检索结果-南通市图书馆

Properties for a Class of holomorphic mapson Hilbert Space

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 1998年第2期13卷 103-106,页

作者：朱健民国防科技大学湖南长沙 410073

In this note we deal with a class of holomorphic maps with generalized positive real part on Hilbert space. The distortion theorem and Pick Julia type theorem for these maps are obtained.

关键词： Hilbert space holomorphic map

Weighted Integral Means of Mixed Areas and Lengths Under holomorphic mappings

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2014年第1期30卷 1-19页

作者： Jie Xiao Wen Xu Department of Mathematics and Statistics Memorial University Department of Physics and Mathematics University of Eastern FinlandP.O. Box 111 FI-80101 Joensuu Finland

This note addresses monotonic growths and logarithmic convexities of the weighted （（1-t2）αdt2, -∞〈α〈∞, 0〈t〈1） integral means Aα,β（ f ,·） and Lα,β（ f ,·） of the mixed area （πr2）-βA（ f ,r） and the mixed length （2πr）-βL（ f ,r）（0≤β≤1 and 0〈r〈1） of f （rD） and？f （rD） under a holomorphic map f from the unit disk D into the finite complex plane C.

关键词： Monotonic growth logarithmic convexity mean mixed area mean mixed length,isoperimetric inequality holomorphic map univalent function.

Picard-Type Theorem and Curvature Estimate on an Open Riemann Surface with Ramification

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2023年第4期44卷 533-548页

作者： Zhixue LIU Yezhou LI School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China Key Laboratory of Mathematics and Information Networks(Beijing University of Posts and Telecommunications) Ministry of EducationChina

Let M be an open Riemann surface and G:M→Pn(C)be a holomorphic *** the conformal metric on M which is given by ds^(2)=‖■‖^(2m)|w|^(2),where■is a reduced representation of G,ωis a holomorphic 1-form on M and m is a positive *** that ds^(2) is complete and G is k-nondegenerate(0≤k≤n).If there are q hyperplanes H1,H2,…,Hq■Pn(C)located in general position such that G is ramified over Hj with multiplicity at leastγj(>k)for each j∈{1,2,…,q},and it holds that■,then M is flat,or equivalently,G is a constant ***,one further give a curvature estimate on M without assuming the completeness of the surface.

关键词： Picard-type theorem holomorphic map Riemann surface Curvature estimate

Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2013年第5期56卷 1019-1032页

作者： YANG GuiLin HAN YingBo DONG YuXin School of Mathematical Sciences Fudan University Key Laboratory of Mathematics for Nonlinear Sciences Ministry of EducationFudan University College of Mathematics and Information Science Xinyang Normal University

In this paper, we introduce the notion of Hermitian pluriharmonic maps from Hermitian manifold into Kiihler manifold. Assuming the domain manifolds possess some special exhaustion functions and the vecotor field V = JMδJM satisfies some decay conditions, we use stress-energy tensors to establish some monotonicity formulas of partial energies of Hermitian pluriharmonic maps. These monotonicity inequalities enable us to derive some holomorphicity for these Hermitian pluriharmonic maps.

关键词： stress energy tensor monotonicity formula Hermitian pluriharmonic map holomorphic map

RANDOM ITERAtION OF holomorphic SELF-mapS OVER BOUNDED DOMAINS IN C^N

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 1995年第1期16卷 33-42页

作者： ZHANGWENJUN RENFUYAO DeparatmentofMathematics HenanUniversityKaifeng475001China. InstituteofMathematics FudanUniversityShanghai200433China

This paper studies the asymptotic properties of the random iterations of both the form G. = f1 o f2 o''' o fn and the form Fn= fn o fn-1 o''' o f1, where {fn} H(Ω,Ω) and Ω C ￣N is a bounded domain. It is found that, under some conditions, Gn or Fn tends to a point in Ω as Ω→ ∞. Some examples are also given to show that the conditions that we have given can not be dropped in general. Moreover, a complete description is given for Fn or Gn to tend to a point in Ω under the condition fn→ f.

关键词： Random iteration holomorphic map Kobayashi metric.