数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (3): 404-412.

• 论文 • 上一篇    下一篇

COMPOSITION OPERATOR ON BERS-TYPE SPACES

 何维湘, 姜立建   

  1. Department Of Mathemattics, Helsinki University Of Technology, Finland Institute of Mathematics, Academia Sinica, Beijing 100080, China
  • 出版日期:2002-07-15 发布日期:2002-07-15
  • 基金资助:

    Supported by the National Natural Science Foundation of China (19971091)

COMPOSITION OPERATOR ON BERS-TYPE SPACES

 HE Wei-Xiang, JIANG Li-Jian   

  1. Department Of Mathemattics, Helsinki University Of Technology, Finland Institute of Mathematics, Academia Sinica, Beijing 100080, China
  • Online:2002-07-15 Published:2002-07-15
  • Supported by:

    Supported by the National Natural Science Foundation of China (19971091)

PDF (PC)

1256

摘要：

Necessary and sufficient conditions are established for a composition operator C'f = f ?' to be bounded or compact on the Bers-type space H1
and the little Bers-type space H1 . The boundedness and compactness of the composition operator C' on A1(') are characterized, which generalize the case of C' on H1
.

关键词: Composition operator, Bers-type space, boundedness, compactness

Abstract:

Necessary and sufficient conditions are established for a composition operator C'f = f ?' to be bounded or compact on the Bers-type space H1
and the little Bers-type space H1 . The boundedness and compactness of the composition operator C' on A1(') are characterized, which generalize the case of C' on H1

Key words: Composition operator, Bers-type space, boundedness, compactness

中图分类号: 

  • 47B38
版权所有 © 《数学物理学报(英文版)》杂志社
地址：武汉市71010号信箱(430071)　电话: 027-87199206(中文版)　027-87199087(英文版)
E-mail: actams@apm.ac.cn
本系统由北京玛格泰克科技发展有限公司设计开发