摘要
利用两个复超球拓扑积上的h型积分及复合奇异算子之间的关系,研究了在两个复超球拓扑积域特征流形上的含有Cauchy核的奇异积分方程,并讨论了方程的一些例外情形以及与之等价的一类具有常系数的奇异积分方程.
This paper studies the singular integral equations with Cauchy kernel on the characteristic manifold of two complex hyper-sphere topological product domains by using h-type integral and the relation between composition singular integral operators on the hyper-sphere topological product domains. The exceptional case of this equation and the singular integral equations with constant coefficient equivalent to the equations with cauchy kernel are also discussed in this paper.
出处
《许昌学院学报》
CAS
2009年第5期14-17,共4页
Journal of Xuchang University
关键词
超球拓扑积
CAUCHY核
奇异积分方程
hyper-sphere topological product
Cauchy kernel
singular integral equations
