C^n中的线性奇异积分方程组

System for the Linear Singular Integral Equations in C^n

利用算子解法证明了闭光滑流形上具有Bochner-Martinelli 核全纯系数的多复变数的线性奇异积分方程组在 Holder连续函数类中存在唯一解,并讨论了引进参数的相应奇异积分方程组。

For the system of singular linear integral equations and Correlate aquations of several complex veriables with Bochner-Martinelli kernel and holomorphic coefficient functions on aclosed smooth manifold, by means of operator solution method . it is proved that there exist an unique system of operator solutions in the Holder continous class. Moreover, the Fredholm operatorparameter λis introduced and studied for the above equations.