Open Access Research Article

Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains

Ricardo Abreu-Blaya1, Juan Bory-Reyes2 and Paul Bosch3*

Author Affiliations

1 Departamento de Matemática, Universidad de Holguín, Holguín 80100, Cuba

2 Departamento de Matemática, Universidad de Oriente, Santiago de Cuba 90500, Cuba

3 Facultad de Ingeniería, Universidad Diego Portales, Santiago de Chile 8370179, Chile

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Boundary Value Problems 2010, 2010:513186 doi:10.1155/2010/513186

Published: 30 March 2010

Abstract

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.