{
  "id": "1606.03340",
  "version": "v1",
  "published": "2016-06-10T14:23:53.000Z",
  "updated": "2016-06-10T14:23:53.000Z",
  "title": "Sparse domination on non-homogeneous spaces with an application to $A_p$ weights",
  "authors": [
    "Alexander Volberg",
    "Pavel Zorin-Kranich"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CA",
    "math.AP"
  ],
  "abstract": "We extend Lerner's recent approach to sparse domination of Calder\\'on--Zygmund operators to upper doubling (but not necessarily doubling), geometrically doubling metric measure spaces. Our domination theorem is different from the one obtained recently by Conde-Alonso and Parcet and yields a weighted estimate with the sharp power $\\max(1,1/(p-1))$ of the $A_p$ characteristic of the weight.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-10T14:23:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "sparse domination",
      "non-homogeneous spaces",
      "application",
      "geometrically doubling metric measure spaces",
      "sharp power"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}