Bulletin of the Korean Mathematical Society (대한수학회보)

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COMPLEX SYMMETRIC WEIGHTED COMPOSITION-DIFFERENTIATION OPERATORS ON H2

  • Lian Hu (Department of Mathematics Shantou University) ;
  • Songxiao Li (Department of Mathematics Shantou University) ;
  • Rong Yang (Institute of Fundamental and Frontier Sciences University of Electronic Science and Technology of China)
  • Received : 2022.03.28
  • Accepted : 2023.06.09
  • Published : 2023.09.30
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Abstract

In this paper, we study the complex symmetric weighted composition-differentiation operator D𝜓,𝜙 with respect to the conjugation JW𝜉,𝜏 on the Hardy space H2. As an application, we characterize the necessary and sufficient conditions for such an operator to be normal under some mild conditions. Finally, the spectrum of D𝜓,𝜙 is also investigated.

Keywords

Acknowledgement

The authors would like to thank the referee for detailed comments that lead to improve the paper.

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