Interpolation of operators when the extreme spaces are $L^\infty$
Functional Analysis
2008-02-03 v1
Abstract
In this paper, equivalence between interpolation properties of linear operators and monotonicity conditions are studied, for a pair of rearrangement invariant quasi Banach spaces, when the extreme spaces of the interpolation are and a pair under some assumptions. Weak and restricted weak intermediate spaces fall in our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.
Cite
@article{arxiv.math/9201226,
title = {Interpolation of operators when the extreme spaces are $L^\infty$},
author = {Jesús Bastero and Francisco J. Ruiz},
journal= {arXiv preprint arXiv:math/9201226},
year = {2008}
}