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A uniqueness theorem for meromorphic mappings in several complex variables

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Frontiers of Mathematics in China 2012年第4期7卷 669-677页

作者： Zhihua CHEN qiming yan Department of Mathematics Tongji UniversityShanghai 200092China

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

An Upper Bound of Essential Norm of Composition Operator on H^2(B_n)

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Chinese Annals of Mathematics,Series B 2012年第6期33卷 841-856页

作者： Zhihua CHEN Liangying JIANG qiming yan Department of Mathematics Tongji University Department of Applied Mathematics Shanghai Finance University Department of Mathematics Tongji University

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 ***.A criterion is also giv... 详细信息

关键词： Essential norm Composition operator Hardy space

A note on uniqueness problem for meromorphic mappings with 2N+3 hyperplanes

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Science China Mathematics 2010年第10期53卷 2657-2663页

作者： ZhiHua Chen qiming yan Tongji Univ Dept Math Shanghai 200092 Peoples R China

In this paper,a uniqueness theorem for meromorphic mappings partially sharing 2N+3 hyperplanes is *** 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 non-degenerate meromorphic mappings and {Hj}j2=N1+ 3be 2N + 3 hyperplanes in general position such that dim f-1(Hi) ∩ f-1(Hj) n-2 for i = *** that E(Hj,f) E(Hj,g) for each j with 1 j 2N +3 and f = g on j2=N1+ 3f-1(Hj).If liminfr→+∞ 2j=N1+ 3N(1f,Hj)(r) j2=N1+ 3N(1g,Hj)(r) > NN+1,then f ≡ g.

关键词： value distribution theory uniqueness theorem meromorphic mappings

A Note on the Essential Norm of Composition Operators from H^p(B_N ) to H^q(B_N )

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Chinese Annals of Mathematics,Series B 2013年第5期34卷 683-690页

作者： Zhihua CHEN Liangying JIANG qiming yan Department of Mathematics Tongji University Department of Applied Mathematics Shanghai Finance University

The authors give an upper bound of the essential norms of composition opera- tors between Hardy spaces of the unit ball in terms of the counting function in the higher dimensional value distribution theory defined by ... 详细信息

关键词： Essential norm Composition operator Hardy space

A PICARD-TYPE THEOREM AND A UNIQUENESS THEOREM OF NON-ARCHIMEDEAN ANALYTIC CURVES IN PROJECTIVE SPACE

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Acta Mathematica Scientia 2019年第4期39卷 1053-1064页

作者： Zhonghua WANG qiming yan Department of Mathematics Tongji University Shanghai 200092 China School of Mathematics and Statistics Henan University Kaifeng 475000 China

In this article, we prove a Picard-type Theorem and a uniqueness theorem for non-Archimedean analytic curves in the projective space Pn(F), where the characteristic of F is 0 or positive. In the main results of this a... 详细信息

关键词： Picard-type theorem uniqueness theorem non-Archimedean analytic curves

A note on the uniqueness theorem of meromorphic mappings

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Science China Mathematics 2006年第3期49卷 360-365页

作者： yan qiming CHEN Zhihua Department of Mathematics Tongji University Shanghai 200092 China Department of Mathematics Tongji University Shanghai 200092 China

In this article, some uniqueness theorems of meromorphic mappings are proved.

关键词： value distribution theory, uniqueness theorem, meromorphic mappings.

The Degenerated Second Main Theorem and Schmidt's Subspace Theorem

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Science China Mathematics 2012年第7期55卷 1367-1380页

作者： CHEN ZhiHua RU Min yan qiming Department of Mathematics Tongji University Shanghai 200092 China Department of Mathematics University of Houston Houston TX 77004 USA

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

Uniqueness Theorem of Meromorphic Mappings with Moving Targets

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Chinese Annals of Mathematics,Series B 2006年第4期27卷 393-400页

作者： Zhihua CHEN qiming yan Department of Mathematics Tongji University Shanghai 200092 China.

Some uniqueness theorems of meromorphic mappings with moving targets are given under the inclusion relations between the zeros sets of meromorphic mappings.

关键词： Uniqueness theorem Meromorphic mapping Moving hyperplane

AN UPPER BOUND OF THE ESSENTIAL NORM OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES

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Acta Mathematica Scientia 2014年第4期34卷 1145-1156页

作者：陈志华江良英颜启明 Department of Mathematics Tongji University Department of Applied Mathematics Shanghai Finance University

In this paper, we define the generalized counting functions in the higher dimensional case and give an upper bound of the essential norms of composition operators between the weighted Bergman spaces on the unit ball in terms of these counting functions. The sufficient condition for such operators to be bounded or compact is also given.

关键词： essential norm composition operator weighted Bergman space