{
  "id": "2207.08440",
  "version": "v1",
  "published": "2022-07-18T08:48:27.000Z",
  "updated": "2022-07-18T08:48:27.000Z",
  "title": "Sharp convergence for sequences of Schrödinger means and related generalizations",
  "authors": [
    "Wenjuan Li",
    "Huiju Wang",
    "Dunyan Yan"
  ],
  "categories": [
    "math.CA",
    "math.AP"
  ],
  "abstract": "For decreasing sequences $\\{t_{n}\\}_{n=1}^{\\infty}$ converging to zero, we obtain the almost everywhere convergence results for sequences of Schr\\\"{o}dinger means $e^{it_{n}\\Delta}f$, where $f \\in H^{s}(\\mathbb{R}^{N}), N\\geq 2$. The convergence results are sharp up to the endpoints, and the method can also be applied to get the convergence results for the fractional Schr\\\"{o}dinger means and nonelliptic Schr\\\"{o}dinger means.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-18T08:48:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "42B37"
    ],
    "keywords": [
      "schrödinger means",
      "sharp convergence",
      "related generalizations",
      "convergence results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}