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arXiv · 2004.02598

$L^p$-regularity of the Bergman projection on quotient domains

Chase Bender·Debraj Chakrabarti·Luke D. Edholm·Meera Mainkar
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Abstract

We obtain sharp ranges of $L^p$-boundedness for domains in a wide class of Reinhardt domains representable as sub-level 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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Chase Bender, Debraj Chakrabarti, Luke D. Edholm, Meera Mainkar. 2020-04-06. $L^p$-regularity of the Bergman projection on quotient domains. https://doi.org/10.4153/s0008414x21000079

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