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Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space
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O174

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    Abstract:

    We characterize the hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space.We obtain that there are no hypercyclic composition operators on the Little Bloch Space and the Besov space when holomorphic self-map is an automorphism.And when holomorphic self-map is a non-automorphism,we discuss the hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space under certain conditions.

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Cite this article as: ZHOU Ning, CHEN Cui. Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space [J]. J Sichuan Univ: Nat Sci Ed, 2017, 54: 1131.

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History
  • Received:May 04,2017
  • Revised:May 23,2017
  • Adopted:June 20,2017
  • Online: November 13,2017

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