Stein interpolation for the real interpolation method

Nick Lindemulder; Emiel Lorist

doi:10.1007/s43037-021-00159-1

Stein interpolation for the real interpolation method

Nick Lindemulder, Emiel Lorist^*

^*Corresponding author for this work

Analysis

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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 L^p-spaces and the sectoriality of closed operators with the real interpolation method.

Original language	English
Article number	7
Journal	Banach Journal of Mathematical Analysis
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/s43037-021-00159-1
Publication status	Published - 2022

Keywords

Analytic operator family
Real interpolation

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10.1007/s43037-021-00159-1

Lindemulder-Lorist2021_Article_SteinInterpolationForTheRealInFinal published version, 1.52 MBLicence: CC BY

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title = "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.",

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AB - 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.

KW - Analytic operator family

KW - Real interpolation

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U2 - 10.1007/s43037-021-00159-1

DO - 10.1007/s43037-021-00159-1

M3 - Article

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VL - 16

JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

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Stein interpolation for the real interpolation method

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