解析函数空间中复合算子的平均遍历性
MEAN ERGODICITY OF COMPOSITION OPERATORS BETWEEN BANACH SPACES OF ANALYTIC FUNCTIONS

本文研究了复合算子的遍历性问题.利用经典算子理论的方法,获得了单位圆上加权Banach空间中复合算子遍历性的结果,我们还得到单位圆上Hardy空间中类似的结果,我们的结论是对乘子算子相关结果的推广.
In this paper, we study mean ergodicity of some composition operators. By the classical theory of operators, we get the characterization of mean ergodicity for composition operators between given weighted Banach spaces of analytic functions defined on the unit disk. The same characterization on Hardy space of unit disk is also discussed. Our characterizations can be regarded as generalization of existing results for multiplication operators