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| Montel-Type Theorems in Several Complex Variables with Continuously Moving Targets |
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Citation： |
Zhenhan TU,Shasha ZHANG.Montel-Type Theorems in Several Complex Variables with Continuously Moving Targets[J].Chinese Annals of Mathematics B,2010,31(3):373~384 |
| Page view： 1716
Net amount： 1213 |
Authors： |
Zhenhan TU; Shasha ZHANG; |
Foundation： |
the National Natural Science Foundation of China (No. 10971156). |
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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 $P^N(\mathbb{C})$ 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. |
Keywords： |
Holomorphic mappings, Normal families, Picard-type theorems, Value
distribution theory |
Classification： |
32A19, 32H25, 32H30 |
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