The Local Approximation Of Toeplitz Operators On The Weighted Bergman Space A~p(?)

In this paper,we first study the Carleson measure on the weighted Bergman space Ap(?).Then we get that if ?? is a Carleson measure for A?p,then the Carleson constant is independent of ? in the sense of equivalence.By the property of Carleson measure,we will show how to approximate the operator which belongs to the Toeplitz algebra by certain localized operators.The thesis consists of the following four chapers:In chapter 1,we introduce the background and the development of the related issues,and briefly describe the contents of the paper.In chapter 2,we give some basic definitions and some nomenclatures as preliminaries.In chapter 3,we characterize the Carleson measure and give that the Carleson con-stant is independent of ? in the sense of equivalence.In chapter 4,we give the proof of the main result.