{
  "id": "1107.0184",
  "version": "v2",
  "published": "2011-07-01T10:25:18.000Z",
  "updated": "2011-10-04T12:47:59.000Z",
  "title": "Regularity properties of Schrödinger operators",
  "authors": [
    "Tao Ma",
    "P. R. Stinga",
    "J. L. Torrea",
    "Chao Zhang"
  ],
  "comment": "20 pages. To appear in Journal of Mathematical Analysis and Applications",
  "categories": [
    "math.AP",
    "math.CA",
    "math.FA"
  ],
  "abstract": "Let L be a Schr\\\"odinger operator of the form L=-\\Delta+V, where the nonnegative potential V satisfies a reverse H\\\"older inequality. Using the method of L-harmonic extensions we study regularity estimates at the scale of adapted H\\\"older spaces. We give a pointwise description of L-H\\\"older spaces and provide some characterizations in terms of the growth of fractional derivatives of any order and Carleson measures. Applications to fractional powers of L and multipliers of Laplace transform type developed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-04T12:47:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schrödinger operators",
      "regularity properties",
      "study regularity estimates",
      "l-harmonic extensions",
      "fractional derivatives"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.0184M"
    }
  }
}