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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。

This information flow model satisfies the characteristics of finite lattice and least upper bound operator in existing literature. It is reasonable and safe, and it is an expansion of information flow model based on BLP Model.

经严格的数学证明,这个模型满足已有文献的有限格和最小上界运算符性质,是合理和安全的,它是基于BLP信息流模型的一个扩展。

Chapter 3 is devoted to equistability and equiboundedness of matrix differential equations by making use of the symbol property of the matrix Liapunov function and its Dini derivate on specific set.

第三章研究了矩阵微分方程的渐近行为,给出了直接运用矩阵Liapunov函数在某特定集合上的符号与其广义Dini导数符号的性质研究矩阵微分方程的稳定性和有界性。

In the meanwhile,we also establish the boundedness results of the higher order commutators generated by Hardy-Littlewood maximal operator with rough kernels and corresponding fractional maximal operator with rough kernels on MK_~.

同时还建立了Hardy-Littlewood极大粗糙算子和相应的分数次极大粗糙算子所生成的高阶交换子在MK_~上的有界性。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射,并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

Note on relation of seminorm and norm in vector space;2. The functional representation of some seminorms such as the continuous seminorms, the beundedseminorms and the lower semicontinuous seminorms are given out.

给出了局部凸空间上连续半范数,有界半范数和下半连续半范数等的泛函表示,应用这些表示定理,我们得到了Banach-Mackey空间的一个全局特征和囿空间的对偶特征,最后还给出了局部凸空间理论中一些重要定理的简化证明。

These appearances including V-style rabbet, advent of bounded weak echo region, stronger wind vertical shear and phenomenon of airflow convergence in radar precipitation echoes were all typical characteristics of strong convective weather echoes.

雷达回波上的"V"形槽口、有界弱回波的出现、较强的垂直风切变以及气流辐合现象,均为强对流天气回波的典型特征。

For a new kind of linear chaotic operator, one class of nonwande-ring operators (invertible and bounded linear nonwandering operators) are studied, and their invariance under small perturbation in finite dimensional separable Banach Space is proved.

对于一种新型的线性混沌算子―非游荡算子,研究Banach空间上的一类特殊非游荡算子―可逆线性有界非游荡算子,证明它的小扰动下的不变性。

Along with the developing of the molecole characterization of the weighted Herz type Hardy space, the study of the singular integral operator get a plentiful harvest.

本文首先解决了加权Herz型Hardy空间的分子刻画,作为应用,给出了强奇异积分算子T_b在加权Herz型Hardy空间上的有界性的证明。

In chapter 3, we establish some partial differential inequalities on bounded starlike circlar domains and the unit ball of Banach norm in C〓. Then by using these inequalities, we can get two sufficient conditions for almost starlike mappings of order α.

第三章通过在C〓中的有界星形圆形域和复Banach范数之下的单位球上建立一些微分不等式,给出了α次的殆星映射的两个充分判别条件。

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