{
  "id": "1601.03172",
  "version": "v1",
  "published": "2016-01-13T09:05:09.000Z",
  "updated": "2016-01-13T09:05:09.000Z",
  "title": "On Caffarelli-Kohn-Nirenberg inequalities for block-radial functions",
  "authors": [
    "Cyril Tintarev",
    "Leszek Skrzypczak"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "The paper provides weighted Sobolev inequalities of the Caffarelli-Kohn-Nirenberg type for functions with multi-radial symmetry. Similarly to the previously studied radial case, the range of parameters in CKN inequalities can be extended, sometimes to infinity, providing a pointwise estimate similar to the classical radial estimate. Furthermore, the \"multi-radial\" weights are a stronger singularity than radial weights of the same homogeneity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-13T09:05:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "46B50",
      "46N20"
    ],
    "keywords": [
      "block-radial functions",
      "caffarelli-kohn-nirenberg inequalities",
      "caffarelli-kohn-nirenberg type",
      "multi-radial symmetry",
      "radial weights"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160103172T"
    }
  }
}