积分算子核

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 the first chapter, we firstly introduce the properties of weighted Herz spaces, then we establish the boundedness of fractional integral operators and maximal fractional operator with rough kernal on the weighted Herz spaces.

在第一章中，我们将先讨论加权Herz空间上的一些性质，再研究其上面的一类带有粗糙核的分数次极大算子和分数次积分算子的有界性。

This new kind controller contains an integral operator called kernel function.

这种新型的Backstepping控制器包含一个积分算子，称为变换核函数。

In chapter 2, we consider the boundedness of the Marcinkiewicz integral operator with rough kernel on the weighted Herz spaces .

在第二章中，我们考虑了带有粗糙核的Marcinkiewicz积分算子在加权Herz空间上的有界性。

In this paper,we consider the Marcinkiewicz integral with rough kernel and prove that is bounded on the weighted Herz space s under certain sufficient conditions.

讨论了一类带有粗糙核的Marcinkiewicz积分算子在加权Herz空间上的有界性。

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。

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。

With degenerate approximations to the oneway LippmannSchwinger integral equation, we study a category of wideangle degenerate migrators that permit the implementation of seismic migration using fast Fourier transforms alone.

通过对LippmannSchwinger单程波动积分方程的退化核逼近，本文研究了一类宽角退化算子的偏移成像。

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。