{
  "id": "2106.12872",
  "version": "v1",
  "published": "2021-06-24T10:13:00.000Z",
  "updated": "2021-06-24T10:13:00.000Z",
  "title": "Boundedness criterion for sublinear operators and commutators on generalized mixed Morrey spaces",
  "authors": [
    "Mingquan Wei"
  ],
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "In this paper, the author studies the boundedness for a large class of sublinear operator $T_\\alpha, \\alpha\\in[0,n)$ generated by Calder{\\'o}n-Zygmund singular integral operators ($\\alpha=0$) and generated by fractional integral potential operators ($\\alpha>0$) on the generalized mixed Morrey spaces $M^\\varphi_{\\vec{q}}(\\Bbb R^n)$. Moreover, the boundeness for the commutators of $T_\\alpha, \\alpha\\in[0,n)$ on the generalized mixed Morrey spaces $M^\\varphi_{\\vec{q}}(\\Bbb R^n)$ is also studied. As applications, we obtain the boundedness for the Hardy-Littlewood maximal operator, the Calder{\\'o}n-Zygmund singular integral operator, the fractional integral operator, the fractional maximal operator and their commutators on the generalzied mixed Morrey spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-24T10:13:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25",
      "42B35"
    ],
    "keywords": [
      "generalized mixed morrey spaces",
      "sublinear operator",
      "n-zygmund singular integral operator",
      "boundedness criterion",
      "commutators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}