Clifford分析中一类二次拟Cauchy型积分的Hlder连续性

The Hlder Continuity of Two Times Quasi-Cauchy Integral in Clifford Analysis

通过讨论几个相关奇异积分算子的Hlder连续性及其估值研究了二次拟Cauchy型奇异积分算子的Hlder连续性,为研究双超正则函数的性质及其迭代逼近奠定了理论基础,补充和完善了双超正则函数理论.

In this article we discuss Holder continuity of the two times quasi-Cauchy integral operator for bihypermonogenic function by using of related Holder continunity and estimation for some singular integral operators. These results lay a foundation for properties and iterative approximation of bihypermo- nogenic function, besides,this article enrich the theory of bihypermonogenic function.