Interpolation of operators when the extreme spaces are $L^\infty$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152763In this paper, equivalence between interpolation properties of linear operators and monotonicity conditions are studied, for a pair $(X_0,X_1)$ of rearrangement invariant quasi Banach spaces, when the extreme spaces of the interpolation are $L^\infty$ and a pair $(A_0,A_1)$ under some assumptions. Weak and restricted weak intermediate spaces fall in our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.Functional Analysis46EInterpolation of operators when the extreme spaces are $L^\infty$text