{
  "id": "1311.4092",
  "version": "v1",
  "published": "2013-11-16T20:43:23.000Z",
  "updated": "2013-11-16T20:43:23.000Z",
  "title": "Some new light on a few classical results",
  "authors": [
    "Ciprian Demeter",
    "Prabath Silva"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "The purpose of this paper is to describe a unified approach to proving vector-valued inequalities without relying on the full strength of weighted theory. Our applications include the Fefferman-Stein and Cordoba-Fefferman inequalities, as well as the vector-valued Carleson operator. Using this approach we also produce a proof of the boundedness of the classical bi-parameter multiplier operators, that does not rely on product theory. Our arguments are inspired by the vector valued restricted type interpolation used in [1].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-16T20:43:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical results",
      "vector valued restricted type interpolation",
      "classical bi-parameter multiplier operators",
      "full strength",
      "product theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.4092D"
    }
  }
}