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.
出处
《厦门大学学报(自然科学版)》
CAS
CSCD
北大核心
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