Stein interpolation for the real interpolation method
N. Lindemulder (TU Delft - Analysis, Karlsruhe Institut für Technologie)
E. Lorist (TU Delft - 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 Lp-spaces and the sectoriality of closed operators with the real interpolation method.
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