{
  "id": "1401.2279",
  "version": "v2",
  "published": "2014-01-10T10:33:59.000Z",
  "updated": "2019-08-20T03:27:21.000Z",
  "title": "Sub-Gaussian heat kernel estimates and quasi Riesz transforms for $1\\leq p\\leq 2$",
  "authors": [
    "Li Chen"
  ],
  "comment": "Final version, published in Publ. Mat., 2015",
  "doi": "10.5565/PUBLMAT_59215_03",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "On a complete non-compact Riemannian manifold $M$, we prove that a so-called quasi Riesz transform is always $L^p$ bounded for $1<p\\leq 2$. If $M$ satisfies the doubling volume property and the sub-Gaussian heat kernel estimate, we prove that the quasi Riesz transform is also of weak type $(1,1)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-10T10:33:59.000Z",
      "comment": "Submitted",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2019-08-20T03:27:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sub-gaussian heat kernel estimate",
      "quasi riesz transform",
      "complete non-compact riemannian manifold",
      "weak type",
      "doubling volume property"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.2279C"
    }
  }
}