an:06752312
Zbl 1371.30045
Li, Zunfeng; Yang, Heju; Qiao, Yuying; Guo, Bingchan
Some properties of T-operator with bihypermonogenic kernel in Clifford analysis
EN
Complex Var. Elliptic Equ. 62, No. 7, 938-956 (2017).
00366497
2017
j
30G35 30E20
hypermonogenic functions; bihypermonogenic functions; singular integral operator
Summary: In this paper, we give the definition of T-operator with bihypermonogenic kernel in Clifford analysis and discuss a series of properties of this operator, such as uniform boundness, H??lder continuity and \(\gamma\)-integrability. T-operator is a singular integral operator which is defined in the \(n\)-dimensional Euclidean space valued in the noncommutative Clifford algebra. The properties of T-operator play an important role in solving differential equations.