{
  "id": "1804.01415",
  "version": "v2",
  "published": "2018-04-04T13:58:19.000Z",
  "updated": "2018-04-11T13:13:43.000Z",
  "title": "Some functional inequalities for the fractional p-sub-Laplacian",
  "authors": [
    "Aidyn Kassymov",
    "Durvudkhan Suragan"
  ],
  "comment": "a typo corrected version. 14 pages. submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the fractional Dirichlet p-sub-Laplacian in a Haar measurable set on homogeneous Lie groups. We prove fractional Sobolev and Hardy inequalities and we also present a Lyapunov-type inequality for the fractional p-sub-Laplacian. As a consequence of the Lyapunov-type inequality we show an estimate of the first eigenvalue in a quasi-ball for the Dirichlet fractional p-sub-Laplacian.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2018-04-11T13:13:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E30",
      "43A80",
      "G.1.8"
    ],
    "keywords": [
      "functional inequalities",
      "lyapunov-type inequality",
      "dirichlet fractional p-sub-laplacian",
      "fractional dirichlet p-sub-laplacian",
      "fractional sobolev"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}