多复变量的黎曼边值问题

The Riemann boundary value problem in several complex variables

利用Bochner-Martinelli型积分为工具,讨论Cn空间中具有逐块C(1)闭光滑边界流形的单连通区域D的黎曼边值问题,并在L*空间中给出了黎曼边值问题的唯一解．对此问题的特征之一是其边界系数不出现指标．

In this paper, by using the tools of the integral of the Bochner-Martinlli type to study the Riemann boundary value problem on the simply connected domain D with closed piecewise C^（1） smooth boundaries in C^（1） space, the author gives a unique solution to the problem in L^＊ space. One of the features of the problem is that its boundary coefficient does not produce an index.