Interpolation of operators when the extreme spaces are $L^{∞}$
Volume 104 / 1993
Studia Mathematica 104 (1993), 133-150
DOI: 10.4064/sm-104-2-133-150
Abstract
Under some assumptions on the pair $(A_0,B_0)$, we study equivalence between interpolation properties of linear operators and monotonicity conditions for a pair (Y,Z) of rearrangement invariant quasi-Banach spaces when the extreme spaces of the interpolation are $L^∞$. Weak and restricted weak intermediate spaces fall within our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.
