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Real Interpolation with Logarithmic Functors and Reiteration
W. D. Evans, B. Opic
Journal:

Canadian Journal of Mathematics / Volume 52 / Issue 5 / 01 October 2000

Published online by Cambridge University Press:

20 November 2018, pp. 920-960

Print publication:

01 October 2000
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We present “reiteration theorems” with limiting values $\theta =0$ and $\theta =1$ for a real interpolation method involving broken-logarithmic functors. The resulting spaces lie outside of the original scale of spaces and to describe them new interpolation functors are introduced. For an ordered couple of (quasi-) Banach spaces similar results were presented without proofs by Doktorskii in $[\text{D}]$.