{
  "id": "1109.0304",
  "version": "v5",
  "published": "2011-09-01T21:03:13.000Z",
  "updated": "2017-03-17T15:12:03.000Z",
  "title": "Boundedness of dyadic paraproducts on matrix weighted $L^p$",
  "authors": [
    "Joshua Isralowitz"
  ],
  "comment": "This paper has been withdrawn, and is vastly generalized by https://arxiv.org/abs/1507.04032",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "In this paper, we show that dyadic paraproducts $\\pi_b$ with $b$ in dyadic BMO are bounded on matrix weighted $L^p(W)$ if $W$ is a matrix $\\text{A}_p$ weight.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-09-07T15:09:19.000Z",
      "comment": "16 pages, no figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v5",
      "updated": "2017-03-17T15:12:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B15",
      "42C40",
      "42B25"
    ],
    "keywords": [
      "dyadic paraproducts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.0304I"
    }
  }
}