• DocumentCode
    3111973
  • Title

    Maximal operator of dyadic derivative on Vilenkin Group

  • Author

    Zhang, Xueying ; Zhang, Chuanzhou

  • Author_Institution
    Coll. of Sci., Wuhan Univ. of Sci. & Technol., Wuhan, China
  • fYear
    2011
  • fDate
    26-28 March 2011
  • Firstpage
    39
  • Lastpage
    41
  • Abstract
    In [1], the boundeness of one dimensional maximal operator of dyadic derivative is discussed. Unfortunately, the proof is uncorrect. In this paper, we consider the maximal operator of dyadic derivative on Vilenin group. With the help of counter-example we prove that the maximal operator is not bounded from the Hardy space Hq to the Hardy space Hq for 0 <; q ≤ 1.
  • Keywords
    differentiation; Hardy space; Vilenin group; Vilenkin group; dyadic derivative; one dimensional maximal operator; Electronic mail; Fourier series; Information science; Kernel; Laboratories; Manganese; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Technology (ICIST), 2011 International Conference on
  • Conference_Location
    Nanjing
  • Print_ISBN
    978-1-4244-9440-8
  • Type

    conf

  • DOI
    10.1109/ICIST.2011.5765206
  • Filename
    5765206
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3111973