• Title of article

    Anisotropic fractional maximal commutators with BMO functions on anisotropic Morrey-type spaces

  • Author/Authors

    Akbulut, Ali Ahi Evran University - Department of Mathematics, Kirsehir, Turke , Burenkov, Victor I. S.M. Nikolskii Institute of Mathematics at RUDN University, Moscow, Russi , Guliyev, Vagif S. Institute of Applied Mathematics - Baku State University, Baku, Azerbaija

  • Pages
    20
  • From page
    13
  • To page
    32
  • Abstract
    In the present paper, we shall give necessary and sufficient conditions for the boundedness of anisotropic fractional maximal commutator Md b,α on anisotropic local Morrey-type spaces, when b belongs to BMO spaces, by which some new characterizations for BMO spaces is obtained. As an application of this results we consider the boundedness of commutators of anisotropic fractional maximal operator [b, Md α] on anisotropic global Morrey-type spaces.
  • Keywords
    Anisotropic local and global Morrey-type spaces , anisotropic fractional maximal function , commutator , BMO
  • Journal title
    Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Serial Year
    2020
  • Record number

    2612072