COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL

doi:10.1016/S0252-9602(13)60127-7

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

COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL

戴济能^1,2|欧阳才衡³

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-Neng^1,2, OUYANG Cai-Heng³

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/Abstract

摘要：

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

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

中图分类号:

47B33

戴济能, 欧阳才衡. COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL[J]. 数学物理学报(英文版), 2014, 34(1): 73-81.

Dai-Ji-Neng, OUYANG Cai-Heng. COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL[J]. Acta mathematica scientia,Series B, 2014, 34(1): 73-81.

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COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL

COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALL

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