{
  "id": "0810.2132",
  "version": "v1",
  "published": "2008-10-12T22:17:16.000Z",
  "updated": "2008-10-12T22:17:16.000Z",
  "title": "Summability of multilinear mappings: Littlewood, Orlicz and beyond",
  "authors": [
    "Oscar Blasco",
    "Geraldo Botelho",
    "Daniel Pellegrino",
    "Pilar Rueda"
  ],
  "comment": "21 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we prove a plenty of new results concerning summabililty properties of multilinear mappings between Banach spaces, such as an extension of Littlewood's 4/3 Theorem. Among other features, it is shown that every continuous n-linear form on the disc algebra or the Hardy space is (1;2,...,2)-summing, the role of the Littlewood-Orlicz property in the theory is established and the interplay with almost summing multilinear mappings is explored.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-12T22:17:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46G25",
      "47B10"
    ],
    "keywords": [
      "summability",
      "results concerning summabililty properties",
      "littlewood-orlicz property",
      "summing multilinear mappings",
      "hardy space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.2132B"
    }
  }
}