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| A Generalization of Lappan's Theorem to Higher Dimensional Complex Projective Space* |
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Citation： |
Xiaojun LIU,Han WANG.A Generalization of Lappan's Theorem to Higher Dimensional Complex Projective Space*[J].Chinese Annals of Mathematics B,2022,43(3):373~382 |
| Page view： 595
Net amount： 513 |
Authors： |
Xiaojun LIU; Han WANG |
Foundation： |
National Natural Science Foundation of China (No. 11871216). |
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| Abstract： |
In this paper, the authors discuss a generalization of Lappan’s theorem to higher dimensional complex projective space and get the following result: Let f be a holomorphic mapping of ? into Pn(C), and let H1, · · · , Hq be hyperplanes in general position in Pn(C).Assume that sup {(1 ? |z|2)f?(z) : z ∈ q[ j=1 f?1(Hj )o < ∞,if q ≥ 2n2 + 3, then f is normal. |
Keywords： |
Holomorphic mapping, Normal family, Hyperplanes |
Classification： |
32A19, 32H30, 30D45, 30H02. |
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