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arXiv · 2008.11399

Isomorphic classification of $L_{p,q}$-spaces, II

Jinghao Huang·Fedor Sukochev
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Abstract

This is a continuation of the papers [Kuryakov-Sukochev, JFA, 2015] and [Sadovskaya-Sukochev, PAMS, 2018], in which the isomorphic classification of $L_{p,q}$, for $1< p<\infty$, $1\le q<\infty$, $p\ne q $, on resonant measure spaces, has been obtained. The aim of this paper is to give a complete isomorphic classification of $L_{p,q}$-spaces on general $\sigma$-finite measure spaces. Towards this end, several new subspaces of $L_{p,q}(0,1)$ and $L_{p,q}(0,\infty)$ are identified and studied.

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Jinghao Huang, Fedor Sukochev. 2020-08-26. Isomorphic classification of $L_{p,q}$-spaces, II. https://doi.org/10.1016/j.jfa.2021.108994

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