{
  "id": "2301.03259",
  "version": "v1",
  "published": "2023-01-09T10:48:59.000Z",
  "updated": "2023-01-09T10:48:59.000Z",
  "title": "Mixed multiplication of Besov and Triebel-Lizorkin spaces",
  "authors": [
    "Douadi Drihem"
  ],
  "comment": "20 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper is concerned with proving some embeddings of the form \\begin{equation*} F_{p_{1},q}^{s_{1}}\\cdot B_{p_{2},\\infty }^{s_{2}}\\cdot ...\\cdot B_{p_{m},\\infty }^{s_{m}}\\hookrightarrow F_{p,q}^{s_{1}},\\quad m\\geq 2. \\end{equation*} The different embeddings obtained here are under certain restrictions on the parameters. In particular, we improve some results of pointwise multiplication on Triebel-Lizorkin spaces. Franke-Jawerth embeddings, the $\\pm $ - method of Gustaffson-Peetre and the relation between Hardy spaces and Triebel-Lizorkin spaces are the main tools.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-09T10:48:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "41A05"
    ],
    "keywords": [
      "triebel-lizorkin spaces",
      "mixed multiplication",
      "franke-jawerth embeddings",
      "hardy spaces",
      "main tools"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}