Abstract:

In this article, the authors discussed the boundary behavior for the Cauchy-
type integrals with values in a Clifford algebra, obtained some Sochocki–Plemelj formulae and Privalov–Muskhelishvili theorems for the Cauchy-type integral taken over a smooth surface by rather simple method.

Key words: Clifford algebra, Cauchy-type integral, Sochocki–Plemelj formula, Privalov&ndash,
Muskhelishvili theorem