This is a continuation of the papers [36] and [54], 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 σ-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.

中文翻译：

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L _p，q空间，II的同构分类

这是论文[36]和[54]的延续，其中对 ${\mathrm{大号}}_{p，q}$， 为了 $\mathrm{1个}<p<\infty$， $\mathrm{1个}\le q<\infty$， $p\ne q$，在共振测度空间上，已经获得。本文的目的是给出一个完整的同构分类${\mathrm{大号}}_{p，q}$一般σ-有限度量空间上的-空间。为此，有几个新的子空间${\mathrm{大号}}_{p，q}（0，\mathrm{1个}）$ 和 ${\mathrm{大号}}_{p，q}（0，\infty ）$ 被识别和研究。