C^n空间有界域上Cauchy-Leray公式和Cauchy-Fantappiè公式的拓广  

An Extension of Cauchy-Leray Formula and Cauchy-Fantappie Formulas On Bounded Domains In C^n

作　　者：胡琳[1] 刘麦学[2] 

机构地区：[1]南昌大学数学系 [2]洛阳师范学院数学系

出　　处：《洛阳师范学院学报》2006年第2期1-4,共4页Journal of Luoyang Normal University

摘　　要：本文得到Cn中有界域上积分核含有向量函数的Cauchy-Leray和Cauchy-Fantappiè的拓广式,同时还可以得到Cn空间中有界域上全纯函数著名的Cauchy-Fantappiè公式的一种积分核含有向量函数的拓广式,在公式中适当的选取参数,可以得到至今许多区域上光滑函数和全纯函数种种已有积分公式.In this paper, we obtain an extension of Cauchy-Leray formula and Cauchy-Fantappie formula on bounded domains in including vector functions in kernel. At the same time, we also can obtain an extension of Cauchy-Fantappie for regular functions including vector functions in kernel on bounded domains in. By properly choosing the vector functions and the real parameters, we can obtain a kind of known abstract formula and concrete integral formula for smooth and regular functions in many domains.

关 键 词：积分表示 有界域 单位分解 向量函数 

分 类 号：O174.56[理学—数学]