Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (1): 73-81.doi: 10.1016/S0252-9602(13)60127-7

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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).

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

CLC Number: 

  • 47B33
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