1 results
$L^p$
-regularity of the Bergman projection on quotient domains
- Part of
-
- Journal:
- Canadian Journal of Mathematics / Volume 74 / Issue 3 / June 2022
- Published online by Cambridge University Press:
- 08 February 2021, pp. 732-772
- Print publication:
- June 2022
-
- Article
- Export citation
-
We obtain sharp ranges of
$L^p$
-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 
$L^p$
-boundedness on a domain and its quotient by a finite group. The range of p for which the Bergman projection is 
$L^p$
-bounded on our class of Reinhardt domains is found to shrink as the complexity of the domain increases .
