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

15 pages, slightly improved presentation

References in corpus (1)

• A discrete framework for the interpolation of Banach spaces

Cited by in corpus (1)

• A discrete framework for the interpolation of Banach spaces