{
  "id": "2405.08358",
  "version": "v1",
  "published": "2024-05-14T06:55:14.000Z",
  "updated": "2024-05-14T06:55:14.000Z",
  "title": "Carleson measures on locally finite trees",
  "authors": [
    "Alessandro Ottazzi",
    "Federico Santagati"
  ],
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We provide a characterization of Carleson measures on locally finite trees. This characterization establishes the connection between Carleson measures and the boundedness of a suitable Poisson integral between $L^p$-spaces. Additionally, when the tree has bounded degree, we investigate the relationship between Carleson measures and BMO functions defined on the boundary of the tree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-14T06:55:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C05",
      "05C21",
      "31C05",
      "43A99"
    ],
    "keywords": [
      "locally finite trees",
      "carleson measures",
      "characterization establishes",
      "bmo functions",
      "suitable poisson integral"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}