Stein interpolation for the real interpolation method

Nick Lindemulder, Emiel Lorist*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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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.

Original languageEnglish
Article number7
JournalBanach Journal of Mathematical Analysis
Issue number1
Publication statusPublished - 2022


  • Analytic operator family
  • Real interpolation


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