Montel-Type Theorems in Several Complex Variables with Continuously Moving Targets |
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| Authors: | Zhenhan TU and Shasha ZHANG |
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| Affiliation: | Department of Mathematics and Statistics,Wuhan University,Wuhan 430072,China |
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| Abstract: | The authors introduce a new idea related to Montel-type theorems in higher dimension and prove some Montel-type criteria for normal families of holomorphic mappings and normal holomorphic mappings of several complex variables into PN(C)for continuously moving hyperplanes in pointwise general position.The main results are also true for continuously moving hypersurfaces in pointwise general position.Examples are given to show the sharpness of the results. |
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| Keywords: | Holomorphic mappings Normal families Picard-type theorems Value distribution theory |
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