| SHARP DISTORTION THEOREMS FOR A CLASS OF BIHOLOMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES |
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| 作者姓名： | 刘小松 |
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| 作者单位： | School of Mathematics and Statistics,Lingnan Normal University |
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| 基金项目： | Supported by National Natural Science Foundation of China (11871257,12071130)； |
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| 摘 要： | In this paper,we first establish the sharp growth theorem and the distortion theorem of the Frechet derivative for biholomorphic mappings defined on the unit ball of complex Banach spaces and the unit polydisk in Cn with some restricted conditions.We next give the distortion theorem of the Jacobi determinant for biholomorphic mappings defined on the unit ball of Cn with an arbitrary norm and the unit polydisk in Cn under certain restricted assumptions.Finally we ...
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