半平面中级小于2的解析函数的分解

Factorization of Analytic Function of Order Less Than Two in Half Plane

该文证明了半平面中级小于2的解析函数可以分解为加权Blaschke乘积,加权内函数和加权外函数三个解析函数的乘积,这一结果是Hardy空间中的解析函数的经典分解结果的推广．

In this paper, the author proves that an analytic function of order less than 2 in a half plane can be factored into the product of the three functions： weighted Blaschke product, weighted singular inner function and weighted outer function. This is a generalization of the classical factorization about analytic functions in the Hardy space.