The hyper-singular cousin of the Bergman projection

Guozheng Cheng, Xiang Fang, Zipeng Wang, Jiayang Yu

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


The Bergman projection over the unit disk is one of the most studied objects in complex analysis and operator theory. In this paper the new finding is to observe some unexpected patterns in boundedness when we consider the hyper-singular cousins of the Bergman projection. We also show that these patterns don’t hold for the half-space, but we conjecture that they hold for general bounded domains.

Original languageEnglish
Pages (from-to)8643-8662
Number of pages20
JournalTransactions of the American Mathematical Society
Issue number12
StatePublished - Dec 2017


  • Bergman projection
  • Integral operator
  • Reproducing kernel
  • Unit disk


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