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

Author(s)
Luke David Edholm, Debraj Chakrabarti, Chase Bender, Meera Mainkar
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.

Organisation(s)
Department of Mathematics
External organisation(s)
Central Michigan University
Journal
Volume
74
Pages
732-772
No. of pages
41
ISSN
0008-414X
DOI
https://doi.org/10.4153/S0008414X21000079
Publication date
2021
Peer reviewed
Yes
Austrian Fields of Science 2012
101002 Analysis
Keywords
ASJC Scopus subject areas
Mathematics(all)
Portal url
https://ucris.univie.ac.at/portal/en/publications/lp-regularity-of-the-bergman-projection-on-quotient-domains(db0b7604-2b45-4e89-8703-2d4120bc64bf).html