Weighted Estimates For Commutators Of Two Kinds Of Integral Operators With Campanato Functions

In this paper,by using the classical estimation method in harmonic analysis which is called the Sharp maximum estimation method,we estimate the commutator of two kinds of singular integrals with weighted Campanato functions.The boundedness of commutators are estimated by the two kinds of singular integrals with the weighted Campanato functions.The individual chapters are scheduled as follows:Chapter 1:It describe the background and significance of the weighted estimation for the commutator of the singular integral operator with Campanato functions,furthemore it lists lemmas and theorems that will be proved afterward are in the chapter.Chapter 2:The commutator for the Campanato function and the ?-type Calderón-Zygmund integral operator is bounded in the weighted Morrey space.Chapter 3:The commutators of Marcinkiewicz integrals with Variable Kernel is estimated with weighted Campanato function.Chapter 4:Paper summary and other research results.