Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group

In this paper, we will obtain the new results of the strong and weak Spanne-Guliyev, Adams-Guliyev and Adams-Gunawan type boundedness characterization of the fractional maximal operator Mα in generalized Morrey spaces, respectively. Moreover, we will give a characterization for the boundedness of the fractional maximal commutator operator Mb,α in generalized Morrey spaces.