{
  "id": "1504.01596",
  "version": "v1",
  "published": "2015-04-07T13:22:33.000Z",
  "updated": "2015-04-07T13:22:33.000Z",
  "title": "$L^p$-boundedness of shift operators in metric spaces revisited",
  "authors": [
    "Olli Tapiola"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "With the help of recent adjacent dyadic constructions by Hyt\\\"onen and the author, we give a simple alternative proof of results of Lechner and Passenbrunner about the $L^p$-boundedness of shift operators acting on functions $f \\in L^p(X;E)$ where $1 < p < \\infty$, $X$ is a metric space and $E$ is a UMD space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-07T13:22:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30L99",
      "46E40"
    ],
    "keywords": [
      "metric spaces",
      "boundedness",
      "adjacent dyadic constructions",
      "umd space",
      "simple alternative proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150401596T"
    }
  }
}