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

被引：0

作者：

Ricardo Abreu-Blaya

Juan Bory-Reyes

Paul Bosch

机构：

[1] Universidad de Holguín,Departamento de Matemática

[2] niversidad de Oriente,Departamento de Matemática

[3] Universidad Diego Portales,Facultad de Ingeniería

来源：

Boundary Value Problems | / 2010卷

关键词：

Dirac Operator; Clifford Algebra; Extension Theorem; Fractal Boundary; Monogenic Function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

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