Bulletin of the Korean Mathematical Society (대한수학회보)

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COMPACT COMPOSITION OPERATORS ON BESOV SPACES ON THE UNIT BALL

  • Chao Zhang (Department of Mathematics Guangdong University of Education)
  • Received : 2022.02.20
  • Accepted : 2023.02.24
  • Published : 2023.05.31
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Abstract

In this paper, we give new necessary and sufficient conditions for the compactness of composition operator on the Besov space and the Bloch space of the unit ball, which, to a certain extent, generalizes the results given by M. Tjani in [10].

Keywords

Acknowledgement

This work was done while the author visited the Department of Mathematics at Dalian University of Technology. The author would like to express his thanks to professor Yvfeng Lu and professor Tao Yu for their guidance and hospitality. The author is also deeply grateful to his advisor Guangfu Cao for his guidance and assistance. Many thanks also go to the referees, who give the advice to help the article be more readable and precise.

References

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