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arXiv · 2105.07702

Stein interpolation for the real interpolation method

Nick Lindemulder·Emiel Lorist
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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.

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Nick Lindemulder, Emiel Lorist. 2021-05-17. Stein interpolation for the real interpolation method. https://doi.org/10.1007/s43037-021-00159-1

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