The Boundedness Of Calderon-Zygmund Type Operator And Commutators On Morrey Spaces

This paper mainly discusses the estimates for Calderón-Zygmund type operator and commu-tators on Morrey spaces, it includes following four chapters.In Chapter1, fistly, we introduce the background of Calderón-Zygmund singular integral andour results. Secondly, we related simply preliminaries and some notations which will be used inthe next chapters.In Chapter2, we investivate properties of the commutator [b, T] and proved that the com-mutator is bounded from L^p（μ） to L^p(μ^1-p), where T is Caldero′n-Zygmund operator.In Chapter3, we study boundedness of Toeplitz operator related to Calderón-Zygmund op-erators on Morrey space Lp,λand weighted Morrey space L^p,λ（ω）, respectively.In Chapter4, we discuss properties of Calderón-Zygmund type operator and the commutatoron weighted Morrey spaces and obtain some estimates for commutators on weighted Morrey spaces.