Every rearrangement-invariant quasi-Banach function space is an interpolation space between two Lorentz spaces
Functional Analysis
2025-11-10 v1
Abstract
We extend some results of Kwok-Pun Ho. In particular, it will be shown that every rearrangement-invariant quasi-Banach function space E on a totally sigma-finite measure space with a non-atomic measure can be expressed is the form E=F(L(p0,q0),L(p1,q1)) for an interpolation functor F, where the construction of the functor F is given based on the space E itself.
Cite
@article{arxiv.2511.05096,
title = {Every rearrangement-invariant quasi-Banach function space is an interpolation space between two Lorentz spaces},
author = {Leo R. Ya. Doktorski},
journal= {arXiv preprint arXiv:2511.05096},
year = {2025}
}