论文标题
$ l_ {p，q} $的同构分类 - ii
Isomorphic classification of $L_{p,q}$-spaces, II
论文作者
论文摘要
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 $, on resonant measure spaces, has been obtained.本文的目的是给出$ l_ {p，q} $的完整同构分类 - 一般$σ$ - finite量度空间上的空间。为此，确定并研究了几个新的$ l_ {p，q}（q}（0,1）$和$ l_ {p，q}（0，\ infty）$的子空间。
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 $σ$-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.
