Dunford-Pettis composition operators on in several variables

A bounded composition operator on , where is the unit ball in , is Dunford-Pettis if and only if the radial limit function of takes values on the unit sphere only on a set of surface measure zero. A similar theorem holds on bounded strongly pseudoconvex domains with smooth boundary.

     

On the Intertwining of \partial{\mathcal{D}}-Isometries

Let be a strictly pseudoconvex bounded domain in with C ² boundary . If a subnormal m-tuple T of Hilbert space operators has the spectral measure of its minimal normal extension N supported on , then T is referred to as a -isometry. Using some non-trivial approximation theorems in the theory of several complex variables, we establish a commutant lifting theorem for those -isometries whose (joint) Taylor spectra are contained in a special superdomain Ω of . Further, we provide a function-theoretic characterization of those subnormal tuples whose Taylor spectra are contained in Ω and that are quasisimilar to a certain (fixed) -isometry T (of which the multiplication tuple on the Hardy space of the unit ball in is a rather special example). Submitted: September 9, 2007. Revised: October 10, 2007. Accepted: October 24, 2007.     

Some aspects of Property for

In this paper, we discuss the invariance property of Property under holomorphic maps on any compact subset in . An obstruction to Property of any compact subset regarding the fine topology is also given, which generalizes a classical result of N. Sibony on the complex plane.     

Bergman空间上Hankel算子的本性范数的刻划

在文中,对于Ｃ＾ｍ中有界强拟凸域Ω,得到了Ｂｅｒｇｍａｎ空间Ａ＾２（Ω）上的Ｈａｎｋｅｌ算子Ｈｆ（ｆ∈Ｌ＾２（Ω,ｄｖ）的本性范数∥Ｈｆ∥ｅｓｓ（在Ｌ＾２（Ω,ｄｖ上）的等价刻划。     

双层多功能布的动静态力学性能及本构关系

针对双层多功能布的物理特性,利用材料试验机和分离式Hopkinson压杆装置,展开了准静态和动态条件下材料的单轴抗压实验,获得了材料在不同应变率下的应力应变曲线和材料的失效应力、应变。实验结果表明：双层多功能布的动态失效强度明显高于准静态失效强度,而且随着应变率的增加,其动态失效强度呈现增加的趋势,即该材料具有明显的应变率硬化效应。对应力应变曲线进行拟合,给出了材料的动静态粘弹性本构关系。并对双层多功能布在不同应变率下的失效应变及材料的损伤结果进行了初步的分析。     

轻质多孔材料研究进展

高超声速武器是军事装备的发展方向,在未来战争中起着重要作用.轻质材料是高超声速飞行器设计与制造的关键技术之一,它是实现高超声速飞行器高超声速、高机动性、远程打击等性能的基础和保障.高超声速飞行器轻质材料主要有蜂窝材料、泡沫金属材料、点阵材料.这些材料具有超轻、高比强、高比刚度、高强韧、高能量吸收等优良机械性能,以及减震、散热、吸声、电磁屏蔽等特殊性质,它兼具功能和结构双重作用,是一种性能优异的多功能材料.本文从材料制备、结构设计、力学与物理性能表征等方面综述了高超声速飞行器轻质材料的研究与应用现状,比较了三种轻质材料的机械和物理性能,重点评述了新型点阵材料的制备工艺、结构构型、力学及其他性能,指出了其发展趋势.     

KY FAN TYPE BEST APPROXIMATION THEOREM FOR A CLASS OF FACTORIZABLE MULTIFUNCTIONS

An existence result on Ky Fan type best approximation is proved. For this purpose, a class of factorizable multifunctions and the other one being a demicontinuous, relative almost quasi-convex, onto function on an approximately weakly compact, convex subset of Hausdorff locally convex topological vector space are used. As consequence, this result extends the best approximation results of Basha and Veeramani [8] and many others.     

广义非线性隐似变分不等式

A new class of generalized nonlinear implicit variational-like inequality problems （for short, GNIVLIP） in the setting of locally convex topological vector spaces is introduced and studied in this paper. Under suitable conditions, some existence theorems of solutions for （GNIVLIP） are presented by using some fixed point theorems.