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In Chapter 2,we obtain some boundedness results on MK_~for a class of higher order commutators T_~m and M_~m generated by fractional integral operators T_l and maximal fractional integral operators M_l with function bin BMOrespectively.

第二章得到了一类由分数次积分算子及分数次极大算子分别和BMO函数生成的高阶交换子T_~m及M_~m在MK_~上的有界性结果。

In this paper, based on an optimum difference operator for spatial differential given by Holberg, an optimum difference method of modeling crosswell elastic wavefield is put forward, which adopts the staggered-grid technique and calculates the wavefield at different grid points. When the half length of optimum difference operator is taken as four to six points, the required number of grid points per wavelength equals to three, crosshole elastic wavefield numerical modeling can attain satisfied accuracy.

本文以Holberg提出的一种空间微分的最佳差分算子为基础,采用交错网格技术,提出了一种模拟井间弹性波场的最佳差分法,该方法能在大空间网格点上得到精确的波场值,当最佳差分算子的半长度取4~6个点,每个波长只采3个样点时,井间弹性波场的模拟就可以得到满意的精度,其计算速度比常规有限差分法至少快一个数量级。

To test this program, this study has also solved and analyzed the horologe in some fuze system, and has drawn a satisfactory conclusion.

并且针对本拟和程序,对引信系统保险机构进行了解算,分析了解算结果,得到了满意的结论。

By spectral analysis of the system, we find that 0 is the uniquespectral point of system on the imaginary axis.

同时通过研究系统算子的谱特征,证明了系统算子的谱点均位于复平面的左半平面且虚轴上除0外无谱,进而得到系统的渐近稳定性,特别在范数意义下系统的动态解收敛到稳态解。

In this article, we study the solutions of several operator equations and the stability of operator equations and inequalities.

本文研究了几类算子方程的解与算子方程和不等式的稳定性问题。

In chapter 5, using the method of the spectral theory of operators, we consider condition under which the infimum A∧B exists for two quantum effects A and B.

第五章用算子谱理论的方法和算子分块技巧,研究了Hilbert空间上两个效应的下确界问题。

For self-adjoint operators A and B, we show that there exists A∧_G B and establish the explicit representation of A∧_G B, where A∧_G B denotes the infimum of A and B associated with the Gudder order.

本文共分为三章,各章的主要内容如下:第一章通过空间分解和算子分块,研究了Hilbert空间上自伴算子关于Gudder序的确界性质。

For the analysis properties of infinite matrix,first,it establishes the automatic conti-nuity theorems on the sequence spaces with 0-GHP or WGHP,and the automaticboundedness theorem on the sequence spaces with 0-GHP.

在无穷矩阵的分析性质方面,建立了具有0-GHP或具有WGHP的矢值序列空间上无穷矩阵算子的自连续性定理,以及具有0-GHP矢值序列空间上无穷矩阵算子的自有界性定理。

Furthermore,inspired by〓and the study of compactness in chapter four,wediscuss the boundedness and compactness of integral operator〓.

受〓及第四章关于紧算子的研究的启发,本章还讨论了积分算子〓的有界性和紧性。

We analyze the application range of conventional matching filter in timelapse seismic crossequalization. The result indicates that this method can work very well when the inverse operator of the filter is the minimum phase.

分析了用于时移地震互均衡处理中的传统匹配滤波算法适用范围,结果表明该方法在滤波算子的反算子为最小相位时效果最好。

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