| Bloch spaces on bounded symmetric domains in complex Banach spaces Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| 作者姓名： | DENG Fangwen & OUYANG Caiheng Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan China |
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| 作者单位： | DENG Fangwen & OUYANG Caiheng Wuhan Institute of Physics and Mathematics，Chinese Academy of Sciences，Wuhan 430071，China |
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| 摘 要： | 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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Bloch spaces on bounded symmetric domains in complex Banach spaces Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| DENG Fangwen & OUYANG Caiheng Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan ,China.Bloch spaces on bounded symmetric domains in complex Banach spaces Dedicated to Professor Sheng GONG on the occasion of his 75th birthday[J].Science in China(Mathematics),2006(11). |
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| Authors: | DENG Fangwen & OUYANG Caiheng Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan China |
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| Affiliation: | DENG Fangwen & OUYANG Caiheng Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan 430071,China |
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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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| Keywords: | Bloch space bounded symmetric domain composition operator |
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