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Normal families of
holomorphic mappings into complex projective space concerning
shared hyperplanes
Liu Yang, Caiyun Fang and Xuecheng Pang |
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Vol. 272 (2014), No. 1, 245–256
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Abstract |
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We prove new criteria for normality for holomorphic mappings into the complex projective space using the generalized Zalcman lemma. This improves previous results in one complex variable. An example is included to complement our theory. |
Keywords
normal family, holomorphic mapping, complex projective
space
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Mathematical Subject Classification 2010
Primary: 32A17, 32H25
Secondary: 30D35, 30D45
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Milestones
Received: 3 August 2013
Revised: 22 September 2013
Accepted: 25 February 2014
Published: 9 October 2014
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Authors |
| Liu Yang | |
| Department of Mathematics East China Normal University Shanghai, 200062 China |
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| Caiyun Fang | |
| School of Mathematics Sciences Nanjing Normal University Nanjing, 210023 China |
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| Xuecheng Pang | |
| Department of Mathematics East China Normal University Shanghai, 200062 China |
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