交换子

Ringel realized positive parts of semisimple Lie algebras in the framework of Ringel-Hall algebras. The main result of this thesis is to build a geometric and topological model over triangulated categories such as derived categories and stable module categories of repetitive algebras. We defines a Lie bracket by Euler characteristics of constructible subsets and thus realizes infinite dimensional Lie algebras of various types with non-degenerated bilinear form.

本文的主要结果是在导出范畴和重复代数的稳定模范畴等三角范畴水平上建立相应的几何-拓扑模型，并利用相应可构集的欧拉示性数定义了一个Hall代数的交换子乘法，从而在三角范畴水平上实现了一大类无限维李代数的整体构造，并且这类李代数本质上都具有非退化的不变双线性型。

In addition,we also discuss the boundedness results for a class of multilinear commutators generated by fractional integral operators and BMOfunctions on MK_~.

在MK_~上的有界性，同时还讨论了一类由分数次积分算子与BMO函数所生成的多线性交换子在MK_~上的有界性结果。

This paper gives the boundedness of the commutator on some spaces, where b belongs to BMO, T is the generalized fractional integral operator.

本文主要讨论了广义分数次积分算子交换子在一些空间中的有界性问题。

Basing on thesingular integral operators T with weaker kernel introduced in chapter two,westudy the weighted boundedness on〓(1＜p＜∞)and the endpoint estima-tes of their higher order commutators with BMO functions in chapter three.

对第二章引入的弱核奇异积分算子，第三章主要讨论它们与BMO函数的高阶交换子〓在〓上的有界性及端点估计。

About the commutators of singular integral operators on the spaces of L~R~

奇异积分算子的交换子在L~p空间的有界性一直是调和分析研究的重要问题。R。

Coifman etc proved that the commutator T_f = f = T -bT is bounded on Lp if and only if b BMO, where T is a classical singular integral operator.

Coifman等人得到了交换子T_bf=f=T-bT在L~p(1＜p＜∞)上有界当且仅当b∈BMO，其中T是经典的奇异积分算子。C。

Coifman〓etc first proved that the comutator〓is bo-unded on〓if and only if b∈BMO,where T is a classical singular integr-al operator.

在〓上，Coifman等〓首先得到交换子〓上有界当且仅当〓，其中T是经典奇异积分算子。

The commutators are generated by sublinear operator with rough kernels and BMOfunctions.

这些交换子是由BMO函数和具有粗糙核的次线性算子生成的。

In Chapter 5,we obtain a boundedness results of commutators of convolution opera-tors on MK_~according to the corresponding boundedness of the sublinear operators on the homogeneous Morrey-Herz spaces.

第五章通过次线性算子在齐次Morrey-Herz空间上的有界性导出了一个卷积型交换子在MK_~上有界的结果。

The core of this thesis,which consists of the five chapters,discusses mainly the bound-edness on the homogeneous Morrey-Herz spacesdenoted by MK_(p,q~for some classes of higher order commutators which are generated by some common linear or sublinear op-erators.

本文共分五章，主要讨论了一些常见线性算子的高阶交换子在齐次Morrey-Herz空间MK_~上的有界性问题。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

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镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。