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Bloch spaces on bounded symmetric domains in complex Banach spaces

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Abstract

We give a definition of Bloch space on bounded symmetric domains in arbitrary complex Banach space and prove such function space is a Banach space. The properties such as boundedness, compactness and closed range of composition operators on such Bloch space are studied.

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Authors and Affiliations

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, 430071, China

    Deng Fangwen & Ouyang Caiheng

Authors
  1. Deng Fangwen
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  2. Ouyang Caiheng
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Corresponding author

Correspondence to Ouyang Caiheng.

Additional information

Dedicated to Professor Sheng GONG on the occasion of his 75th birthday

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Deng, F., Ouyang, C. Bloch spaces on bounded symmetric domains in complex Banach spaces. SCI CHINA SER A 49, 1625–1632 (2006). https://doi.org/10.1007/s11425-006-2050-0

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  • DOI: https://doi.org/10.1007/s11425-006-2050-0

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