Singular Integral Equations On The Characteristic Manifold Of Two Complex Hyper-sphere Topological Product Domains

In the paper, we define Cauchy integral on the characteristic manifold of twocomplex hyper-sphere topological product domains, we get Cauchy formula andSchwarz integral formula. Then define integrals of B-type and h-type by the Schwarzintegral formula and discuss the limits value of these two integrals on thecharacteristic manifold. We also obtain the composition formula and inversionformula of singular integral and two composition singular integral operators, thendiscuss the relation of these two operators. According to these results, we study thesingular integral equations on the characteristic manifold of two complexhyper-sphere topological product domains.