国家自然科学基金(10901120)

作品数：5被引量：13H指数：3
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An Upper Bound of Essential Norm of Composition Operator on H^2(B_n)被引量：3
《Chinese Annals of Mathematics,Series B》2012年第6期841-856,共16页Zhihua CHEN Liangying JIANG Qiming YAN 
Project supported by the National Natural Science Foundation of China(Nos.11171255,11101279,10901120)
The authors give an upper bound of the essential norm of a composition operator on H2(Bn),which involves the counting function in the higher dimensional value distribution theory defined by S.S.Chern.A criterion is al...
关键词：Essential norm Composition operator Hardy space 
A uniqueness theorem for meromorphic mappings in several complex variables
《Frontiers of Mathematics in China》2012年第4期669-677,共9页Zhihua CHEN Qiming YAN 
This work was supported by the National Natural Science Foundation of China （Grant Nos. 11171255, 10901120） and the Doctoral Program Foundation of the Ministry of Education of China （Grant No. 20090072110053）.
In this paper, we give a uniqueness theorem for meromorphic mappings from Cn into P^N（C） with rank ≥ μ regardless of multiplicities.
关键词：Value distribution theory uniqueness theorem meromorphicmapping 
The Degenerated Second Main Theorem and Schmidt's Subspace Theorem被引量：5
《Science China Mathematics》2012年第7期1367-1380,共14页CHEN ZhiHua RU Min YAN QiMing 
supported by National Natural Science Foundation of China (Grant Nos. 11171255, 10901120);Doctoral Program Foundation of the Ministry of Education of China (Grant No.20090072110053);US National Security Agency (Grant Nos. H98230-09-1-0004, H98230-11-1-0201)
In this paper, we establish a Second Main Theorem for an algebraically degenerate holomorphic curve f : C → Pn(C) intersecting hypersurfaces in general position. The related Diophantine problems are also considered.
关键词：Nevanlinna theory holomorphic curve Second Main Theorem Diophantine approximation Schmidt＇s Subspace Theorem 
A DEGENERACY THEOREM FOR MEROMORPHIC MAPPINGS WITH TRUNCATED MULTIPLICITIES被引量：2
《Acta Mathematica Scientia》2011年第2期549-560,共12页颜启明 陈志华 
supported by the National Natural Science Foundation of China(10871145, 10901120);Doctoral Program Foundation of the Ministry of Education of China (20090072110053)
In this article, we prove a degeneracy theorem for three linearly non-degenerate meromorphic mappings from Cn into PN （C）, sharing 2N ＋ 2 hyperplanes in general position, counted with multiplicities truncated by 2.
关键词：Value distribution theory degeneracy theorem meromorphic mapping 
A note on uniqueness problem for meromorphic mappings with 2N+3 hyperplanes被引量：3
《Science China Mathematics》2010年第10期2657-2663,共7页ZhiHua Chen QiMing Yan 
supported by National Natural Science Foundation of China (Grant Nos.10871145,10901120);Doctoral Program Foundation of the Ministry of Education of China (Grant No.20090072110053)
In this paper,a uniqueness theorem for meromorphic mappings partially sharing 2N+3 hyperplanes is proved.For a meromorphic mapping f and a hyperplane H,set E(H,f) = {z|ν(f,H)(z) > 0}.Let f and g be two linearly no...
关键词：value distribution theory UNIQUENESS theorem MEROMORPHIC MAPPINGS 
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