The hyper-singular cousin of the Bergman projection

Guozheng Cheng, Xiang Fang, Zipeng Wang, Jiayang Yu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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
Volume369
Issue number12
DOIs
StatePublished - Dec 2017

Keywords

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

Fingerprint

Dive into the research topics of 'The hyper-singular cousin of the Bergman projection'. Together they form a unique fingerprint.

Cite this