From hardy to rellich inequalities on graphs
- We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality. The results are proven first for Laplacians and are extended to Schrodinger operators afterwards.
| Author details: | Matthias KellerORCiD, Yehuda PinchoverORCiDGND, Felix PogorzelskiORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1112/plms.12376 |
| ISSN: | 0024-6115 |
| ISSN: | 1460-244X |
| Title of parent work (English): | Proceedings of the London Mathematical Society |
| Publisher: | Wiley |
| Place of publishing: | Hoboken |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/08/16 |
| Publication year: | 2020 |
| Release date: | 2023/06/23 |
| Tag: | 26D15; 31C20; 35B09; 35R02; 39A12 (primary); 58E35 (secondary) |
| Volume: | 122 |
| Issue: | 3 |
| Number of pages: | 20 |
| First page: | 458 |
| Last Page: | 477 |
| Funding institution: | DFGGerman Research Foundation (DFG)European Commission |
| 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 / Hybrid Open-Access |
| License (German): |  CC-BY-NC-ND - Namensnennung, nicht kommerziell, keine Bearbeitungen 4.0 International |
| External remark: | Zweitveröffentlichung in der Schriftenreihe Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 1379 |
