Corner spaces and Mellin quantization
- Manifolds with corners in the present investigation are non-smooth configurations - specific stratified spaces - with an incomplete metric such as cones, manifolds with edges, or corners of piecewise smooth domains in Euclidean space. We focus here on operators on such "corner manifolds" of singularity order <= 2, acting in weighted corner Sobolev spaces. The corresponding corner degenerate pseudo-differential operators are formulated via Mellin quantizations, and they also make sense on infinite singular cones.
| Author details: | Der-Chen ChangGND, Bert-Wolfgang SchulzeGND |
|---|---|
| ISSN: | 1345-4773 |
| ISSN: | 1880-5221 |
| Title of parent work (English): | Journal of nonlinear and convex analysis : an international journal |
| Publisher: | Yokohama Publishers |
| Place of publishing: | Yokohama |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2018 |
| Publication year: | 2018 |
| Release date: | 2022/03/31 |
| Tag: | Mellin quantizations; operator-valued symbols; weighted edge and corner spaces |
| Volume: | 19 |
| Issue: | 2 |
| Number of pages: | 17 |
| First page: | 179 |
| Last Page: | 195 |
| Funding institution: | China Medical UniversityChina Medical University |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
