{
  "id": "1810.03859",
  "version": "v1",
  "published": "2018-10-09T08:44:18.000Z",
  "updated": "2018-10-09T08:44:18.000Z",
  "title": "Hardy's Inequality for Laguerre Expansions of Hermite Type",
  "authors": [
    "Paweł Plewa"
  ],
  "comment": "15 pages",
  "doi": "10.1007/s00041-018-9642-2",
  "categories": [
    "math.CA"
  ],
  "abstract": "Hardy's inequality for Laguerre expansions of Hermite type with the index $\\al\\in(\\{-1/2\\}\\cup[1/2,\\infty))^d$ is proved in the multi-dimensional setting with the exponent $3d/4$. We also obtain the sharp analogue of Hardy's inequality with $L^1$ norm replacing $H^1$ norm at the expense of increasing the exponent by an arbitrarily small value.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-09T08:44:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C10",
      "42B30",
      "33C45"
    ],
    "keywords": [
      "hardys inequality",
      "laguerre expansions",
      "hermite type",
      "arbitrarily small value",
      "sharp analogue"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}