加权Banach空间上线性分式复合算子的动力性质

Dynamics of composition operators on weighted Banach Spaces of holomorphic functionsweighted Banach space

摘要:

研究了加权Banach空间上复合算子的不交超循环性，根据解析映射的不同，给出了判断复合算子不交超循环和不交亚超循环的充分条件，另外，对该空间上的加权复合算子的超循环性，给出了刻画。

Abstract:

In this paper, we discuss the disjoint hypercyclicity of linear composition on the weighted Banach spaces.Moreover,according to the difference of the analytic maps,we obtain a sufficient condition for the disjoint hypercyclicity and disjoint supercyclicity of composition operators on $H^\infty_{\alpha,0}$. Moreover,we also obtain a partial characterization for the hypercyclicity of weighted composition operators on $H^\infty_{\alpha,0}$.