{
  "id": "1105.5930",
  "version": "v2",
  "published": "2011-05-30T10:21:43.000Z",
  "updated": "2011-05-31T08:05:37.000Z",
  "title": "Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities with angular integrability",
  "authors": [
    "Piero D'Ancona",
    "Renato Luca'"
  ],
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We prove an extension of the Stein-Weiss weighted estimates for fractional integrals, in the context of $L^{p}$ spaces with different integrability properties in the radial and the angular direction. In this way, the classical estimates can be unified with their improved radial versions. A number of consequences are obtained: in particular we deduce precised versions of weighted Sobolev embeddings, Caffarelli-Kohn-Nirenberg estimates, and Strichartz estimates for the wave equation, which extend the radial improvements to the case of arbitrary functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-05-31T08:05:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "caffarelli-kohn-nirenberg inequalities",
      "angular integrability",
      "radial improvements",
      "wave equation",
      "fractional integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.5930D"
    }
  }
}