闭光滑流形上具有拓广的Bochner-Martinelli核的奇异积分的置换公式

The Transformation Formula of Singular Integral with Extensional Bochner-Martinelli Kernel on a Closed Smooth Manifold

利用拓广的Bochner Martinelli型积分的Plemelj公式,得到了闭光滑流形上具有拓广的Bochner Martinelli核的奇异积分的置换公式,并且当密度函数可全纯开拓到区域D内时,证明了相应的合成公式.

By means of the Plemelj formula of extensional Bochner-Martinelli type integral, we obtain the transformation formula of singular integral with extensional Bochner-Martinelli kernel on a closed smooth manifold, and give the corresponding composite formula when the density function is holomorphically extended to domain D.