查询词典 fractional integral

Subsequently,Bihari\'s inequality is generalized to the equation with fractional integral kernel.With the help of the new inequality,we further weaken the condition on equations with special integral kernels,and obtain the corresponding results.

然后，将Bihari不等式推广至具有分式积分核的情形，利用新的不等式对具有特殊积分核的方程条件做了进一步减弱，建立了相应的存在唯一性和正则性结论。

A new numerical method for the fractional integral that only stores parthistory data is presented,and its discretization error is estimated.

提出了一种只需要存储部分历史数据的分数积分的数值计算方法，并给出了误差估计。

The method can beused to solve the integro-differential equation included fractional integral orfractional derivative in a long history and the difficulty of storing all history data isovercome and the error can be controlled.Two numerical examples are presented.

利用该方法可对包含分数积分和微分的积分-微分方程进行较长时间的数值模拟，克服了存储全部历史数据的困难，并能对计算误差进行控制。

In Chapter 2,we obtain some boundedness results on MK_~for a class of higher order commutators T_~m and M_~m generated by fractional integral operators T_l and maximal fractional integral operators M_l with function bin BMOrespectively.

第二章得到了一类由分数次积分算子及分数次极大算子分别和BMO函数生成的高阶交换子T_~m及M_~m在MK_~上的有界性结果。

In this paper,we study the boundedness of multilinear commutators of singular integral operators and fractional integral operators with smooth functions.

本文主要研究奇异积分算子和分数次积分算子与光滑函数生成的多线性交换子的有界性问题。

In chapter 1,we simply introduce the development in the study of the boundedness of multilinear commutators of singular integral operators and fractional integral operators.

第2章讨论奇异积分算子和分数次积分算子与Besov函数生成的交换子在L~d上的映射性质。

Fractional integral is an essential branch of fractal theory. In this paper, the authors adopted fractional integral in the evaluation of time series dimension, which has a higher accuracy than other methods such as box dimension, gauge method and so on.

分数阶积分是分形理论的一个重要分支，应用分数阶积分进行时间序列维数估计，其精度比box维数、量规法等方法高。

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。

In chapter 3,we investigate the boundedness of multilinear commutators of singular integral operators and fractional integral operators with Lipschitz functions on the Hardy-type spaces.

本章我们得到了和在L~p，Hardy型空间H_~p和Herz型Hardy空间H_q，

Since the commutators of both sing-ular integral operators and fractional integral operator with BMO functions areone of the special cases of〓,so the discussion of the boundedness of〓notonly gives a new proof of the boundedness of the two commutators,but al-soweakens some of restrictions into discuss the problem,thus it impro-vessome of results inwith the method of complex analysis,show-ed boundedness of〓,then directly obtained boundedness of the commutato-rs of fractional integral operator with BMO functions.

既然奇异积分算子和分数次积分算子与BMO函数的交换子是其特殊情形，所以〓的有界性的讨论不仅给出了中关于这两类交换子有界性的一个新的证明，而且减弱了中讨论这一问题时对齐型空间所作的限制，从而改进了中的结果（利用复分析的方法，先证明〓的有界性，从而直接得到分数次积分算子与BMO函数的交换子〓的有界性。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。