Boundedness of some clasical operators in musielak-orlicz-morrey spaces

In this thesis, based on Orlicz-Morrey spaces of the third type, a new class of function spaces - Musielak-Orlicz-Morrey spaces - has been defined by unifying Musielak-Orlicz spaces with generalized Morrey spaces. Within the framework of this structure, the boundedness behavior of the classical operators of harmonic analysis such as maximal operator, fractional maximal operator and fractional integral operator on these spaces have been systematically investigated. Furthermore, by reducing the obtained general results to special cases of Musielak-Orlicz-Morrey spaces, original findings have been presented, thereby providing new contributions to the field in this aspect as well.