The Stability Of The Cauchy Singular Integrals And Analytic Functions, Boundary Value Problems On The Ahlfors Curve

We give our paper in three partitions and every partition is connected with a different research region. The stability of Cauchy singular integral when the integral curve has a smooth perturbation is discussed in our first partition; we apply some results of the first partition to the second partition and solve the stability of the solution to the Cauchy singular integral equation. Finally, on the basis of the stability of the Cauchy type integral, we study the stability of the solution to the Riemann boundary value problem when the contour perturbs smoothly.