Boundedness Of Two Operators And Commutators On Weighted Morrey Spaces

In this thesis, we mainly study the boundedness of two operators and their com-mutators on weighted Morrey spaces. It consists of four chapters.In the first chapter, we introduce the background knowledge, some necessary concepts and lemmas.In the second chapter, we used a method of sharp maximal function approach to show the boundedness of the commutators generated by the Bochner-Riesz operators and the weighted BMO functions on weighted Morrey spaces.In the third chapter, we proved that the boundedness of the commutators gen-erated by the Bochner-Riesz operators with Lipschitz functions and the weighted Lipschitz functions on weighted Morrey spaces.In the fourth chapter, we discussed the boundness of the θ-type Calderon-Zygmund operators and the commutators generated by the0-type Calderon-Zygmund operators with the weighted BMO functions on weighted Morrey spaces...