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。
The paper introduces the correspondence principle between elastic solution and viscoelastic solution when adopting integral operator solution;
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；
In this article, the existence possibility of various spectra is proved with projector operator, integral operator and multiplication operator.
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。
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.
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。
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.
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。
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.
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。
In comparison with the differential operator and its inverse - integral operator, the difference operator and its inverse (sum operator) are discussed in this paper.
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)。
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.
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。
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.
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.
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。
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