{
  "id": "1410.1185",
  "version": "v1",
  "published": "2014-10-05T18:01:47.000Z",
  "updated": "2014-10-05T18:01:47.000Z",
  "title": "Trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents",
  "authors": [
    "Takahiro Noi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper is concerned with a boundedness of trace and extension operators for Besov spaces and Triebel-Lizorkin spaces on upper half space with variable exponents. To define trace and extension operators, we introduce a quarkonial decomposition for Besov spaces and Triebel-Lizorkin spaces with variable exponents on ${\\mathbb R}^n$. Furthermore, we study trace and extension operators for Besov spaces and Triebel-Lizorkin spaces with variable exponents on upper half spaces ${\\mathbb R}^n_+$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-05T18:01:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "41A17"
    ],
    "keywords": [
      "besov spaces",
      "triebel-lizorkin spaces",
      "extension operators",
      "variable exponents",
      "upper half space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.1185N"
    }
  }
}