{
  "id": "2212.03509",
  "version": "v1",
  "published": "2022-12-07T08:28:17.000Z",
  "updated": "2022-12-07T08:28:17.000Z",
  "title": "On the function spaces of general weights",
  "authors": [
    "Douadi Drihem"
  ],
  "comment": "Ignore Theorem 3.20 and Corollary 3.26 of arXiv:2009.12223v2. arXiv admin note: text overlap with arXiv:2106.00621, arXiv:2009.03636",
  "categories": [
    "math.FA"
  ],
  "abstract": "The aim of this paper is twofold. Firstly, we chatacterize the spaces $\\dot{B}_{p,q}(\\mathbb{R}^{n},\\{t_{k}\\})$ and $\\dot{F}_{p,q}(\\mathbb{R}^{n},\\{t_{k}\\})$ for $q=\\infty $. Secondly, with some suitable assumptions on the $p$-admissible weight sequences $\\{t_{k}\\}$ we prove that \\begin{equation*} \\dot{F}_{p,q}(\\mathbb{R}^{n},\\{t_{k}\\})=\\dot{F}_{p,q}(\\mathbb{R}^{n},t_{j}),\\quad j\\in \\mathbb{Z}, \\end{equation*} in the sense of equivalent quasi-norms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-07T08:28:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general weights",
      "function spaces",
      "admissible weight sequences",
      "equivalent quasi-norms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}