复双球垒域上Cauchy型积分的边界性质  

Boundary Behavior for the Integrals of Cauchy Type on a Building Domain of Complex Biballs

作　　者：林良裕[1] 邱春晖[1] 阮其华 

机构地区：[1]厦门大学数学系

出　　处：《厦门大学学报（自然科学版）》1998年第3期318-322,共5页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金;福建省自然科学基金

摘　　要：在Ｃｎ空间中双球垒域上，建立具有全纯核的Ｃａｕｃｈｙ型积分的含有边界立体角系数的Сохоцкиǔ－Ｐｌｅｍｅｌｊ公式．Let D be a building domain of complex biballs in C n, L * be a function set which satisfies Lipschizt condition on D and can be continuously extended to D such that f∈C (1) (D) for all f∈L  , the author defines a kind of the integral F(z) of Cauchy type with finite discrete holomorphic kernels Ω and establishes a more general Coxoкduǔ Plemelj formula which involves a solid angle coefficient α(t) at the point t∈D, i.e. F +(t)= V.P ∫ D fΩ+(1-α(t))f(t),0<α(t)<1. In particular, α(t)=12, for t is a smooth point of D.

关 键 词：双球垒域 柯西型积分 边界性质 多复变数 

分 类 号：O174.56[理学—数学]