On the properties of rearrangement-invariant quasi-Banach function spaces
arXiv:2404.00707 · doi:10.1016/j.na.2025.113854
Abstract
This paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the Luxemburg representation theorem for rearrangement-invariant quasi-Banach function spaces over resonant measure spaces. Secondly, we develop the theory of fundamental functions and endpoint spaces.
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