摘要
刻划了具有总体紧性质的复合算子序列的符号函数,利用复合算子与Toeplitz算子的关系得到了Bergman空间上复合算子序列是总体紧算子序列的一个充分必要条件,从而推广了Smith的结果.
We give a function theoretic characterization for collectively compact composition operator sequences on Bergman space. The result shows that certain growth condition for generalized Nevanlinna counting functions of the inducing maps is necessary and sufficient for the collective compactness of composition operator sequences. The result extends W. Smith's result.
出处
《武汉大学学报(理学版)》
CAS
CSCD
北大核心
2002年第3期289-292,共4页
Journal of Wuhan University:Natural Science Edition
基金
国家自然科学基金资助(19771063)项目