Clifford分析中Cauchy型奇异积分算子的一些性质

Some Properties of Cauchy-Type Singular Integrals in Clifford Analysis

中文关键词:  Clifford分析  Cauchy主值  带参变量的Cauchy型奇异积分  换序公式.

英文关键词:Clifford analysis  Cauchy principal value  Cauchy-type singular integral with a parameter  transformation formula.

中文摘要:

      首先给出了一个带微元的奇异积分的模的估计, 然后通过证明Cauchy主值的存在性证明了几个带参变量的Cauchy型奇异积分算子的换序公式.

英文摘要:

      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.