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

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.