Factorization of proper holomorphic maps on irreducible bounded symmetric domains of rank≥2

We obtain rigidity results on arbitrary proper holomorphic maps F from an irreducible bounded symmetric domain Ω of rank ≥2 into any complex space Z. After lifting to the normalization of the subvariety F (Ω) Z, we prove that F must be the canonical projection map to the quotient space of Ω by a finite group of automorphisms. The approach is along the line of the works of Mok and Tsai by considering radial limits of bounded holomorphic functions derived from F and proving that proper holomorphic maps between bounded symmetric domains preserve certain totally geodesic subdomains. In contrast to the previous works, in general we have to deal with multivalent holomorphic maps for which Fatou’s theorem cannot be applied directly. We bypass the difficulty by devising a limiting process for taking radial limits of correspondences arising from proper holomorphic maps and by elementary estimates allowing us to define distinct univalent branches of the underlying multivalent map on certain subsets. As a consequence of our rigidity result, with the exception of Type-IV domains, any proper holomorphic map f : Ω→ D of Ω onto a bounded convex domain D is necessarily a biholomorphism. In the exceptional case where Ω is a Type-IV domain, either f is a biholomorphism or it is a double cover branched over a totally geodesic submanifold which can be explicitly described.     

Montel-Type Theorems in Several Complex Variables with Continuously Moving Targets

The authors introduce a new idea related to Montel-type theorems in higher dimension and prove some Montel-type criteria for normal families of holomorphic mappings and normal holomorphic mappings of several complex variables into p^N （C） for continuously moving hyperplanes in pointwise general position. The main results are also true for continuously moving hypersurfaces in pointwise general position. Examples are given to show the sharpness of the results.     

求分块周期三对角方程组的新算法

得到了求解系数矩阵为分块周期三对角矩阵线性方程组的一种新算法.     

关于一道反常积分习题的探讨

对华东师范大学数学系编写的数学分析教材以及陈纪修等编写的数学分析教材课后一道反常积分习题给出反例,并通过增加条件,得到正确结论.     

中国突发性地质灾害分布的统计规律

本文根据地域间突发性地质灾害发生的相似性,将全国区划为9个自然区域;然后依据统计学的大数原理,建立了概率模型分析地质灾害在9个自然区域的分布特点以及隶属于各自然区域的所有省、市和自治区的地质灾害分布特征。结果显示不同类型与不同的区域之间存在着不同程度的强相依性,分布格局明显。     

CONTINUOUS DEPENDENCE ON DATA UNDER THE LIPSCHITZ METRIC FOR THE ROTATION-CAMASSA-HOLM EQUATION

In this article,we consider the Lipschitz metric of conservative weak solutions for the rotation-Camassa-Holm equation.Based on defining a Finsler-type norm on the tangent space for solutions,we first establish the Lipschitz metric for smooth solutions,then by proving the generic regularity result,we extend this metric to general weak solutions.     

基于创新性过程投入的员工创造力影响因素研究

创新性过程投入是近年来在管理领域出现的新概念,虽然从理论上能够推导出这一概念有助于员工创造力的提升,但其在知识工作者的内生动机与创造力之间是否以及扮演什么角色,理论界触及不深、缺乏系统的探索和阐释。论文基于自主理论建构了一个被调节的中介效应模型,旨在探索内生动机是如何影响员工创造力的。实证结果表明:(1)知识工作者的内生动机显著影响创造力;(2)创新性过程投入在知识工作者内生动机与创造力之间起部分中介作用;(3)创造力自我效能感调节了创新性过程投入对创造力的影响;进一步,(4)创新性过程投入的中介作用受到了创造力自我效能感的调节,创造力自我效能感程度越高,知识工作者内生动机通过创新性过程投入对创造力的间接作用越强。研究发现创新性过程投入在主效应中的特殊解释力,丰富内生动机效力的相关研究,对员工创造性实践提供了有益的启示。     

火电厂燃煤和粉煤灰及炉渣中天然放射性水平分析

本文采用低本底γ能谱仪对乌鲁木齐市华电和国电两个电厂的燃煤、粉煤灰和炉渣中的天然放射性核素含量进行了测量.测量结果:226Ra、232Th、40K含量的平均值,煤中分别为5.54、3.51、69.15Bq/Kg,粉煤灰中分别为26.99、15.89、122.69Bq/Kg,炉渣样中分别为28.79、15.98、116.72Bq/Kg.并依据国家标准对粉煤灰进行分类,结果表明,粉煤灰的使用不受限制.     

关于p-凸函数的Hadamard型不等式

对于P-凸函数在给定连续区间上的算术平均问题,通过P-凸函数理论将其转化为定积分问题,利用定积分的定义计算和定积分运算,建立了P-凸函数的Hadamard 型不等式,给出了证明和发现不等式的实例.     

多复变全纯映射正规族关于连续移动超平面的一个充要条件

证明了从C~n的一个区域到P~N(C)中的多复变全纯映射族为正规族的一个充要条件.这个充要条件与P~N(C)中的逐点处于一般位置的连续移动超平面族有关.证明的主要方法来自于微分方程.