Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups

In this paper, we obtain new results of the Spanne and Adams type boundedness characterization of the fractional maximal commutator operator M-b,M-alpha, 0 <= alpha < Q on the Carnot group G (i.e. nilpotent stratified Lie group) in generalized Morrey spaces M-p,M-phi(G), respectively, where Q is the homogeneous dimension of G.