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

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 نشر من قبل Debraj Chakrabarti
 تاريخ النشر 2020
  مجال البحث
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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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