紧性

In chapter four,we investigate the compactness of comm-utators of CZO and fractional integral operator with VMO functions.

本文第四章研究Calderon-Zygmund算子和分数次积分算子与VMO函数的交换子的紧性问题。

Arkeryd [5], then we use the results about moment and entropy given in [6], andprove that there exists a space homogeneous solution in L~1(R~3) to this equation withunbounded collision frequency.

Arkeryd紧性方法[5]的启发，根据[6]中给出的熵与矩的结果，在碰撞机率无界的情况下，证明了线性半导体Boltzmann方程在L~1(R~3)空间中存在均匀解。

It is abtained that these local paracompactnesses are invariable under some order homomorphism.

这些局部仿紧性在某种序同态下是保持不变的。

Uniform continuity;Lebesgue number;property L ;compactness

一致连续；；Lebesgue数；；性质L；；紧性

First,we consider the lower semicontinuity property fora functional with linear growth in LDΩthe second, in the SBD space,we discussthe lower semicontinuity of an integral functional that the integrand is a Carathéodoryfunction and that satisfies a symmetric quasi-convex assumption, by the compactnesstheorem of the SBD space,blow-up method and Morrey theorem,prove that integral functional is lower semicontinuous with respect to L~1- convergence;then by using theone-dimentional sections method and the structure theorem of the BD functions, dis-cuss the lower semicontinuity of the integral functional in the whole BD space.

首先我们考虑LD空间满足线性增长的积分泛函的下半连续性；其次在SBD函数空间讨论了被积函数为Carathéodory函数时的积分泛函在满足对称拟凸条件时的下半连续性，主要利用SBD函数空间的紧性定理和blow-up方法以及Morrey定理等给出了积分泛函关于L~1-强收敛的下半连续性；然后利用BD函数的一维截断方法和结构定理，讨论了在BD全空间上的积分泛函的下半连续性。

In this paper, by using the cone theory and mixed monotone iterative technique, the fixed point theorems for a class of mixed monotone multivalued operators in Banach spaces without continuity and compactness are invetigated. The results presented here develop some known ones.

利用锥理论和混合单调迭代序列技术，在不要求任何紧性和连续性的情况下，证明了Banach空间中的一类混合单调集值算子不动点定理，并应用到一阶集值方程中，推广了某些已知结果。

Based on the nonstandard topology definition and enlarged model, the concept of compactness in the topological space are described and characterized in this paper.

在非标准扩大模型和拓扑的非标准定义基础之上，对拓扑空间中紧性的概念及相关结论进行了描述和刻画。

Results The male patients tended to easily lose their temper, relieve sorrowfulness with alcohol and their work were affected by their diseases, While the marital conditions were bad in the female ones.

结果男性易发脾气、借酒消愁、因病影响工作安排的现象较女性突出，而女性的婚姻状况较紧性明显。

Compactness and the relation between strong convergence and weak* convergence.

紧性以及强收敛和弱收敛之间的关系。

We also study the weighted composition operators between Hardy spaces on the unit ball, as well as between Bergman spaces. Some equivalent conditions that the operators are bounded or compact are given in term of the Carleson type measure.

另外，我们也考虑了单位球上Hardy空间之间及Bergman空间之间的加权复合算子，利用Carleson型测度，给出了有界和紧性的等价条件。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。