摘要
简单介绍了一些解析函数构成的Banach空间上的满等距的结果,然后刻画了多圆柱上α-Bloch空间复合算子的等距,并得到了复合算子等距的充要条件.
We first give a brief survey on some results about surjective isometries on some Banach spaces of analytic functions. Then we characterize the isometries among the composition operators acting on the α-Bloch space in the polydisk, and necessary and sufficient conditions are given for composition operators to be isometric.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2012年第2期273-280,共8页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(10971153
10671141)