数学物理学报 ›› 1997, Vol. 17 ›› Issue (3): 356-360.

• 论文 • 上一篇    

BMOA空间的循环元

叶善力   

  1. 福建师范大学数学系 福州 350007
  • 收稿日期:1996-01-02 修回日期:1996-04-26 出版日期:1997-06-26 发布日期:1997-06-26

Cyclic Vectors in the BMOA Space

Ye Shanli   

  1. Dept. Math. Fujian Normal Univer
  • Received:1996-01-02 Revised:1996-04-26 Online:1997-06-26 Published:1997-06-26

摘要: 在文中,刻划了BMOA空间的循环元,得到了f是BMOA空间循环元的充分必要条件是f为外函数.

关键词: 循环元, BMOA空间, 外函数

Abstract: In this paper we try to identify the funciton whose polynomial multiples are weak* dense in thc BMOA space. Wc obtain that if|f(z)| ≥ |g(z)|at all points and if g is cyclic, then f is cyclic, Theorem 2 gives a sufficient and nccessary condition for a function to be cyclic is that f is an outer function.

Key words: Cyclic vectors, BMOA space, Outer function