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On the properties of rearrangement-invariant quasi-Banach function spaces (2404.00707v2)
Published 31 Mar 2024 in math.FA
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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