Boundary Value Problems
Volume 2008 (2008), Article ID 385874, 7 pages
doi:10.1155/2008/385874
Research Article

A Boundary Value Problem for Hermitian Monogenic Functions

Ricardo Abreu Blaya,1 Juan Bory Reyes,2 Dixan Peña Peña,3 and Frank Sommen3

1Facultad de Informática y Matemática, Universidad de Holguín, Holguín 80100, Cuba
2Departamento de Matemática, Universidad de Oriente, Santiago de Cuba 90500, Cuba
3Department of Mathematical Analysis, Ghent University, Galglaan 2, Gent 9000 , Belgium

Received 14 September 2007; Accepted 7 December 2007

Academic Editor: Patrick J. Rabier

Copyright © 2008 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.

Abstract

We study the problem of finding a Hermitian monogenic function with a given jump on a given hypersurface in ℝm, m=2n. Necessary and sufficient conditions for the solvability of this problem are obtained.