{
  "id": "2303.13990",
  "version": "v1",
  "published": "2023-03-24T13:27:00.000Z",
  "updated": "2023-03-24T13:27:00.000Z",
  "title": "Rearrangement-invariant hulls of weighted Lebesgue spaces",
  "authors": [
    "Martin Křepela",
    "Zdeněk Mihula",
    "Javier Soria"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We characterize the rearrangement-invariant hull, with respect to a given measure $\\mu$, of weighted Lebesgue spaces. The solution leads us to first consider when this space is contained in the sum of $(L^1 + L^\\infty)(R, \\mu)$ and the final condition is given in terms of embeddings for weighted Lorentz spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-24T13:27:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "28A25",
      "26D15"
    ],
    "keywords": [
      "weighted lebesgue spaces",
      "rearrangement-invariant hull",
      "final condition",
      "weighted lorentz spaces",
      "embeddings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}