一类奇异积分算子的广义逆及其证明  

Proof of Generalized Inverse for A Class of Singular Integral Operators

作　　者：李鸿燕[1] 樊庆端[1] 

机构地区：[1]上海工程技术大学基础教学学院,上海201620

出　　处：《上海工程技术大学学报》2010年第4期317-319,共3页Journal of Shanghai University of Engineering Science

摘　　要：根据开口弧段上奇异积分方程解在端点处的不同要求,选取合适的权函数并构造一类Banach空间及奇异积分算子.讨论了该奇异积分算子的广义逆,为后续开口弧段上奇异积分方程的逼近解法求解提供了基础.According to different requirements of solution at the end points of singular integral equation on an open arc,an appropriate weight function was determined and a class of Banach spaces and singular integral operators was constructed.Discussion of the generalized inverse of the singular integral operator has laid a foundation for future approximate solutions of singular integral equations on an open arc.

关 键 词：奇异积分算子 广义逆 Hlder条件 

分 类 号：O175[理学—数学]