{
  "id": "1310.4312",
  "version": "v4",
  "published": "2013-10-16T09:56:28.000Z",
  "updated": "2014-09-24T07:09:32.000Z",
  "title": "p-Summing Multiplication Operators, dyadic Hardy Spaces and atomic Decomposition",
  "authors": [
    "Paul F. X. Müller",
    "Johanna Penteker"
  ],
  "comment": "23 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We constructively determine the Pietsch measure of the 2-summing multiplication operator \\[\\mathcal{M}_u:\\ell^{\\infty} \\rightarrow H^p, \\quad (\\varphi_I) \\mapsto \\sum \\varphi_Ix_Ih_I. \\] Our construction of the Pietsch measure for the multiplication operator $\\mathcal{M}_u$ involves the Haar coefficients of $u$ and its atomic decomposition.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-04-28T13:34:01.000Z",
      "title": "P-Summing Multiplication Operators, dyadic Hardy Spaces and atomic Decomposition",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2014-09-24T07:09:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B30",
      "46B25",
      "46B09",
      "46B42",
      "46E40",
      "47B10",
      "60G42"
    ],
    "keywords": [
      "dyadic hardy spaces",
      "p-summing multiplication operators",
      "atomic decomposition",
      "pietsch measure",
      "haar coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.4312M"
    }
  }
}