Boundedness of Marcinkiewicz integral operators associated with Schrödinger operators on Morrey spaces

In this study, the boundedness of Marcinkiewicz integral operators associated with Schrödinger operators on Morrey spaces are investigated and many new results are obtained. This study is arranged in five chapters, in "The Introduction" chapter which is first part, informations are 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 Marcinkiewicz integral operators associated with Schrödinger operators its commutators on generalized Morrey spaces is proved. In the fourth chapter, the boundedness of Marcinkiewicz integral operators with rough kernel associated with Schrödinger operators and its commutators on vanishing generalized Morrey spaces is proved. In the fifth chapter which is last part of this study, the boundedness of Marcinkiewicz integral operators with rough kernel associated with Schrödinger operators and its commutators on generalized weighted Morrey spaces introduced by Guliyev is proved.