{
  "id": "1305.0415",
  "version": "v1",
  "published": "2013-05-02T12:13:54.000Z",
  "updated": "2013-05-02T12:13:54.000Z",
  "title": "A new quantitative two weight theorem for the Hardy-Littlewood maximal operator",
  "authors": [
    "Carlos Pérez",
    "Ezequiel Rela"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "A quantitative two weight theorem for the Hardy-Littlewood maximal operator is proved improving the known ones. As a consequence a new proof of the main results in [HP] and in [HPR12] is obtained which avoids the use of the sharp quantitative reverse Holder inequality for $A_{\\infty}$ proved in those papers. Our results are valid within the context of spaces of homogeneous type without imposing the non-empty annuli condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-02T12:13:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "43A85"
    ],
    "keywords": [
      "hardy-littlewood maximal operator",
      "weight theorem",
      "sharp quantitative reverse holder inequality",
      "non-empty annuli condition",
      "main results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.0415P"
    }
  }
}