{
  "id": "2402.04635",
  "version": "v1",
  "published": "2024-02-07T07:36:57.000Z",
  "updated": "2024-02-07T07:36:57.000Z",
  "title": "Duality of Triebel-Lizorkin spaces of general weights",
  "authors": [
    "Douadi Drihem"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2106.00621, arXiv:2009.12223, arXiv:2212.03509",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we identify the duals of Triebel-Lizorkin spaces of generalized smoothness. In some particular cases these function spaces are just weighted Triebel-Lizorkin spaces. To do these, we will be working at the level of sequence spaces. The $\\varphi $-transform characterization of these function spaces in the sense of Frazier and Jawerth, and new weighted version of vector-valued maximal inequality of Fefferman and Stein are the main tools.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-07T07:36:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "42B35",
      "46E35"
    ],
    "keywords": [
      "general weights",
      "function spaces",
      "vector-valued maximal inequality",
      "transform characterization",
      "sequence spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}