The boundedness of the B_n maximal operators on B_n Orlicz spaces

In this thesis, information about Orlicz spaces and the fundamental operators of harmonic analysis are given and the boundedness of Bn-maximal operators are investigated. In the first chapter of this study consisting of four chapters, the aim of the thesis study was given by giving information about the mathematicians who have studies on the subject in the literature. In the second chapter, some basic concepts, notations and theorems which are the basis of the thesis and which are related to the topics discussed in other chapter are mentioned. In the third chapter, firstly the definition and properties of the Young functions which form the basis of Orlicz spaces will be given and then the Orlicz spaces will be examined in detail. In the last chapter, the results of the boundedness of Bn maximal operators in Orlicz spaces, which are important integral operators of harmonic analysis, are given.