{
  "id": "2206.10863",
  "version": "v1",
  "published": "2022-06-22T06:12:05.000Z",
  "updated": "2022-06-22T06:12:05.000Z",
  "title": "Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space",
  "authors": [
    "Debdip Ganguly",
    "Prasun Roychowdhury"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove an improved version of Poincar\\'e-Hardy inequality in suitable subspaces of the Sobolev space on the hyperbolic space via Bessel pairs. As a consequence, we obtain a new Hardy type inequality with an improved constant (than the usual Hardy constant). Furthermore, we derive a new kind of improved Caffarelli-Kohn-Nirenberg inequality on the hyperbolic space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-22T06:12:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sobolev space",
      "poincaré-hardy inequalities",
      "hyperbolic space",
      "usual hardy constant",
      "hardy type inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}