Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions
Complex Variables
2025-03-03 v1
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.
Cite
@article{arxiv.2502.20737,
title = {Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions},
author = {Manjie Hu and Chao Ding and Yifei Shen and Jiani Wang},
journal= {arXiv preprint arXiv:2502.20737},
year = {2025}
}