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Bloch spaces on bounded symmetric domains in complex Banach spaces
Authors:DENG Fangwen  OUYANG Caiheng
Institution:Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
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. Dedicated to Professor Sheng GONG on the occasion of his 75th birthday
Keywords:Bloch space  bounded symmetric domain  composition operator
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