{
  "id": "1404.5376",
  "version": "v1",
  "published": "2014-04-22T04:24:46.000Z",
  "updated": "2014-04-22T04:24:46.000Z",
  "title": "On subordination of linear operators on the Lebesgue spaces over $\\mathbb R^d$",
  "authors": [
    "Roald M. Trigub"
  ],
  "comment": "5 pages, the paper is in Russian with English abstract",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this note a general approach is suggested for comparison of operators. This is done by means of the Fourier transform of a measure. This approach is applied to comparison of approximation properties of various summability methods of the Fourier integrals (I) and to differential operators with constant coefficients (II).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-22T04:24:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B10",
      "42B15",
      "42B08"
    ],
    "keywords": [
      "lebesgue spaces",
      "linear operators",
      "subordination",
      "constant coefficients",
      "fourier transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "ru",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.5376T"
    }
  }
}