The Boundedness Of Several Types Of Operators On Weighted Morrey Spaces

With the development of the theory of function space, weighting function space moreand more attention from scholars. The aim of this paper primarily consider some classicaloperators on weighted Morrey spaces, More precisely, we mainly study the boundedness of thestrongly singular Calderón–Zygmund Operators, θ(t) typeoscillation singular integraloperator and two kinds multilinear singular integral operators on weighted Morrey spaces. Thiswhole text is divided into five chapters.Chapter1Describes the main types of background knowledge singular integral operatorsand weighted Morrey spaces, current research and the work done in this articleChapter2we discuss the boundedness of strongly singular Calderón–Zygmund Operatorsand their commutators on weighted Morrey spaces.Chapter3we prove the boundedness of θ(t) typeoscillation singular integral operatorsand their commutators on weighted Morrey spaces.Chapter4we show the boundedness of multilinear Calderón-Zymund operators and type multilinear singular integral operators on weighted Morrey spaces.Chapter5We sum up objectively the theory in this paper, we give some opinions onweighted Morrey spaces in the future.