{
  "id": "1401.6570",
  "version": "v2",
  "published": "2014-01-25T19:05:44.000Z",
  "updated": "2017-03-17T15:04:26.000Z",
  "title": "A matrix weighted $T1$ theorem for matrix kernelled Calderon Zygmund operators - I",
  "authors": [
    "Joshua Isralowitz",
    "Hyun Kyoung Kwon",
    "Sandra Pott"
  ],
  "comment": "This paper has been withdrawn, and has been split into the following two papers: arXiv:1508.02474 and arXiv:1507.04032",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this series of two papers, we will prove a natural matrix weighted $T1$ theorem for matrix kernelled CZOs. In the current paper, we will prove matrix weighted norm inequalities for matrix symbolled paraproducts via a general matrix weighted Carleson embedding theorem. Along the way, we will also provide a stopping time proof of the identification of $L^p(W)$ as a weighted Triebel-Lizorkin space when $W$ is a matrix A${}_p$ weight.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-25T19:05:44.000Z",
      "comment": "26 pages, no figures, submitted",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2017-03-17T15:04:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "matrix kernelled calderon zygmund operators",
      "weighted carleson embedding theorem",
      "matrix weighted carleson embedding"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.6570I"
    }
  }
}