Stein interpolation for the real interpolation method
Abstract:
We prove a complex formulation of the real interpolation method, showing that the real and complex interpolation methods are not inherently real or complex. Using this complex formulation, we prove Stein interpolation for the real interpolation method. We apply this theorem to interpolate weighted Lp-spaces and the sectoriality of closed operators with the real interpolation method.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 01.2022 |
| Sprache | Englisch |
| Identifikator | ISSN: 2662-2033, 1735-8787 KITopen-ID: 1000141035 |
| Erschienen in | Banach journal of mathematical analysis |
| Verlag | Springer |
| Band | 16 |
| Heft | 1 |
| Seiten | Art.Nr. 7 |
| Vorab online veröffentlicht am | 25.11.2021 |
| Nachgewiesen in | Scopus Dimensions Web of Science |