Optimal Hardy inequalities for Schrodinger operators on graphs
- For a given subcritical discrete Schrodinger operator H on a weighted infinite graph X, we construct a Hardy-weight w which is optimal in the following sense. The operator H - lambda w is subcritical in X for all lambda < 1, null-critical in X for lambda = 1, and supercritical near any neighborhood of infinity in X for any lambda > 1. Our results rely on a criticality theory for Schrodinger operators on general weighted graphs.
| Author details: | Matthias Keller, Yehuda PinchoverORCiDGND, Felix PogorzelskiORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1007/s00220-018-3107-y |
| ISSN: | 0010-3616 |
| ISSN: | 1432-0916 |
| Title of parent work (English): | Communications in mathematical physics |
| Publisher: | Springer |
| Place of publishing: | New York |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2018/02/26 |
| Publication year: | 2018 |
| Release date: | 2022/01/17 |
| Volume: | 358 |
| Issue: | 2 |
| Number of pages: | 24 |
| First page: | 767 |
| Last Page: | 790 |
| Funding institution: | German Science FoundationGerman Research Foundation (DFG); Israel Science Foundation - Israel Academy of Sciences and HumanitiesIsrael Science Foundation [970/15]; Technion Fine Fellowship |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Green Open-Access |
