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-alpha on Heisenberg group H-n in the generalized Morrey spaces M-p,(phi)(H-n). We shall give a characterization for the strong and weak type Spanne and Adams type boundedness of M-alpha 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,alpha )on the generalized Morrey spaces.