Bergman Subspaces and Subkernels
- Author(s)
- Luke David Edholm, Jeffery D. McNeal
- Abstract
Regularity and irregularity of the Bergman projection on L
p spaces is established on a natural family of bounded, pseudoconvex domains. The family is parameterized by a real variable γ. A surprising consequence of the analysis is that, whenever γ is irrational, the Bergman projection is bounded only for p= 2.
- Organisation(s)
- Department of Mathematics
- External organisation(s)
- Ohio State University
- Journal
- The Journal of Geometric Analysis
- Volume
- 27
- Pages
- 2658–2683
- No. of pages
- 26
- ISSN
- 1050-6926
- DOI
- https://doi.org/10.1007/s12220-017-9777-4
- Publication date
- 10-2017
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101008 Complex analysis
- Keywords
- ASJC Scopus subject areas
- Geometry and Topology
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/bergman-subspaces-and-subkernels(b933ad10-8479-4576-bba8-32828c9fab27).html