{
  "id": "math/0001050",
  "version": "v1",
  "published": "2000-01-09T23:12:36.000Z",
  "updated": "2000-01-09T23:12:36.000Z",
  "title": "Endpoint multiplier theorems of Marcinkiewicz type",
  "authors": [
    "Terence Tao",
    "Jim Wright"
  ],
  "comment": "28 pages, no figures, submitted to Revista Mat. Iber",
  "categories": [
    "math.CA"
  ],
  "abstract": "We establish sharp (H^1, L^{1,q}) and local (L \\log^r L, L^{1,q}) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H^1 to L^{1,\\infty} and L \\log^{1/2} L to L^{1,\\infty}, and that these estimates are sharp.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-01-09T23:12:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B15"
    ],
    "keywords": [
      "endpoint multiplier theorems",
      "marcinkiewicz type",
      "marcinkiewicz multiplier theorem map",
      "rough one-dimensional multipliers",
      "mapping properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......1050T"
    }
  }
}