Boundedness of commutators of generalized fractional integral operators on Orlicz spaces

This thesis consists of 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 theorems related to Young functions and Orlicz spaces are given. In the third chapter, the results obtained about the boundedness of generalized fractional maximal operator in Orlicz spaces are presented. In the fourth chapter, pointwise and norm estimates by sharp maximal operator are investigated. In the fifth chapter which is last part of this study, necessary and the sufficient condition for the boundedness of commutators of generalized fractional integral operator with symbol functions belong to Campanato spaces on Orlicz spaces is investigated.