$L^p$ 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
- Canadian Journal of Mathematics
- 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