{
  "id": "math/9408210",
  "version": "v1",
  "published": "1994-08-31T00:00:00.000Z",
  "updated": "1994-08-31T00:00:00.000Z",
  "title": "Fractional integration for Laguerre expansions",
  "authors": [
    "George Gasper Jr",
    "Krzysztof Stempak",
    "Walter Trebels"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "The aim of this note is to provide a fractional integration theorem in the framework of Laguerre expansions. The method of proof consists of establishing an asymptotic estimate for the involved kernel and then applying a method of Hedberg \\cite{pro}. We combine this result with sufficient $(p,p)$ multiplier criteria of Stempak and Trebels \\cite{ST}. The resulting sufficient $(p,q)$ multiplier criteria are comparable with necessary ones of Gasper and Trebels \\cite{laguerre}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-08-31T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "laguerre expansions",
      "multiplier criteria",
      "fractional integration theorem",
      "asymptotic estimate",
      "sufficient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1994math......8210G"
    }
  }
}