一类核密度含高阶奇性Cauchy型积分的边值定理  

A KIND OF BOUNDARY VALUE THEOREMS FOR CAUCHY TYPE INTEGRALS POSSESSING KERNEL DENSITY WITH SINGULARITIES OF HIGH ORDER

作　　者：钟寿国[1] 

机构地区：[1]武汉大学

出　　处：《数学杂志》1997年第4期569-574,共6页Journal of Mathematics

摘　　要：本文推广［１］，［６］中的结果。讨论一类开口弧核密度含高阶奇性（包括高整数、高分数甚至高复数阶）且情形更一般的Ｃａｕｃｈｙ型积分的边值定理、积分号下求导及Ｈ连续性。In this paper, we discuss a kind of boundary value theorems for Cauchy type integrals on an open arc possessing kernel density with high sigularities(including high integral order, high fractional order or high complex order), their rule of differentiation under integral sign and their H continuity.

关 键 词：边值定理 奇异积分 柯西积分 核密度 积分方程 

分 类 号：O172.2[理学—数学] O175.5[理学—基础数学]