{
  "id": "1808.04609",
  "version": "v1",
  "published": "2018-08-14T10:13:59.000Z",
  "updated": "2018-08-14T10:13:59.000Z",
  "title": "The Optimal Constant in Generalized Hardy's Inequality",
  "authors": [
    "Ying Li",
    "Yong-hua Mao"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We obtain the sharp factor of the two-sides estimates of the optimal constant in generalized Hardy's inequality with two general Borel measures on $\\mathbb{R}$, which generalizes and unifies the known continuous and discrete cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-14T10:13:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized hardys inequality",
      "optimal constant",
      "general borel measures",
      "sharp factor",
      "two-sides estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}