Clifford分析中密度函数含参量的Cauchy型积分算子的性质

Some Properties of the Cauchy-type Integral Operator for Density Function Containing Parameter in Clifford Analysis

在Clifford分析中利用正则函数的一些结果与广义球坐标变换,讨论了密度函数含参量的Cauchy型积分算子的H?lder连续性,并且得到了密度函数含参量的Cauchy型积分的Plemelj公式.

In this paper,we study the problem of the Cauchy-type singular integral operator for density function containing parameter. By using some known results of the regular function and the hyperspherical coordinate transformation, we get the H lder continuity and Plemelj formula of the Cauchy-type integral operator for density function containing parameter.