{
  "id": "2303.02897",
  "version": "v2",
  "published": "2023-03-06T05:19:55.000Z",
  "updated": "2023-05-10T01:47:49.000Z",
  "title": "On $L^{p}$-improving bounds for maximal operators associated with curves of finite type in the plane",
  "authors": [
    "Wenjuan Li",
    "Huiju Wang"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we study the $L^{p}$-improving property for the local maximal operators along a large class of curves of finite type in the plane with dilation set $E \\subset [1,2]$. The $L^{p}$-improving region depends on the order of finite type and the fractal dimension of $E$. In particular, various impacts of non-isotropic dilations are also deeply considered.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-05-10T01:47:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25"
    ],
    "keywords": [
      "finite type",
      "improving bounds",
      "local maximal operators",
      "dilation set",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}