Bergman Projection on the Symmetrized Bidisk

Liwei Chen, Muzhi Jin, Yuan Yuan

Research output: Contribution to journalArticlepeer-review


We apply the Bekollé–Bonami estimate for the (positive) Bergman projection on the weighted Lp spaces on the unit disk. As the consequences, we obtain the boundedness of the Bergman projection on the weighted Sobolev space on the symmetrized bidisk. We also improve the boundedness result of the Bergman projection on the unweighted Lp space on the symmetrized bidisk in Chen et al. (J Funct Anal 279(2):108522, 2020).

Original languageEnglish (US)
Article number204
JournalJournal of Geometric Analysis
Issue number7
StatePublished - Jul 2023


  • Bergman kernel
  • Bergman projection
  • Symmetrized bidisk

ASJC Scopus subject areas

  • Geometry and Topology


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