Lp -regularity of the Bergman projection on quotient domains

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We obtain sharp ranges of LP -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 LP -boundedness on a domain and its quotient by a finite group. The range of p for which the Bergman projection is LP -bounded on our class of Reinhardt domains is found to shrink as the complexity of the domain increases.

Original languageEnglish
JournalCanadian Journal of Mathematics
StateAccepted/In press - Jan 2021


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