Author:
Bender Chase,Chakrabarti Debraj,Edholm Luke,Mainkar Meera
Abstract
Abstract
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.
Publisher
Canadian Mathematical Society
Cited by
8 articles.
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