{
  "id": "2506.15822",
  "version": "v1",
  "published": "2025-06-18T19:08:21.000Z",
  "updated": "2025-06-18T19:08:21.000Z",
  "title": "Dynamics for affine composition operators on weighted Bergman space of a half plane",
  "authors": [
    "Artur Blois",
    "Osmar R. Severiano"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we completely characterize the positive expansive and absolutely Ces\\`aro composition operators $C_{\\phi}f=f\\circ \\phi$ induced by affine self-maps $\\phi$ of the right half-plane $\\mathbb{C}_+$ on the weighted Bergman space $\\mathcal{A}^2_{\\alpha}(\\mathbb{C}_+)$. Furthermore, we characterize which of these operators have the positive shadowing property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-06-18T19:08:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A16",
      "47B33",
      "47D45"
    ],
    "keywords": [
      "weighted bergman space",
      "affine composition operators",
      "half plane",
      "affine self-maps",
      "right half-plane"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}