Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups

In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional maximal operator Mα, 0 ≤ α< Q on Carnot group G on generalized weighted Morrey spaces Mp , φ(G, w) , where Q is the homogeneous dimension of G. Also we give a characterization for the Spanne type boundedness of the fractional maximal commutator operator Mb , α on generalized weighted Morrey spaces. © 2020, Springer Nature Switzerland AG.