查询词典 boundedness

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。

From the proof of the m-ain theorem it follows that we replace fractional integral〓in the definition of〓by equal operator I and obtain the boundedness of〓on〓(1＜p＜∞),so we generalize some of results in.

从主要结果的证明可知〓的定义中可用恒等算子取代〓而得到〓从〓到〓有界〓，从而推广了中的结论。

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。

Property 1 (Boundedness and max-min theorem) Let be a continuous function of several variables on a closed region D, then has an absolute maximum and an absolute minimum on the region.

性质1（有界性与最大值最小值定理）在有界闭区域D上的多元留恋许函数，必定在D上有界且一定能取得它的最大值和最小值。

By the Lyapunov functional method and linear matrix inequality technique, the sufficient conditions of finite time boundedness for the singular system via state feedback controller were provided.

利用Lyapunov泛函方法和线性矩阵不等式工具，给出了不确定奇异系统经由状态反馈的有限时间有界的充分条件。

We also take boundedness as a very important feature in Langackers classification of CHARACTER, which is perfective/imperfective.

除了其定义中所提到的变化这一概念，我们认为界限这个特征在他的分类中起了重要的作用。

The integral inequality is a useful tool when we study the stability theory of differential equation, especially when we study the stability, the estimate of solution and the boundedness of differential equation.

在研究微分方程稳定性理论中，尤其在探讨微分方程的稳定性，解的估计及有界性的过程中，积分不等式是一强有力的工具。

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation. In part I, a group of sufficient conditions is given on continuation of solutions and three groups of sufficient conditions are given on boundedness of solutuicns of equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式，研究一类二阶非线性泛函微分方程解的渐近性态，在第一部份，给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

In chapter 1, we introduce the definitions of area integral S_β and invariant g-function on unit sphere, and study their boundedness on BMO and non-isotropic Lipschitz spaces.

共分三章，第一章引进了C~n单位球面上的面积积分和不变g函数，研究它们在BMO空间以及non-isotropic Lipschitz空间上的有界性问题。

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。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。