多复变数的黎曼边值问题  

The Riemann Boundary Value Problem in Several Complex Variables

作　　者：黄玉笙[1] 

机构地区：[1]莆田学院数学与应用数学系,福建莆田351100

出　　处：《莆田学院学报》2005年第2期6-8,共3页Journal of putian University

摘　　要：利用Bochner-Martinelli型积分工具,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。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 Bochner-Martinelli type to study the Riemann boundary value problem on the simply connected domain with closed piecewise smooth boundaries in Cn space, the author gives unique solution of the problem in L* space. One of the features of the problem is that its boundary coefficient doesn't produce an index.

关 键 词：黎曼边值问题 多复变数 单连通区域 C^N空间 光滑边界 唯一解 积分 流形 

分 类 号：O175.8[理学—数学] O174.56[理学—基础数学]