{
  "id": "2205.10372",
  "version": "v1",
  "published": "2022-05-20T15:12:03.000Z",
  "updated": "2022-05-20T15:12:03.000Z",
  "title": "Characterizations of Mixed Herz-Hardy Spaces and their Applications",
  "authors": [
    "Yichun Zhao",
    "Mingquan Wei",
    "Jiang Zhou"
  ],
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "The purpose of this paper is to introduce and investigate some basic properties of mixed homogeneous Herz-Hardy spaces $H\\dot{K}_{\\vec{p}}^{\\alpha, q}(\\mathbb{R}^n)$ and mixed non-homogeneous Herz-Hardy spaces $HK_{\\vec{p}}^{\\alpha, q}(\\mathbb{R}^n)$. Furthermore, we establish the atom and molecular decompositions for $H\\dot{K}_{\\vec{p}}^{\\alpha, q}(\\mathbb{R}^n)$ and $HK_{\\vec{p}}^{\\alpha, q}(\\mathbb{R}^n)$, by which the boundedness for a wide class of sublinear operators on mixed Herz-Hardy spaces is obtained. As a byproduct, the dual spaces of mixed homogeneous Herz-Hardy spaces are deduced.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-20T15:12:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "42B25",
      "42B20"
    ],
    "keywords": [
      "mixed herz-hardy spaces",
      "mixed homogeneous herz-hardy spaces",
      "characterizations",
      "applications",
      "mixed non-homogeneous herz-hardy spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}