Geodesic
$L^p$-regularity of the Bergman projection on quotient domains
Canadian journal of mathematics, Tome 74 (2022) no. 3, pp. 732-772

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DOI

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 .
DOI : 10.4153/S0008414X21000079
Mots-clés : Bergman spaces, Bergman projection, Reinhardt domains, Generalized Hartogs triangle 
Bender, Chase; Chakrabarti, Debraj; Edholm, Luke; Mainkar, Meera. $L^p$-regularity of the Bergman projection on quotient domains. Canadian journal of mathematics, Tome 74 (2022) no. 3, pp. 732-772. doi: 10.4153/S0008414X21000079
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     author = {Bender, Chase and Chakrabarti, Debraj and Edholm, Luke and Mainkar, Meera},
     title = {$L^p$-regularity of the {Bergman} projection on quotient domains},
     journal = {Canadian journal of mathematics},
     pages = {732--772},
     year = {2022},
     volume = {74},
     number = {3},
     doi = {10.4153/S0008414X21000079},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000079/}
}
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