{
  "id": "1505.04042",
  "version": "v1",
  "published": "2015-05-15T12:04:24.000Z",
  "updated": "2015-05-15T12:04:24.000Z",
  "title": "Beyond local maximal operators",
  "authors": [
    "Hannes Luiro",
    "Antti V. Vähäkangas"
  ],
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We obtain (essentially sharp) boundedness results for certain generalized local maximal operators between fractional weighted Sobolev spaces and their modifications. Concrete boundedness results between well known fractional Sobolev spaces are derived as consequences of our main result. We also apply our boundedness results by studying both generalized neighbourhood capacities and the Lebesgue differentiation of fractional weighted Sobolev functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-15T12:04:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "46E35",
      "47H99"
    ],
    "keywords": [
      "fractional weighted sobolev spaces",
      "fractional sobolev spaces",
      "fractional weighted sobolev functions",
      "generalized local maximal operators",
      "concrete boundedness results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150504042L"
    }
  }
}