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://ucris.univie.ac.at/portal/en/publications/sobolev-mapping-of-some-holomorphic-projections(36e6f18a-ba4b-4e02-ad96-c566858d2352).html