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.
|Journal||Canadian Journal of Mathematics|
|State||Accepted/In press - Jan 2021|