数学物理学报

• 论文 •    下一篇

半平面中级小于2的解析函数的分解

邓冠铁   

  1. 北京师范大学数学系 北京 100875
  • 收稿日期:2005-03-18 修回日期:2006-03-27 出版日期:2007-02-25 发布日期:2007-02-25
  • 通讯作者: 邓冠铁
  • 基金资助:
    国家自然科学基金 (10371011, 10071005)和教育部留学回国人员科研启动基金资助

Factorization of Analytic Function of Order Less Than

Deng Guantie   

  1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875
  • Received:2005-03-18 Revised:2006-03-27 Online:2007-02-25 Published:2007-02-25
  • Contact: Deng Guantie

摘要: 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.

关键词: 解析函数, Blaschke乘积, 分解

Abstract: 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.

Key words: Analytic function, Half plane, Factorization

中图分类号: 

  • 30E20