THE BOUNDEDNESS OF GENERALIZED WEIGHTED HARDY-CESÀRO OPERATORS ON GENERALIZED MORREY SPACES

Abstract

Let  be measurable functions and  be a parameter curve in  given by  In this paper, we study the boundedness of the weighted Hardy-Cesàro operator defined by for measurable complex-valued functions  on  on generalized Morrey spaces . We obtain some sufficient conditions on the functions  and , which ensure the boundedness of the weighted Hardy-Cesàro operator and its commutator with symbols in BMO spaces on generalized Morrey spaces .