Li et al: Some properties of T-operator with bihypermonogenic kernel in Clifford analysis


Zunfeng Li, Heju Yang, Yuying Qiao & Bingchan Guo, Some properties of T-operator with bihypermonogenic kernel in Clifford analysis, Pages 1-19 | Received 13 Jul 2016, Accepted 23 Oct 2016, Published online: 02 Feb 2017, http://dx.doi.org/10.1080/17476933.2016.1254203

Abstract: 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, Hölder 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.

Keywords: Bihypermonogenic function, uniform boundness, Hölder continuity,
gamma-integrability

AMS Subject Classifications: 30E20, 30E25, 45E05

Source: http://www.tandfonline.com/doi/full/10.1080/17476933.2016.1254203

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