{
  "id": "1702.08190",
  "version": "v1",
  "published": "2017-02-27T08:50:34.000Z",
  "updated": "2017-02-27T08:50:34.000Z",
  "title": "Multiplier conditions for Boundedness into Hardy spaces",
  "authors": [
    "Loukas Grafakos",
    "Shohei Nakamura",
    "Hanh Van Nguyen",
    "Yoshihiro Sawano"
  ],
  "comment": "13 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In the present work, we find useful and explicit necessary and sufficient conditions for linear and multilinear multiplier operators of Coifman-Meyer type, finite sum of products of Calder\\'on-Zygmund operators, and also of intermediate types to be bounded from a product of Lebesgue or Hardy spaces into a Hardy space. These conditions state that the symbols of the multipliers $\\sigma(\\xi_1,\\dots , \\xi_m)$ and their derivatives vanish on the hyperplane $\\xi_1+\\cdots+\\xi_m=0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-27T08:50:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B15",
      "42B30"
    ],
    "keywords": [
      "hardy space",
      "multiplier conditions",
      "boundedness",
      "multilinear multiplier operators",
      "conditions state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}