| Normal families of meromorphic mappings of several complex variables into P~N(C) for moving targets |
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| 摘 要： | Motivated by Ru and Stoll's accomplishment of the second main theorem in higher dimension with moving targets, many authors studied the moving target problems in value distribution theory and related topics. But thereafter up to the present, all of researches about normality criteria for families of meromorphic mappings of several complex variables into PN(C) have been still restricted to the hyperplane case. In this paper, we prove some normality criteria for families of meromorphic mappings of several complex variables into PN(C) for moving hyperplanes, related to Nochka's Picard-type theorems. The new normality criteria greatly extend earlier related results.
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Normal families of meromorphic mappings of several complex variables into PN(C) for moving targets |
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| TU Zhenhan,LI Pingli. Normal families of meromorphic mappings of several complex variables into PN(C) for moving targets[J]. Science in China(Mathematics), 2005, 48(Z1). DOI: 10.1007/BF02884720 |
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| Authors: | TU Zhenhan LI Pingli |
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| Abstract: | Motivated by Ru and Stoll's accomplishment of the second main theorem in higher dimension with moving targets, many authors studied the moving target problems in value distribution theory and related topics. But thereafter up to the present, all of researches about normality criteria for families of meromorphic mappings of several complex variables into PN(C) have been still restricted to the hyperplane case. In this paper, we prove some normality criteria for families of meromorphic mappings of several complex variables into PN(C) for moving hyperplanes, related to Nochka's Picard-type theorems. The new normality criteria greatly extend earlier related results. |
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| Keywords: | complex projective spaces meromorphic mappings moving targets normal families and value distribution theory. |
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