{
  "id": "1903.11639",
  "version": "v1",
  "published": "2019-03-27T18:35:57.000Z",
  "updated": "2019-03-27T18:35:57.000Z",
  "title": "On BMO and Carleson measures on Riemannian manifolds",
  "authors": [
    "Denis Brazke",
    "Armin Schikorra",
    "Yannick Sire"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "Let $\\mathcal{M}$ be a Riemannian manifold with a metric such that the manifold is Ahlfors-regular and the Ricci curvature is bounded from below. We also assume a bound on the gradient of the heat kernel. We characterize BMO-functions $u: \\mathcal{M} \\to \\mathbb{R}$ by a Carleson measure condition of their $\\sigma$-harmonic extension $U: \\mathcal{M} \\times (0,\\infty) \\to \\mathbb{R}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-27T18:35:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemannian manifold",
      "carleson measure condition",
      "ricci curvature",
      "harmonic extension",
      "heat kernel"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}