数学物理学报

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半平面中解析函数的零点

邓冠铁   

  1. 北京师范大学数学系 100875
  • 收稿日期:2003-09-13 修回日期:2005-01-10 出版日期:2006-02-25 发布日期:2006-02-25
  • 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

On Zeros of Analytic Functions in Half Plane

Deng Guantie   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875
  • Received:2003-09-13 Revised:2005-01-10 Online:2006-02-25 Published:2006-02-25
  • Contact: Deng Guantie

摘要: 对在半平面中属于加权Hardy空间,不恒为零且在某一固定点列上为零的解析函数的存在性给出了充分必要条件。

关键词: 解析函数;加权Hardy空间;存在性

Abstract: A necessary and sufficient condition is given for the existence of an analytic function belonging to the weighted Hardy space in the half-plane, which is not identically zero but is zero on a given sequence in the half-plane.

Key words: Analytic function, Weighted Hardy space, Existence

中图分类号: 

  • 30D50