First, we give a module estimation of the singular integral with a differential element. Then by proving the existences of Cauchy principal value we obtain the transformation formula of the Cauchy-type singular integr...First, we give a module estimation of the singular integral with a differential element. Then by proving the existences of Cauchy principal value we obtain the transformation formula of the Cauchy-type singular integrals with a parameter.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No. 10801043)the Natural Science Foundation of Hebei Province (Grant No. A2010000346)the Foundation of Hebei University of Science and Technology (Grant No. QD201028)
文摘First, we give a module estimation of the singular integral with a differential element. Then by proving the existences of Cauchy principal value we obtain the transformation formula of the Cauchy-type singular integrals with a parameter.
