{
  "id": "2008.11399",
  "version": "v1",
  "published": "2020-08-26T06:34:11.000Z",
  "updated": "2020-08-26T06:34:11.000Z",
  "title": "Isomorphic classification of $L_{p,q}$-spaces, II",
  "authors": [
    "Jinghao Huang",
    "Fedor Sukochev"
  ],
  "categories": [
    "math.FA"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-26T06:34:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite measure spaces",
      "complete isomorphic classification",
      "resonant measure spaces",
      "kuryakov-sukochev",
      "continuation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}