{
  "id": "2404.15550",
  "version": "v1",
  "published": "2024-04-23T22:38:01.000Z",
  "updated": "2024-04-23T22:38:01.000Z",
  "title": "Fractional maximal operators on weighted variable Lebesgue spaces over the spaces of homogeneous type",
  "authors": [
    "Xi Cen"
  ],
  "comment": "29 pages, 1 figure",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "Let $(X,d,\\mu)$ is a space of homogeneous type, we establish a new class of fractional-type variable weights $A_{p(\\cdot), q(\\cdot)}(X)$. Then, we get the new weighted strong-type and weak-type characterizations for fractional maximal operators $M_\\eta$ on weighted variable Lebesgue spaces over $(X,d,\\mu)$. This study generalizes the results by Cruz-Uribe-Fiorenza-Neugebauer (2012), Bernardis-Dalmasso-Pradolini (2014), Cruz-Uribe-Shukla (2018), and Cruz-Uribe-Cummings (2022).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-23T22:38:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "42B35"
    ],
    "keywords": [
      "weighted variable lebesgue spaces",
      "fractional maximal operators",
      "homogeneous type",
      "fractional-type variable weights",
      "weak-type characterizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}