Disjointness of the differentiation operator tuple on weighted Banach spaces of entire functions

Disjointness of the differentiation operator tuple on weighted Banach spaces of entire functions
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整个函数加权Banach空间上微分算子元组的不相交性

DOI:
10.7153/oam-2019-13-44
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发表时间:
2019
影响因子:
0.5
通讯作者:
Zhou Ze-Hua
Zhou Ze-Hua
中科院分区:
数学4区
文献类型:
--
作者:
Liang Yu-Xia;Zhou Ze-Hua

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相似文献

当微分算子在整函数的加权Banach空间上连续时,给出了Hv,0(C)上多个微分算子的不交混合性、不交超循环性和不交超循环性的几个刻画.特别地,我们导出了Hv,0(C)上单个微分算子的超循环性与元组Dr1,· · ·,DrN的不交混合(其中1r1 < r2 < · · · < rN)之间的等价性,从而加强了已有的一些结果.数学学科分类(2010):47A16,46E15。
When the differentiation operator is continuous on weighted Banach spaces of entire functions, several characterizations for the disjoint mixing, disjoint hypercyclicity and disjoint supercyclicity of finitely many differentiation operators on Hv,0(C) are presented. Especially, we deduce an equivalence between the hypercyclicity of a single differentiation operator and the disjoint mixing of tuple Dr1 , · · · ,DrN for 1 r1 < r2 < · · · < rN on Hv,0(C), which strengthens some existing results. Mathematics subject classification (2010): 47A16, 46E15.
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