Bulletin of the Korean Mathematical Society (대한수학회보)

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SCHATTEN CLASSES OF COMPOSITION OPERATORS ON DIRICHLET TYPE SPACES WITH SUPERHARMONIC WEIGHTS

  • Zuoling Liu (Department of Mathematics Shantou University)
  • Received : 2022.01.25
  • Accepted : 2024.04.26
  • Published : 2024.07.31
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Abstract

In this paper, we completely characterize the Schatten classes of composition operators on the Dirichlet type spaces with superharmonic weights. Our investigation is basced on building a bridge between the Schatten classes of composition operators on the weighted Dirichlet type spaces and Toeplitz operators on weighted Bergman spaces.

Keywords

Acknowledgement

The author would like to thank his advisor, professor Hasi Wulan, for his kindness and constant encouragement. The author is very grateful for the meticulous review and valuable suggestions from the anonymous reviewers!

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