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DISTORTION THEOREMS FOR CLASSES OF g-PARAMETRIC STARLIKE MAPPINGS OF REAL ORDER IN C^(n)
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作者 刘红炎 涂振汉 熊良鹏 《Acta Mathematica Scientia》 SCIE CSCD 2023年第4期1491-1502,共12页
In this paper,we define the class S_(g)^(BX)of g-parametric starlike mappings of real order γ on the unit ball BX in a complex Banach space X,where g is analytic and satisfies certain conditions.By establishing the d... In this paper,we define the class S_(g)^(BX)of g-parametric starlike mappings of real order γ on the unit ball BX in a complex Banach space X,where g is analytic and satisfies certain conditions.By establishing the distortion theorem of the Fr´echet-derivative type of S_(g)^(BX)with a weak restrictive condition,we further obtain the distortion results of the Jacobi-determinant type and the Fr´echet-derivative type for the corresponding classes(compared with S_(g)^(BX))defined on the unit polydisc(resp.unit ball with the arbitrary norm)in the space of n-dimensional complex variables,n≥2.Our results extend the classic distortion theorem of holomorphic functions from the case in one-dimensional complex space to the case in the higher dimensional complex space.The main theorems also generalize and improve some recent works. 展开更多
关键词 Banach space distortion theorem of Jacobi-determinant type distortion theorems of the Frechet-derivative type g-parametric starlike mappings
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THE SCHWARZ LEMMA AT THE BOUNDARY OF THE NON-CONVEX COMPLEX ELLIPSOIDS 被引量:2
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作者 Le HE zhenhan tu 《Acta Mathematica Scientia》 SCIE CSCD 2019年第4期915-926,共12页
Let B2,p:= {z ∈ C2: |z1|2+ |z2|p< 1}(0 < p < 1). Then, B2,p(0 < p < 1) is a non-convex complex ellipsoid in C2 without smooth boundary. In this article, we establish a boundary Schwarz lemma at z0 ... Let B2,p:= {z ∈ C2: |z1|2+ |z2|p< 1}(0 < p < 1). Then, B2,p(0 < p < 1) is a non-convex complex ellipsoid in C2 without smooth boundary. In this article, we establish a boundary Schwarz lemma at z0 ∈ ?B2,p for holomorphic self-mappings of the non-convex complex ellipsoid B2,p, where z0 is any smooth boundary point of B2,p. 展开更多
关键词 BOUNDARY SCHWARZ lemma HOLOMORPHIC mappings Kobayashi metric NONCONVEX COMPLEX ELLIPSOIDS
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Uniqueness Theorems for Meromorphic Mappings in Several Complex Variables into P^N(C) with Two Families of Moving Targets
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作者 Zhonghua WANG zhenhan tu 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2013年第5期719-732,共14页
The authors prove some uniqueness theorems for meromorphic mappings in several complex variables into the complex projective space PN(C)with two families of moving targets,and the results obtained improve some earlier... The authors prove some uniqueness theorems for meromorphic mappings in several complex variables into the complex projective space PN(C)with two families of moving targets,and the results obtained improve some earlier work. 展开更多
关键词 Meromorphic mapping Moving target Uniqueness theorem Valuedistribution theory
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