Lp regularity of the Bergman projection on domains covered by the polydisc

Liwei Chen, Steven G. Krantz, Yuan Yuan

Research output: Contribution to journalArticle

Abstract

If a bounded domain can be covered by the polydisc through a rational proper holomorphic map, then the Bergman projection is Lp-bounded for p in a non trivial interval depending on the ramified rational covering. This result can be applied to the symmetrized polydisc and to the Hartogs triangle with exponent γ.

Original languageEnglish (US)
Article number108522
JournalJournal of Functional Analysis
Volume279
Issue number2
DOIs
StateAccepted/In press - Jan 1 2020

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Keywords

  • Bergman projection
  • Symmetrized bidisc

ASJC Scopus subject areas

  • Analysis

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