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arXiv · 2502.20737

Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions

Manjie Hu·Chao Ding·Yifei Shen·Jiani Wang
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Abstract

The theory of generalized partial-slice monogenic functions is considered as a syhthesis of the classical Clifford analysis and the theory of slice monogenic functions. In this paper, we investigate the Cauchy integral formula and the Plemelj formula for generalized partial-slice monogenic functions. Further, we study some properties of the Teodorescu transform in this context. A norm estimation for the Teodorescu transform is discussed as well.

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Manjie Hu, Chao Ding, Yifei Shen, Jiani Wang. 2025-02-28. Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions. https://arxiv.org/abs/2502.20737

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