{
  "id": "1605.07701",
  "version": "v1",
  "published": "2016-05-25T01:38:29.000Z",
  "updated": "2016-05-25T01:38:29.000Z",
  "title": "Maximal function characterizations for Hardy spaces associated to nonnegative self-adjoint operators on spaces of homogeneous type",
  "authors": [
    "Liang Song",
    "Lixin Yan"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "Let $X$ be a metric measure space with a doubling measure and $L$ be a nonnegative self-adjoint operator acting on $L^2(X)$. Assume that $L$ generates an analytic semigroup $e^{-tL}$ whose kernels $p_t(x,y)$ satisfy Gaussian upper bounds but without any assumptions on the regularity of space variables $x$ and $y$. In this article we continue a study in \\cite{SY} to give an atomic decomposition for the Hardy spaces $ H^p_{L,max}(X)$ in terms of the nontangential maximal function associated with the heat semigroup of $L$, and hence we establish characterizations of Hardy spaces associated to an operator $L$, via an atomic decomposition or the nontangential maximal function. We also obtain an equivalence of $ H^p_{L, max}(X)$ in terms of the radial maximal function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-25T01:38:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B30",
      "42B35",
      "47B38"
    ],
    "keywords": [
      "nonnegative self-adjoint operator",
      "hardy spaces",
      "maximal function characterizations",
      "homogeneous type",
      "nontangential maximal function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}