齐性空间

In the third chapter, based on the second chapter, we will study the boundedness of fractional intergral operator and maximal fractional operator with rough kernal on the weighted Herz-Morrey space.

在第三章中，我们研究了加权齐次Herz-Morrey空间MK_~(ω_1，ω_2)上另一类算子带粗糙核的分数次极大算子和分数次积分算子的有界性问题。

The researchers in the past only considered the existence conditions of the spatially homogeneous periodic solutions of the kind of models, and regarding the delay or the diffusion rate as a bifurcation parameter, the existence conditions of Hopf bifurcation, and the direction of Hopf bifurcation with Neumann boundary condition.

以前的研究者只讨论了此类系统的空间齐次周期解的存在性条件，或是以时滞，或扩散系数为分支参数的Hopf分支存在的条件，以及Neumann边界条件下此类系统的Hopf分支方向。

In chapter 4, using a space discretization and employing the method of induction, we prove that there exists a unique global regular solution for homogeneous Neumann boundary value problem of one-dimensional Landau-Lifshitz equation.

第四章，首先我们利用空间半离散方法及先验估计得到了一维Landau-Lifshitz方程齐次Neumann边值问题局部正则解的存在性，继而在整体先验估计的基础上证明了整体正则解的存在性与唯一性。

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。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。