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一类核密度含高阶奇性Cauchy型积分的边值定理
引用本文:钟寿国.一类核密度含高阶奇性Cauchy型积分的边值定理[J].数学杂志,1997,17(4):569-574.
作者姓名:钟寿国
作者单位:武汉大学
摘    要:本文推广「1」,「6」中的结果,讨论了一类开口弧核密度含高阶奇且情形更一般的Cauchy型积分的边值定理,积分号下求导及H连续性。

关 键 词:边值定理  奇异积分  柯西积分  核密度  积分方程

A KIND OF BOUNDARY VALUE THEOREMS FOR CAUCHY TYPE INTEGRALS POSSESSING KERNEL DENSITY WITH SINGULARITIES OF HIGH ORDER
Zhong Shouguo.A KIND OF BOUNDARY VALUE THEOREMS FOR CAUCHY TYPE INTEGRALS POSSESSING KERNEL DENSITY WITH SINGULARITIES OF HIGH ORDER[J].Journal of Mathematics,1997,17(4):569-574.
Authors:Zhong Shouguo
Abstract: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.
Keywords:boundary value theorem  singular integral of high order  H continuity
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