{
  "id": "2107.03314",
  "version": "v1",
  "published": "2021-07-07T15:50:10.000Z",
  "updated": "2021-07-07T15:50:10.000Z",
  "title": "Bump conditions and two-weight inequalities for commutators of fractional integrals",
  "authors": [
    "Yongming Wen",
    "Huoxiong Wu"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "This paper gives new two-weight bump conditions for the sparse operators related to iterated commutators of fractional integrals. As applications, the two-weight bounds for iterated commutators of fractional integrals under more general bump conditions are obtained. Meanwhile, the necessity of two-weight bump conditions as well as the converse of Bloom type estimates for iterated commutators of fractional integrals are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-07T15:50:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25",
      "42B35",
      "47B47"
    ],
    "keywords": [
      "fractional integrals",
      "two-weight inequalities",
      "two-weight bump conditions",
      "iterated commutators",
      "general bump conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}