{
  "id": "2101.12082",
  "version": "v1",
  "published": "2021-01-28T15:53:49.000Z",
  "updated": "2021-01-28T15:53:49.000Z",
  "title": "Two Matrix Weighted Inequalities for Commutators with Fractional Integral Operators",
  "authors": [
    "Roy Cardenas",
    "Joshua Isralowitz"
  ],
  "comment": "18 pages, no figures, submitted",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper we prove two matrix weighted norm inequalities for the commutator of a fractional integral operator and multiplication by a matrix symbol. More precisely, we extend the recent results of the second author, Pott, and Treil on two matrix weighted norm inequalities for commutators of Calderon-Zygmund operators and multiplication by a matrix symbol to the fractional integral operator setting. In particular, we completely extend the fractional Bloom theory of Holmes, Rahm, and Spencer to the two matrix weighted setting with a matrix",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-28T15:53:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20"
    ],
    "keywords": [
      "fractional integral operator",
      "matrix weighted inequalities",
      "matrix weighted norm inequalities",
      "commutator",
      "matrix symbol"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}