{
  "id": "2311.16606",
  "version": "v1",
  "published": "2023-11-28T08:51:25.000Z",
  "updated": "2023-11-28T08:51:25.000Z",
  "title": "A note on extreme points of the unit of Hardy-Lorentz spaces",
  "authors": [
    "Javier Carrillo-Alanís",
    "Guillermo P. Curbera"
  ],
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We show that inner functions are extreme points of the unit ball of the Hardy-Lorentz space $H(\\Lambda(\\varphi))$, for $\\Lambda(\\varphi)$ a Lorentz space with $\\varphi$ strictly increasing and strictly concave.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-28T08:51:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "30H10",
      "30J05"
    ],
    "keywords": [
      "extreme points",
      "hardy-lorentz space",
      "unit ball",
      "inner functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}