多复变量的黎曼边值问题  

The Riemann boundary value problem in several complex variables

作　　者：黄玉笙[1] 

机构地区：[1]莆田学院数学系,福建莆田351100

出　　处：《兰州大学学报（自然科学版）》2006年第3期112-114,共3页Journal of Lanzhou University(Natural Sciences)

摘　　要：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.

关 键 词：BOCHNER-MARTINELLI核 RIEMANN边值问题 解 

分 类 号：O174.56[理学—数学]