Abstract
In this paper, firstly, we study the continuity of Cauchy-type integral operator associated with inframonogenic functions and give the Plemelj formula. Secondly, we prove the properties of the Teodorescu operator related to the inframonogenic functions, including its boundness, continuity and differentiability. Finally, we give the related integral representation of Riemann boundary value problems for inframonogenic functions and generalized inframonogenic functions.
Disclosure statement
No potential conflict of interest was reported by the author(s).