{
  "id": "1401.2061",
  "version": "v1",
  "published": "2014-01-09T16:35:28.000Z",
  "updated": "2014-01-09T16:35:28.000Z",
  "title": "Calderón-Zygmund operators and commutators in spaces of homogeneous type: weighted inequalities",
  "authors": [
    "Theresa C. Anderson",
    "Wendolín Damián"
  ],
  "comment": "30 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "The recent proof of the sharp weighted bound for Calder\\'on-Zygmund operators has led to much investigation in sharp mixed bounds for operators and commutators, that is, a sharp weighted bound that is a product of at least two different $A_p$ weight constants. The reason why these are sought after is that the product will be strictly smaller than the original one-constant bound. We prove a variety of these bounds in spaces of homogeneous type, using the new techniques of Lerner, for both operators and commutators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-09T16:35:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homogeneous type",
      "calderón-zygmund operators",
      "weighted inequalities",
      "commutators",
      "sharp weighted bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.2061A"
    }
  }
}