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

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Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space
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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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Received:May 04,2017
Revised:May 23,2017
Adopted:June 20,2017
Online: November 13,2017
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