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There are mainly four innovations made in this thesis: By introducing the notion"collectively compact operator sequence"into the study of composition operators, we give a sufficient and necessary condition on generalized Nevanlinna counting functions of the inducing maps for {C〓} to be collectively compact, extend some previous results and enrich the content of the study of composition operators.

本文主要在以下几个方面有所创新:第一,把逼近论中的算子序列总体紧性的概念引入到复合算子理论的研究中来,并通过值分布理论中的广义Nevanlinna计数函数给出了Hardy空间与加权Bergman空间之间的复合算子序列的总体紧性的刻画,从而推广了Shapiro的结果,丰富了复合算子理论的内容。

Theorem4.5 Let A be a compact normal operator, is an isolated point in Prop4.13 Let A be a compact normal operator, AO is an isolated point in a.

i20 其中(入,…\*为一川的所有的互不相同的孤立点。命题4.13设A是紧正常算子,人。一0是a…)的$良立点。

To achieve these goals, and at the same time to enhance China's influence in international world, CEC became the first national employer organization in the world to support "Global Compact", and plays an key role in promoting "Global Compact" in China and launched a lot of campaigns. On December 8 of 2001, CEC co-organized "Chinese Business in the New World" seminar with UN in Beijing.

为达成这一目标,也为扩大中国企业在国际上的影响力,中国企业联合会、中国企业家协会成为全球第一个参与"全球契约"的国家级雇主组织,并积极参与"全球契约"在中国的推广,与联合国一起于2001年12月8日在北京首次举办了题为"新世界的中国企业"的研讨会。

Using the continuity method, we will obtain a theorem of existence of solutions to the equation on 4-dimensional compact Riemannian Manifolds.Finally, we will consider a kind of Kazdan-Warner type equation on compact complex manifolds.

作为上述工作的补充,我们讨论了规范固定Yang-Mills方程,并用连续性方法得到了一个在四维紧致黎曼流形上解的存在性定理。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性,〓数乘收敛级数的全程不变性,有基空间中的〓数乘收敛级数,无穷矩阵拓扑代数〓中的紧集,〓在不同拓扑下具有相同紧集的刻划,〓的弱序列完备性,Schur—矩阵的刻划,p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

This article introduces the principle of compact spinning with mechanism of inspiratory trough-like roller compact spinning analysed.

介绍了集聚纺纱的原理,分析了气流槽聚型集聚纺纱的作用机理,并对集聚纺纱沟槽的尺寸进行了设计计算,分析了机构的力学性能。

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundle For a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained.

中文摘要:本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上,推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程,得到了该热流的能量不等式和Bochner估计,由此可推出单调性公式和小作用量正则性,以及曲率各阶导数的局部一致估计。

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundleFor a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained. Then, the monotonicity formula and the small action regularity theorem can be proved. We will give the locally uniform estimates for the higher derivatives of the curvature.

本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上,推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程,得到了该热流的能量不等式和Bochner估计,由此可推出单调性公式和小作用量正则性,以及曲率各阶导数的局部一致估计。

The properties of the yarn structure and its fabric style produced by compact spinning and traditional ring spinning are com- pared through experiments by use of microphotograph and fabric style tester and related effective factors are also analyzed, thus provided some basis for compact spinning product development and positioning.

通过采用视频显微镜和织物风格仪等进行的实验,研究比较了紧密纺和传统环锭纺纱线的结构和织物风格特点,并分析了相关的影响因素,为紧密纺的产品定位和产品开发提供了依据。

In 1986, H. Gauchman proved another famous rigidity theorem for compact minimal submanifolds in a sphere: Let M be an n-dimensional compact minimal subman-ifold in S~(1), if σ≤ 1/3 holds for any unit vector u ∈ UM, then either σ≡ 0, i.e..

若对任意单位切向量u∈UM,有σ≤1/3,其中σ=‖h‖~2,则σ≡0,即M是全测地子流形;或者σ≡1/3,并且要完全确定这类极小子流形的几何结构。

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