{
  "id": "1301.6825",
  "version": "v2",
  "published": "2013-01-29T03:26:31.000Z",
  "updated": "2014-01-29T00:21:55.000Z",
  "title": "Musielak-Orlicz Campanato Spaces and Applications",
  "authors": [
    "Yiyu Liang",
    "Dachun Yang"
  ],
  "journal": "J. Math. Anal. Appl. 406 (2013), 307-322",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "Let $\\varphi: \\mathbb R^n\\times [0,\\infty)\\to[0,\\infty)$ be such that $\\varphi(x,\\cdot)$ is an Orlicz function and $\\varphi(\\cdot,t)$ is a Muckenhoupt $A_\\infty(\\mathbb R^n)$ weight uniformly in $t$. In this article, the authors introduce the Musielak-Orlicz Campanato space ${\\mathcal L}_{\\varphi,q,s}({\\mathbb R}^n)$ and, as an application, prove that some of them is the dual space of the Musielak-Orlicz Hardy space $H^{\\varphi}(\\mathbb R^n)$, which in the case when $q=1$ and $s=0$ was obtained by L. D. Ky [arXiv: 1105.0486]. The authors also establish a John-Nirenberg inequality for functions in ${\\mathcal L}_{\\varphi,1,s}({\\mathbb R}^n)$ and, as an application, the authors also obtain several equivalent characterizations of ${\\mathcal L}_{\\varphi,q,s}({\\mathbb R}^n)$, which, in return, further induce the $\\varphi$-Carleson measure characterization of ${\\mathcal L}_{\\varphi,1,s}({\\mathbb R}^n)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-29T00:21:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "42B30",
      "42B35",
      "46E30"
    ],
    "keywords": [
      "musielak-orlicz campanato space",
      "application",
      "carleson measure characterization",
      "musielak-orlicz hardy space",
      "dual space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.6825L"
    }
  }
}