Dynamics of composition operators on weighted Banach Spaces of holomorphic functionsweighted Banach space
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O192

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    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 $H^\infty_{\alpha,0}$.

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Cite this article as: HU Xiao-He. Dynamics of composition operators on weighted Banach Spaces of holomorphic functionsweighted Banach space [J]. J Sichuan Univ: Nat Sci Ed, 2017, 54: 1141.

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History
  • Received:May 26,2017
  • Revised:July 17,2017
  • Adopted:July 18,2017
  • Online: November 13,2017
  • Published: