Copyright © 2010 Ricardo Abreu-Blaya et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Monogenic extension theorem of complex Clifford algebras-valued functions
over a bounded domain with fractal boundary is obtained. The
paper is dealing with the class of Hölder continuous functions. Applications
to holomorphic functions theory of several complex variables
as well as to that of the so-called biregular functions will be deduced
directly from the isotonic approach.