积分算子

The author proves theorem on contracting maps for halfmetric space and the existance of solution and the Continuousness of integral operator integral equation in Orlica space.

证明了半度量空间中的压缩映像原理，并应用其证明了Orlica空间中一类积分方程解的存在性及积分算子的连续性。

Few nontrivial multiple integrals expressible in terms of simple analytic formulas are known.

归纳积分算子的迭核的过程中，多重积分在特殊迭核的情况下被表示为单积分。

In addition,we also discuss the boundedness results for a class of multilinear commutators generated by fractional integral operators and BMOfunctions on MK_~.

在MK_~上的有界性，同时还讨论了一类由分数次积分算子与BMO函数所生成的多线性交换子在MK_~上的有界性结果。

This paper gives the boundedness of the commutator on some spaces, where b belongs to BMO, T is the generalized fractional integral operator.

本文主要讨论了广义分数次积分算子交换子在一些空间中的有界性问题。

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。

The conclusion derived from the comparison between the two methods is useful to the integral operator solution .

积分算子解法是求解粘弹性问题的一种重要的解析方法，推演材料的积分型本构方程是此种求解方法的重要步骤。

To adjust the trust value, we adopt the Proportional operator and Integral operator. The simulation experiments show that agent can provide valuable information to the user. The global performance under distributed mode can reach the 73 percent of the global performance under centralized mode with perfect information. As the time goes on, the agent can adapt to the user's need gradually.

的分布式合作信息推荐的性能，Agent之间基于信任联系进行合作，采用控制理论中的比例算子和积分算子进行局部信任调整，实验表明，分布式信息推荐的质量达到了信息完备状态下集中式全局最优的73％，随时间变化，系统性能的逐渐优化也体现了算法的学习能力和适应性。

By applying a fixed pointed theorem for condesing maps, the sufficient conditions of controllability are given. This method is based on integral expression of solutions, the problem can be converted info fixed point problem of single-valued integral operators.

利用凝聚映射的不动点定理给出了一类发展包含的可控性的充分条件，处理问题的方法是基于解的积分表示，将所讨论的问题转化为集值积分算子的不动点问题。

About the commutators of singular integral operators on the spaces of L~R~

奇异积分算子的交换子在L~p空间的有界性一直是调和分析研究的重要问题。R。

The first part is to discuss the solvability of Volterra-Stieltjes integral equations.

积分算子理论和积分方程是非线性泛函分析中的一个重要分支。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。