Stein interpolation for the real interpolation method

Stein interpolation for the real interpolation method

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...

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Veröffentlicht in:Banach journal of mathematical analysis 2022, Vol.16 (1), Article 7
Hauptverfasser: Lindemulder, Nick, Lorist, Emiel
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Original Paper
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Zusammenfassung: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.
ISSN:2662-2033
1735-8787
DOI:10.1007/s43037-021-00159-1