Contents V.17 N.1 2026

  • COMMUTATOR OF THE MAXIMAL FUNCTION IN TOTAL MORREY SPACES IN THE DUNKL SETTING
    Y.Y. MAMMADOV, A. AKBULUT, V.S. GULIYEV, M.N. OMAROVA (pp. 79-93)

    • Abstract.

    In the paper, with the setting Rd we study the commutators of the maximal operator associated with the Dunkl operator [b, Mk] in the total Dk-Morrey spaces Lp,λ,µ(Rd, dµk). We give necessary and sufficient conditions for the boundedness of the operator [b, Mk] on total Dk-Morrey spaces Lp,λ,µ(Rd, dµk) when b belongs to BMO(Rd, dµk) spaces, whereby some new characterizations for certain subclasses of BMO(Rd, dµk) spaces are obtained.

    Keywords:

    maximal operator, total Dk-Morrey space, Dunkl operator, commutator, BMO space.

    Contact Details

    Telephone:
    Email: twms.aliev@gmail.com
    Website: www.twmsj.az

    Z.Khalilov str., 23, AZ 1148,
    Baku
    AZERBAIJAN