Stein interpolation for the real interpolation method

Journal article (2022)

Authors

N. Lindemulder Analysis - EEMCS , Karlsruhe Institut für Technologie
E. Lorist Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2022 N. Lindemulder, E. Lorist
DOI: https://doi.org/10.1007/s43037-021-00159-1
More Info
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Published Date

2022

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.