中文摘要：

讨论了Clifford分析中具有超正则核的T（Teodorescu）算子的基本性质．T算子是定义在区域上的奇异积分算子，它在广义解析函数理论和Vekua理论中起着重要的作用．在复分析中关于T算子的理论已经发展得很完善，但在Clifford分析中，具有超正则核的丁算子的相关性质还没有得到研究．研究了Clifford分析中具有超正则核的T算子的基本性质，得到了这个算子在Ω Rn＋1 ＋ 上的一致有界性，HSlder连续性以及这个算子的γ次可积性．

英文摘要：

The basic properties of the T（Teodorescu） operator with hypermonogenic kernel in Clifford analysis are studied in this paper. T-operator is a singular integral operator defined in a domain and it plays an important role in generalized analytic function and Vekua theory. In Complex analysis, many theories about T-operator are well development. But in Clifford analysis, it hasn＇t been studied about the properties of a T-operator with hypermonogenic kernel. The paper focuses on the basic properties of T-operator which has hypermonogenic kernel in Clifford analysis. We obtain its uniform boundedness and HSlder continuity in Ω Rn＋1 ＋ space. At the same time we also prove the γtimes integrability of the operator.