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 (Formula presented.), (Formula presented.) on the Carnot group (Formula presented.) (i.e. nilpotent stratified Lie group) in generalized Morrey spaces (Formula presented.) respectively, where Q is the homogeneous dimension of (Formula presented.). © 2020 Informa UK Limited, trading as Taylor & Francis Group.