查询词典 almost bounded function

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中，对于H_0~1中的有界线性算子，用微分算子插值样条函数的方法给出了H_0~1空间中的再生核，利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式，并证明了其收敛性。

Let X be a real Banach space with strictly convex dual space X(superscript *) and G a bounded, open subset of X. T: DX→2 is a m-accretive operator, C: D→X is bounded operator.

设X是一个实Banach空间，X为其对偶空间，G是X的开、有界子集。T：DX→2是m-增生算子，C：D→X是有界算子。

A new particle swarm optimization, PSO with bounded mutation operator, was developed. In contrast to the original PSO, in this algorithm, PSO with bounded mutation operator would make the particles redistributed cquably close to boundary when place of particle exceeds feasible region during iteration.

提出了一种新的粒子群优化算法——带边界变异的PSO，其原理是：在迭代的过程中，当粒子的位置超出可行域时，带边界变异的PSO让粒子的位置重新均匀分布在边界附近；当粒子的速度超出可行域时，则使其均匀分布到整个可行区间，而不是像原始PS0那样在这2种情况下都只是简单地取边界值。

It includes all totally bounded sets and many sets which are not totally bounded in the sequence space.

它包括了该序列空间的全部全有界集及许多非全有界集。

Finally,we deal with the stability problem of the Bergman kernel,i.e.,do theBergman kernels of〓converge to the Bergman kernel of D on compact subsets of〓where〓is a sequence of bounded domains converges to a bounded domainD in the sense of Boas?

最后我们研究Bergman核的稳定性问题，即，若一列有界域〓按Boas意义下收敛于一个有界域D，是否有〓的Bergman核在〓上局部一致地收敛到D上的Bergman核？

Finally, we deal with the stability problem of the Bergman kernel, i.e., do the Bergman kernels of D_k. converge to the Bergman kernel of D on compact subsets of D × D where D_k i-s a sequence of bounded domains converges to a bounded domain D in the sense of Boas?

最后我们研究Bergman核的稳定性问题，即，若一列有界域D_k按Boas意义下收敛于一个有界域D，是否有D_k的Bergman核在D×D上局部一致地收敛到D上的Bergman核？

Let D be a bounded domain with C(1) boundary in Cn . The authors use the locally finite open coverring of the countable strictly pseudoconvex to define a new partitions of unity of σpoint finite local holomorphic , constructed a generalized Cauchy integral formula with discrete local holomorphic kernel on the bounded domain D and applied it to solving the 52equation.

设D 是Cn 空间中具有C(1)边界5D 的有界域，本文利用D 上一个局部有限的可数强拟凸开复盖，定义了D上一个新的局部全纯的σ点有限的单位分解，建立了D上一个更一般的具有离散局部全纯核的Cauchy积分公式并获得D 上52 方程的具有离散核的解的积分表示。

We will prove that the only compact dual Toeplitz operator is the zero operator, and that a densely defined dual Toeplitz operator with square integrable symbol is bounded if and only if its symbol is essentially bounded.

首先，我们证明了只有零算子是紧的对偶Toeplitz算子，同时给出了以平方可积函数为符号稠定义的对偶Toeplitz算子有界当且仅当它的符号函数是本性有界的。

In this paper,with the aid of the w~*- sequential compactness of bounded closed balls in the conjugate space of a separable space,we proved that the convex hull of a finite union of bounded closed balls in l~∞ is closed.

借助可分空间的共轭空间中有界闭球的弱星序列紧性，证明在无穷维数列空间l∞中有限个闭球之并的凸包仍为闭集

H-2: The measurable set-valued mapping F : X - CC is -bounded (n+1)-lower semicontinuos where X is a closed, bounded and convex subset of a n-dimension Bana...

的。 H-3：X是1-维赋范线性空间中的有界闭凸子集，可测集值映射F：X→C_c是2-下半连续的(2-l.s.c。)。

I can do simple painting, carpentry and plumbing.

我能做简单的油漆、木工和修水管等工作。

The motivations, notations and outline of this work are also given in this chapter.

从这个意义上讲，这些时滞是无害的。然后用实例说明这三个定理的应用和互不包含性。