{
  "id": "1707.09513",
  "version": "v1",
  "published": "2017-07-29T13:24:03.000Z",
  "updated": "2017-07-29T13:24:03.000Z",
  "title": "Two weight commutators for Beurling--Ahlfors operator",
  "authors": [
    "Xuan Thinh Duong",
    "Ji Li",
    "Brett D. Wick"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We establish the equivalent characterisation of the weighted BMO space on the complex plane $\\mathbb{C}$ via the two weight commutator of the Beurling--Ahlfors operator with a BMO function. Our method of proofs relies on the explicit kernel of the Beurling--Ahlfors operator and the properties of Muckenhoupt weight class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-29T13:24:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "beurling-ahlfors operator",
      "weight commutator",
      "muckenhoupt weight class",
      "bmo function",
      "complex plane"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}