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$L^p$-regularity of the Bergman projection on quotient domains
Published online by Cambridge University Press: 08 February 2021
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 .
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- © Canadian Mathematical Society 2021
Footnotes
Chase Bender was supported by a Student Research and Creative Endeavors grant from Central Michigan University.
Debraj Chakrabarti was partially supported by National Science Foundation grant DMS-1600371.
References
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