{
  "id": "1509.01210",
  "version": "v1",
  "published": "2015-09-03T19:00:59.000Z",
  "updated": "2015-09-03T19:00:59.000Z",
  "title": "Pitt inequalities and restriction theorems for the Fourier transform",
  "authors": [
    "Laura De Carli",
    "Dmitriy Gorbachev",
    "Sergey Tikhonov"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using weighted restriction inequalities for the Fourier transform on the sphere. We also prove new Riemann-Lebesgue estimates and versions of the uncertainty principle for the Fourier transform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-03T19:00:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier transform",
      "pitt inequalities",
      "restriction theorems",
      "non-radial weights",
      "weighted restriction inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}