查询词典 vector valued function

In Chapter 5, we study composition operators on some vector-valued analytic function spaces.

第五章研究了向量值解析函数空间上的复合算子。

It is necessary to point out that our results not only extend the classical results of composition operators C〓 on Hardy spaces, Bergman space, Dirichlet space and Nevanlinna class, but also expand composition operator C〓 to sequence {C〓} or C〓C〓 and C〓C〓, and expand basic spaces to the vector-valued analytic function spaces, etc.

应该指出的是，本文不仅涵盖了经典Hardy空间、Bergman空间、Dirichlet空间、Nevanlinna类上复合算子C〓的原有结果，而且进一步弄清了不同空间之间的复合算子的性质，同时扩展了单个复合算子C〓至复合算子序列{C〓}及乘积算子C〓C〓与C〓C〓的情况，基本空间扩展至向量值解析函数空间的情形等等。

Iii By using the well-known properties of the dela vallee-poussin summability kernels and the pass principle of weakly compact operator, we study the weak compactness of C〓 on vector-valued analytic function spaces H〓, B〓, N and N〓, establish some connections between the weak compactness of composition operators and the structure properties of Banach spaces. These generalize and unify the corresponding results in the scalar-valued setting and enrich the content of the study of composition operator in another way.

第三，利用著名的de la Vallee-poussin可和核及有关算子的弱紧性的传递原理给出了向量值解析函数空间H〓、B〓、N及N〓上的复合算子的弱紧性的刻画，建立了复合算子的弱紧性与Banach空间的结构性质之间的联系，统一和推广了对应的数量值解析函数空间上的复合算子的弱紧性，这从另一种途径极大地丰富了复合算子的研究内容。

Based on this reformulation, we first give the conditions under which the stationary point of unconstrained optimization problem is a solution of GNCP, and then give the conditions under which Hessian matrix of vector-valued function is nonsingular.

基于此转化形式，我们首先研究优化问题的稳定点为GNCP问题解的充分条件，然后建立无约束优化问题的向量价值函数的Hessian矩阵非奇异的充分条件。

In order to study vector-valued optimization problem, in chapter 5, a class of vector -valued function, that is, uniformly same-order set-valued function is introduced , which includes the separated functions as its proper subset; without hypothesis of convexity, new minimax theorem and saddle point theorem for uniformly same-order set-valued function are established. Next, by employing Ky Fan\'s lemma and H-KKM mapping , several existence results for generalized vector equilibrium problem established.

为了研究向量优化问题，作为可分函数的推广，第五章引入了一致同阶集值函数类，在没有凸性条件的假设下，对一致同阶集值函数建立了新的极小极大定理与鞍点存在定理；利用H-KKM映射，对一般向量均衡问题建立了(来源：A73BcbC论文网www.abclunwen.com)几个存在性定理；最后讨论了集值向量均衡问题系统，利用集值映射的拟凸性，在较弱的条件下证明了解的存在性。

Firstly, the generalization of Fan-Ha section theorem and a general vector variational inequality without convexity assumption and minimax theorem of vector-valued function are obtained. Then, the quasi-montone vector variational inequality problem is concerned. Cx-quasi-monotone operator is defined in topological vector space, inner point of a closed convex set K is introduced, the relation between inner point and relative algebraic interior point is given, an existence result for quasi-monotone vector variational inequality is obtained.

第三章主要研究了向量变分不等式和极小极大定理(来源：3282AB83C论文网www.abclunwen.com)，建立了广义的Fan-Ha截口定理、新的向量变分不等式与极小极大定理，并在拓扑向量空间中定义了C_x-拟单调算子，引入了闭凸集K的inner点，给出了inner点与相对代数内点的关系，利用innK_c代替K的拓扑内部，建立了新的拟单调向量变分不等式。

For vector-valued rational interpolating function that we have constructed,we can reduce its number of times by choosing parameters.

对所构造的向量值有理插值函数，还可以通过选择参数降低其分母的次数。

This method of constructing vector-valued rational interpolating function is easy.

其构造方法简单，计算过程公式化，便于在计算机上实现，且计算量较小，有广阔的应用前景。

Vector valued function of the real variable in R2 and R3.

矢量值在R2的实际变量和R3的功能。

The existence and well-posed ness results for a class of perturbed optimization problemsin a Banach space are given, and the relationships between the strict Kolmogorov Criterionand the uniqueness elements of a sun in vector-valued function spaces are established.

本文研究Banach空间中的一类扰动优化问题的适定性和向量值函数空间中太阳集的唯一性元的严格Kolmogorov条件刻划。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。