数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 73-81.doi: 10.1016/S0252-9602(13)60127-7

• 论文 • 上一篇    下一篇

COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL

戴济能1,2|欧阳才衡3   

  1. 1. School of Science, Wuhan Institute of Technology, Wuhan 430074, China;
    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;
    3. Wuhan Institute of Physics and Mathematics, the Chinese Academy of Science, Wuhan 430071, China
  • 收稿日期:2012-11-19 出版日期:2014-01-20 发布日期:2014-01-20
  • 基金资助:

    Supported in part by the National Natural Science Foundation of China (11301404, 11271359) and the Educational Commission of Hubei Province of China (Q20121503).

COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL

 DAI Ji-Neng1,2, OUYANG Cai-Heng3   

  1. 1. School of Science, Wuhan Institute of Technology, Wuhan 430074, China;
    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;
    3. Wuhan Institute of Physics and Mathematics, the Chinese Academy of Science, Wuhan 430071, China
  • Received:2012-11-19 Online:2014-01-20 Published:2014-01-20
  • Supported by:

    Supported in part by the National Natural Science Foundation of China (11301404, 11271359) and the Educational Commission of Hubei Province of China (Q20121503).

摘要:

In this paper, we obtain some new necessary and sufficient conditions for the boundedness and compactness of composition operators CΦ between Bloch type spaces in the unit ball Bn.

关键词: composition operator, Bloch type space, boundedness, compactness

Abstract:

In this paper, we obtain some new necessary and sufficient conditions for the boundedness and compactness of composition operators CΦ between Bloch type spaces in the unit ball Bn.

Key words: composition operator, Bloch type space, boundedness, compactness

中图分类号: 

  • 47B33