Published January 1, 2020 | Version v1
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Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups

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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.

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