Stein流形具有非光滑边界强拟凸域上Koppelman-Leray-Norguet公式的拓广式  

The Extensional Formula of Koppelman-Leray-Norguet Formula for a Strictly Pseudoconvex Domain with Non-smooth Boundary on Stein Manifolds

作　　者：李志伟[1] 陈特清[2] 

机构地区：[1]泉州师范学院数学系,福建泉州362000 [2]厦门大学数学科学学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2008年第5期630-634,共5页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(10771144)资助

摘　　要：利用Hermitian度量和陈联络,构造拓广的不变积分核,借助Stokes公式,探究Stein流形中具有非光滑边界强拟凸域上Koppelman-Leray-Norguet公式的拓广式及其-方程的连续解,其特点是不含边界积分,从而避免了边界积分的复杂估计,另外该拓广式的特点是含有可供选择的实参数m,m=2,3,…,P(P<+∞),适用范围更加广泛.By meams of Hermitian metric,Chern connection,and using Stokes＂ formula,this paper constructed an extended invariant integral kernel,to study the extensional formula of Koppelman-Leray-Norguet formula. We obtain a continuous solution of 3-equation for a strictly pseudoconvex domain with non-smooth boundary on Stein manifolds, which doesn＇t involve integral on boundary. Thus we can avoid the complexity estimations of the boundary integrals. Furthermore, there is a real parameter m,m= 2,3,… P（P〈＋∞） ,which can be chosen freely in this extensional formula, and its range of application becomes wider.

关 键 词：STEIN流形 强拟凸域 非光滑边界 Koppelman—Leray—Norgtuet公式 δ-方程 

分 类 号：O174.56[理学—数学]