自然科学基金(11271293)资助~~
关键词
BERGMAN空间
加权复合算子
紧差
Bergman space
Weighted composition operator
Compact difference
