{
  "id": "1211.0672",
  "version": "v6",
  "published": "2012-11-04T10:55:21.000Z",
  "updated": "2014-10-07T11:24:12.000Z",
  "title": "A characterization of compactness for singular integrals",
  "authors": [
    "Karl-Mikael Perfekt",
    "Sandra Pott",
    "Paco Villarroya"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove a T(1) Theorem to completely characterize compactness of Calderon-Zygmund operators. The result provides sufficient and necessary conditions for the compactness of singular integral operators acting on L^p(R).",
  "revisions": [
    {
      "version": "v5",
      "updated": "2014-05-01T19:01:05.000Z",
      "abstract": "We prove a T(1)-type theorem which completely characterizes the compactness of Calderon-Zygmund operators. The result provides sufficient and necessary conditions for the compactness of singular integral operators acting on L^p(R)$, and also on the endpoint case. The generality of the result is illustrated by proving the compactness of certain perturbations of the Cauchy integral on curves with normal derivatives satisfying a VMO-condition.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v6",
      "updated": "2014-10-07T11:24:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compactness",
      "characterization",
      "singular integral operators acting",
      "necessary conditions",
      "normal derivatives"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.0672V"
    }
  }
}