特别的，我们得到了分数次积分算子的有界性。
As special cases, we obtain the boundedness of fractional operators.
本文研究带有齐性核的奇异积分算子与BMO函数的交换子。
The commutator generated by BMO functions and singular integral operators with homogeneous kernel is studied.
主要研究一类积分算子的性质，并给出了该算子的凸阶估计。
This paper mainly considers a class of integral operators preserving certain geometric properties, and obtains its estimate of convex rank.
叙述了采用积分算子解法时弹性解与粘弹性解之间的对应关系；
The paper introduces the correspondence principle between elastic solution and viscoelastic solution when adopting integral operator solution;
引入了一类广义指数型积分算子，称其为混合指数型积分算子。
A general exponential type integral operator, called mixed exponential type integral operator, is introduced, and the properties of this type of integral operator are studied.
本文利用射影算子、积分算子、乘法算子来证明各种谱的存在性。
In this article, the existence possibility of various spectra is proved with projector operator, integral operator and multiplication operator.
特别地，证明了这两个子类的几个包含关系、积分算子和卷积性质。
In particular, several inclusion relations, integral operators and convolution properties for each of these function classes are proven.
证明了变量替换映射是一个具广义亚椭园性的适的富里叶积分算子。
It is proved that the substitituon mapping is a proper Fourier integral operator with generalized hypoellipticity.
众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.
与微分算子及其逆算子积分算子作比较，讨论了差分算子及其逆算子(和分)。
In comparison with the differential operator and its inverse - integral operator, the difference operator and its inverse (sum operator) are discussed in this paper.
讨论了解析函数子族的积分变换，相应地给出了一类近于凸积分算子的某些结果。
In this paper, integral transforms of functions belong tot he class are investigated, some results of a close to convex integral operator are given as well.
在欧氏测度下 ，应用R L分数阶微积分算子理论给出了上述问题的精确解 。
Under the Euclidean measure, the analytical solutions to the above problem are obtained by employing the Riemann Liouville fractional calculus theory.
给出矩形域上弱奇异积分算子本征值问题分片零次多项式配置法的后验误差估计式。
The posteriori error estimators in the collocation method for integral equation eigenvalue problem with a weakly singular kernel are presented.
提取外边界时采用环量积分算子，将环量线积分改进为微小圆环的面积分，克服了噪声影响。
We changed the curvilinear integral to surface integral in the thin ring around the curve so that the influence of the noise can be decreased.
用积分算子求解法 ，得到了具有反射边界条件的、含控制参数的抽象动力方程边值问题的解。
The conclusion derived from the comparison between the two methods is useful to the integral operator solution.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
作者得到了粗糙核分数次积分算子的两权弱型不等式，推广了Cruz-Uribe和Perez的结果。
The authors give the two-weight weak-type inequality for the rough fractional integral operator, which is an extension of result obtained by Cruz-Uribe and Perez.
用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。
By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper.
用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。
By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper.
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