Boundedness of integral operators of harmonic analysis on generalized Orlicz-Morrey spaces

In this study, the boundedness of integral operators of harmonic analysis on generalized Orlicz-Morrey spaces is investigated and many new results are obtained. This study is arranged in five chapters, in the first chapter, information is given about many mathematicians studying in this field in the literature and also about purpose of this study. In the second chapter, some basic definitions and general informations about basic concepts, spaces and operators related to this study are given. In the third chapter, the boundedness of maximal, singular and potential operators on Orlicz spaces is investigated with all details. In the fourth chapter, the definition of generalized Orlicz-Morrey spaces and the relation of these spaces with Orlicz, Morrey and generalized Morrey spaces is given. In the fifth chapter which is last part of this study, the results about the boundedness of maximal, singular and potential operators on generalized Orlicz-Morrey spaces that are obtained by ``Guliyev's method'' is given.