Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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DISJOINT SUPERCYCLIC WEIGHTED COMPOSITION OPERATORS

  • Liang, Yu-Xia (School of Mathematical Sciences Tianjin Normal University) ;
  • Zhou, Ze-Hua (School of Mathematics Tianjin University)
  • Received : 2017.07.17
  • Accepted : 2018.05.09
  • Published : 2018.07.31
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Abstract

In this paper, we discovered a sufficient condition ensuring the weighted composition operators $C_{{\omega}_1,{\varphi}_1},{\cdots},C_{{\omega}_N,{\varphi}_N}$ were disjoint supercyclic on $H({\Omega})$ endowed with the compact open topology. Besides, we provided a condition on inducing symbols to guarantee the disjoint supercyclicity of non-constant adjoint multipliers $M^*_{{\varphi}_1},M^*_{{\varphi}_2},{\cdots},M^*_{{\varphi}_N}$ on a Hilbert space ${\mathcal{H}}$.

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