Stein interpolation for the real interpolation method
Functional Analysis
2022-03-16 v2
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 -spaces and the sectoriality of closed operators with the real interpolation method.
Keywords
Cite
@article{arxiv.2105.07702,
title = {Stein interpolation for the real interpolation method},
author = {Nick Lindemulder and Emiel Lorist},
journal= {arXiv preprint arXiv:2105.07702},
year = {2022}
}
Comments
15 pages, slightly improved presentation