{
  "id": "math/0603641",
  "version": "v1",
  "published": "2006-03-28T08:02:30.000Z",
  "updated": "2006-03-28T08:02:30.000Z",
  "title": "Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part II: Off-diagonal estimates on spaces of homogeneous type",
  "authors": [
    "Pascal Auscher",
    "José Maria Martell"
  ],
  "comment": "40 pages. Second of 4 papers. Can be read independently",
  "categories": [
    "math.CA",
    "math.AP"
  ],
  "abstract": "This is the second part of a series of four articles on weighted norm inequalities, off-diagonal estimates and elliptic operators. We consider a substitute to the notion of pointwise bounds for kernels of operators which usually is a measure of decay. This substitute is that of off-diagonal estimates expressed in terms of local and scale invariant $L^p-L^q$ estimates. We propose a definition in spaces of homogeneous type that is stable under composition. It is particularly well suited to semigroups. We study the case of semigroups generated by elliptic operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-28T08:02:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A06",
      "35J15",
      "42B20"
    ],
    "keywords": [
      "off-diagonal estimates",
      "weighted norm inequalities",
      "elliptic operators",
      "homogeneous type",
      "second part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3641A"
    }
  }
}