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(P,n-1)型外微分式的Cauchy型积分
Cauchy Type Integral for Differential Form of Type(p,n-1)
【摘要】 <正> 自[1]以来,已有不少关于多复变数Cauchy型积分的研究,本文对(p,n-1)型外微分式的Cauchy型积分作一探讨。
【Abstract】 In this paper we investigate the Cauchy type integral for differential form of type (p,n-1).We have the following main theorem:Let r be a differential form of type (p,n 1) which is defined on a bounded domain D in Cn,whose coefficients satisfy Holder condition on then singular integralexists for Conchy principal value,where Up,n-1 is the B M-K kerenel.We also obtain J.Plemelj formula and composite formula,using these formulas we discuss the singular integral equation of differential form of type (p,n-1) with B-M-K kernel on D
- 【文献出处】 厦门大学学报(自然科学版) ,Journal of Xiamen University(Natural Science) , 编辑部邮箱 ,1983年04期
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