{
  "id": "1903.06208",
  "version": "v1",
  "published": "2019-03-14T18:29:39.000Z",
  "updated": "2019-03-14T18:29:39.000Z",
  "title": "Weighted estimates for maximal functions associated to skeletons",
  "authors": [
    "Andrea Olivo",
    "Ezequiel Rela"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We provide quantitative weighted estimates for the $L^p(w)$ norm of a maximal operator associated to cube skeletons in $\\mathbb{R}^n$. The method of proof differs from the usual in the area of weighted inequalities since there are no covering arguments suitable for the geometry of skeletons. We use instead a combinatorial strategy that allows to obtain, after a linearization and discretization, $L^p$ bounds for the maximal operator from an estimate related to intersections between skeletons and $k$-planes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-14T18:29:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximal functions",
      "maximal operator",
      "cube skeletons",
      "proof differs",
      "combinatorial strategy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}