Sobolev Inequalities and the ∂¯-Neumann Operator
- Author(s)
- Friedrich Haslinger
- Abstract
We study a complex-valued version of the Sobolev inequalities and its relationship to compactness of the ∂¯¯¯-Neumann operator. For this purpose we use an abstract characterization of compactness derived from a general description of precompact subsets in L2-spaces. Finally we remark that the ∂¯¯¯-Neumann operator can be continuously extended provided a subelliptic estimate holds.
- Organisation(s)
- Department of Mathematics
- Journal
- Journal of Geometric Analysis
- Volume
- 26
- Pages
- 287-293
- No. of pages
- 7
- ISSN
- 1050-6926
- DOI
- https://doi.org/10.1007/s12220-014-9549-3
- Publication date
- 11-2014
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101002 Analysis
- Keywords
- ASJC Scopus subject areas
- Geometry and Topology
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/sobolev-inequalities-and-the-neumann-operator(bffc3277-3846-4dde-a4d4-c1d241e8e59a).html