{
  "id": "math/0601682",
  "version": "v1",
  "published": "2006-01-27T17:29:49.000Z",
  "updated": "2006-01-27T17:29:49.000Z",
  "title": "Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of $R^n$",
  "authors": [
    "Pavel Shvartsman"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We give an intrinsic characterization of the restrictions of Sobolev, Triebel-Lizorkin and Besov spaces to regular subsets of $R^n$ via sharp maximal functions and local approximations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-01-27T17:29:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35"
    ],
    "keywords": [
      "intrinsic characterization",
      "regular subsets",
      "local approximations",
      "smooth functions",
      "sharp maximal functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1682S"
    }
  }
}