复双球垒域上具有K-极限的Plemelj公式

Plemelj Formula with K limit on a Building Domain of Complex Biballs

利用更一般的“椭圆”挖法定义了复双球垒域边界上的奇异积分的Ｃａｕｃｈｙ主值，并获得相应的具有Ｋ－极限的Ｃａｕｃｈｙ型积分含边界上点的立体角系数α（ｔ）的Ｐｌｅｍｅｌｊ公式．

In this paper, the authors extend the definition of the Cauchy principal value on the boundary of a building domain of complex biballs, if the neighborhood of the singular point t is taken al 'ellipse', and, thus, the authors obstain a more general Plemelj formula for with k limit, which involves a solid angle coefficient α(t) at the point t ∈ D .