| 无界域上一类高阶奇异T算子的Holder连续性及其应用 |
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| 引用本文： | 张蓓,李莹,付志远,杨贺菊. 无界域上一类高阶奇异T算子的Holder连续性及其应用[J]. 高校应用数学学报(A辑), 2021, 0(1): 96-110 |
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| 作者姓名： | 张蓓 李莹 付志远 杨贺菊 |
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| 作者单位： | 河北科技大学理学院 |
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| 基金项目： | 国家自然科学基金(11571089,11871191,11601422);北京市自然科学基金(1182008)。 |
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| 摘 要： | 首先定义了Rn上一类高阶奇异T算子,然后将该算子分为两部分分别讨论得到了该算子在Rn上的Holder连续性,最后给出了这个算子的广义导数并通过导数和正则函数的性质给出了高维空间中的一类广义Hn方程组的解.
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| 关 键 词： | 高阶奇异T算子 CLIFFORD分析 HOLDER连续性 |
Holder continuity and applications of a high-order singular Teodorescu operators on an unbounded domain |
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| ZHANG Bei,LI Ying,FU Zhi-yuan,YANG He-ju. Holder continuity and applications of a high-order singular Teodorescu operators on an unbounded domain[J]. Applied Mathematics A Journal of Chinese Universities, 2021, 0(1): 96-110 |
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| Authors: | ZHANG Bei LI Ying FU Zhi-yuan YANG He-ju |
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| Affiliation: | (School of Science.,Hebei University of Science and Technology.,Shijiazhuang 050018,China) |
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| Abstract: | Firstly,the definition of a kind of high-order singular integral operators in Rn is given.Then it is classified that the operator into two parts to study the Holder continuity of the operator in Rn.Finally,the generalized derivative of this operator is given and a solution of a class of generalized Hn equation system in high dimensional space is obtain by using the operator. |
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| Keywords: | high-order singular integral operator Clifford analysis Holder continuity |
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