{
  "id": "1111.4269",
  "version": "v3",
  "published": "2011-11-18T03:43:04.000Z",
  "updated": "2012-12-26T03:12:56.000Z",
  "title": "Boundedness of singular integral operators with variable kernels on weighted weak Hardy spaces",
  "authors": [
    "Hua Wang"
  ],
  "comment": "12 pages. arXiv admin note: substantial text overlap with arXiv:1207.1242, arXiv:1111.5075, arXiv:1010.0862",
  "categories": [
    "math.CA"
  ],
  "abstract": "Let $T_\\Omega$ be the singular integral operator with variable kernel $\\Omega(x,z)$. In this paper, by using the atomic decomposition theory of weighted weak Hardy spaces, we will obtain the boundedness properties of $T_\\Omega$ on these spaces, under some Dini type conditions imposed on the variable kernel $\\Omega(x,z)$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-12-26T03:12:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B30"
    ],
    "keywords": [
      "weighted weak hardy spaces",
      "singular integral operator",
      "variable kernel",
      "atomic decomposition theory",
      "dini type conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.4269W"
    }
  }
}