{
  "id": "2305.08180",
  "version": "v1",
  "published": "2023-05-14T15:10:26.000Z",
  "updated": "2023-05-14T15:10:26.000Z",
  "title": "Improved Stein inequalities for the Fourier transform",
  "authors": [
    "Erlan D. Nursultanov",
    "Durvudkhan Suragan"
  ],
  "comment": "13 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we present a refined version of the (classical) Stein inequality for the Fourier transform, elevating it to a new level of accuracy. Furthermore, we establish extended analogues of a more precise version of the Stein inequality for the Fourier transform, broadening its applicability from the range $1<p<2$ to $2\\leq p<\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-14T15:10:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier transform",
      "stein inequality",
      "precise version",
      "refined version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}