Sobolev Mapping of Some Holomorphic Projections
- Author(s)
- Luke David Edholm, Jeffery D. McNeal
- Abstract
Sobolev irregularity of the Bergman projection on a family of domains containing the Hartogs triangle is shown. On the Hartogs triangle itself, a sub-Bergman projection is shown to satisfy better Sobolev norm estimatesthan its Bergman projection.
- Organisation(s)
- Department of Mathematics
- External organisation(s)
- Ohio State University
- Journal
- The Journal of Geometric Analysis
- Volume
- 30
- Pages
- 1293–1311
- No. of pages
- 19
- ISSN
- 1050-6926
- DOI
- https://doi.org/10.1007/s12220-019-00345-6
- Publication date
- 04-2020
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101008 Complex analysis
- Keywords
- ASJC Scopus subject areas
- Geometry and Topology
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/36e6f18a-ba4b-4e02-ad96-c566858d2352