【摘要】 当E为复平面上有界连通区域且所有已知函数在E上满足Hlder条件,利用共形映射理论,给出了一类沿单位圆的奇异积分与沿单位圆的摄动曲线的奇异积分之间的误差估计,这些估计将在讨论带根号的Hilbert边值问题关于边界曲线的稳定性时得到应用.更多还原

【Abstract】 As all known functions being Hlder continuous in a connected region E,applying the knowledge of conformal mapping theorem,we give some error estimates between a class of singular integrals along the unit circle and along its perturbation curve. These error estimates will be useful in discussing the stability of Hilbert boundary value problem with radical with respect to path of boundary.更多还原