{
  "id": "math/9307203",
  "version": "v1",
  "published": "1993-07-08T00:00:00.000Z",
  "updated": "1993-07-08T00:00:00.000Z",
  "title": "On weighted transplantation and multipliers for Laguerre expansions",
  "authors": [
    "Krzysztof Stempak",
    "Walter Trebels"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "Using the standard square--function method (based on the Poisson semigroup), multiplier conditions of H\\\"ormander type are derived for Laguerre expansions in $L^p$--spaces with power weights in the $A_p$-range; this result can be interpreted as an ``upper end point'' multiplier criterion which is fairly good for $p$ near $1$ or near $\\infty $. A weighted generalization of Kanjin's \\cite{kan} transplantation theorem allows to obtain a ``lower end point'' multiplier criterion whence by interpolation nearly ``optimal'' multiplier criteria (in dependance of $p$, the order of the Laguerre polynomial, the weight).",
  "revisions": [
    {
      "version": "v1",
      "updated": "1993-07-08T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "laguerre expansions",
      "weighted transplantation",
      "multiplier criterion",
      "upper end point",
      "standard square-function method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1993math......7203S"
    }
  }
}