Fractional maximal operator and its commutators in generalized morrey spaces on Heisenberg group

Abstract

In this paper we study the boundedness of the fractional maximal operator M ? on Heisenberg group H n in the generalized Morrey spaces M p,? (H n ). We shall give a characterization for the strong and weak type Spanne and Adams type boundedness of M ? on the generalized Morrey spaces, respectively. Also we give a characterization for the Spanne and Adams type boundedness of fractional maximal commutator operator M b,? on the generalized Morrey spaces. © 2018, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.