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Sobolev Mapping of Some Holomorphic Projections
- Source :
- The Journal of Geometric Analysis. 30:1293-1311
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
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 estimates than its Bergman projection.
- Subjects :
- Mathematics::Functional Analysis
Pure mathematics
Mathematics - Complex Variables
Mathematics::Complex Variables
010102 general mathematics
Mathematics::Analysis of PDEs
Holomorphic function
01 natural sciences
Sobolev space
symbols.namesake
Differential geometry
Fourier analysis
Norm (mathematics)
0103 physical sciences
FOS: Mathematics
symbols
32A36, 32A25, 32W05
010307 mathematical physics
Geometry and Topology
Complex Variables (math.CV)
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 1559002X and 10506926
- Volume :
- 30
- Database :
- OpenAIRE
- Journal :
- The Journal of Geometric Analysis
- Accession number :
- edsair.doi.dedup.....c5e768b348e12cdda2e301ab883bed99
- Full Text :
- https://doi.org/10.1007/s12220-019-00345-6