复超球上的一种奇异积分的定义  

A KIND OF DEFINITION OF SINGULOR INTEGRALS ON SURFACE OF COMPLEX BALL

作　　者：殷承元[1] 

机构地区：[1]安徽大学

出　　处：《数学杂志》1995年第4期415-420,共6页Journal of Mathematics

摘　　要：本文将给出Ｃ￣ｎ中复超球面上的一种新的奇异积分的定义，井给出相应的ｐｌｅｍｅｌｊ公式以及有关性质。n this paper,a kind of definition of Singular integral on surface of ball in C￣n is given.Then several results are obtained. Definition Let s be surface of Unit ball and B unit ball in C￣n,f(t)function on S,where t_0∈S,and Suppose一л<argt_0t￣’≤л. If limitation of(*)exists,L_2 (f)is calledsingular integral at t_0 of function f(t). Main conclusion is following.Theorem Suppose f(t)is in Lipa(0<a。≤1)on S.Thenis holomorphic function in B ,and for arbitrary t_0∈s,its boundary Value denoted by F￣+(t_0)in sense of K-limitation can be represented bywhere ω is volume of S.

关 键 词：单复变函数 复超球 奇异积分 

分 类 号：O174.51[理学—数学]