The Boundedness Of Some Operators Of Schrodinger Operator Type And Their Commutators

In this recent paper, we study the boundedness of some operators of Schrodinger operator type and their commutators. The paper is constituted with four chapters.In chapter1, we introduce the background and main results about Schrodinger operator and Marcinkiewicz integral operator and its commutator. Besides, we also simply illustrate how and why these topics come out.In chapter2, we present the boundedness of Marcinkiewicz integral of Schrodinger operator type and its commutator.In chapter3, we consider the estimates of Marcinkiewicz integral of Schrodinger operator type on morrey spaces.In chapter4, we discuss LP estimates of higher order Riesz transform related to Schrodinger type operators and their commutators.