Composition Operators on the Bergman Space with Quasiconformal Symbols

Xiang Fang, Kunyu Guo, Zipeng Wang

Research output: Contribution to journalArticlepeer-review


This paper introduces and studies composition operators on the Bergman space with quasiconformal symbols. We first characterize the boundedness of the norms. Then we discuss operator-theoretic issues including compactness characterization, essential norms, Schatten class membership, and conditions for closed ranges.

Original languageEnglish
Article number125
JournalJournal of Geometric Analysis
Issue number4
StatePublished - Apr 2023


  • Bergman space
  • Carleson box
  • Composition operator
  • Quasiconformal mapping


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