Some Properties of Cauchy-Type Singular Integrals in Clifford Analysis  

作　　者：Heju YANG Yuying QIAO Sha HUANG 

机构地区：[1]College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, P. R. China [2]College of Science, Hebei University of Science and Technology, Hebei 050018, P. R. China

出　　处：《Journal of Mathematical Research with Applications》2012年第2期189-200,共12页数学研究及应用（英文版）

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)

摘　　要：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.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.

关 键 词：Clifford analysis Cauchy principal value Cauchy-type singular integral with aparameter transformation formula. 

分 类 号：O175.5[理学—数学] O174.5[理学—基础数学]