The Hausdorff Dimension Of Weighted Besicovitch Set

In symbolic space which is composed of 0 and 1, the Besicovitch set is the frequency of 1 which is less than p, its Hausdorff dimension is solved by Besicovitch. In this paper, the dimension of weighted Besicovitch set is discussed by using principle of the mass distribution.The thesis consists three chapters. The origination and history background in this paper are introduced in chapter one. In chapter two, the definition^ basic properties and results of some dimensions and symbolic space are given. The chapter three is the core of this paper, which give and prove the results.