LP-regularity of the Bergman projection on quotient domains

Chase Bender, Debraj Chakrabarti, Luke Edholm, Meera Mainkar

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We obtain sharp ranges of -boundedness for domains in a wide class of Reinhardt domains representable as sublevel sets of monomials, by expressing them as quotients of simpler domains. We prove a general transformation law relating -boundedness on a domain and its quotient by a finite group. The range of p for which the Bergman projection is -bounded on our class of Reinhardt domains is found to shrink as the complexity of the domain increases.

Original languageEnglish
Pages (from-to)732-772
Number of pages41
JournalCanadian Journal of Mathematics
Volume74
Issue number3
DOIs
StatePublished - Jun 8 2022

Keywords

  • Bergman projection
  • Bergman spaces
  • Generalized Hartogs triangle
  • Reinhardt domains

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