{
  "id": "2007.05582",
  "version": "v1",
  "published": "2020-07-10T19:39:57.000Z",
  "updated": "2020-07-10T19:39:57.000Z",
  "title": "Mean Ergodicity of Multiplication Operators on the Bloch and Besov Spaces",
  "authors": [
    "F. Falahat",
    "Z. Kamali"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA",
    "math.DS"
  ],
  "abstract": "In this paper, the power boundedness and mean ergodicity of multiplication operators are investigated on the Bloch space $\\mathcal{B}$, the little Bloch space $\\mathcal{B }_0 $ and the Besov Space $\\mathcal{B}_p$. Let $\\mathbb{U}$ be the unit disk on the complex plane $\\mathbb{C}$ and $\\psi$ be a function on the space of holomorphic functions $H(\\mathbb{U})$, our goal is to find out when the multiplication operator $M_{ \\psi}$ is power bounded, mean ergodic and uniformly mean ergodic on $\\mathcal{B}$, $\\mathcal{B }_0 $ and $\\mathcal{B}_p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-10T19:39:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "46E15",
      "47A35"
    ],
    "keywords": [
      "multiplication operator",
      "mean ergodicity",
      "besov space",
      "little bloch space",
      "uniformly mean ergodic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}