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

被引：4

作者：

Abreu-Blaya, Ricardo ^{[2
]}

Bory-Reyes, Juan ^{[3
]}

Bosch, Paul ^{[1
]}

机构：

[1] Univ Diego Portales, Fac Ingn, Santiago 8370179, Chile

[2] Univ Holguin, Dept Matemat, Holguin 80100, Cuba

[3] Univ Oriente, Dept Matemat, Santiago De Cuba 90500, Cuba

来源：

BOUNDARY VALUE PROBLEMS | 2010年

关键词：

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

D O I：

10.1155/2010/513186

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 Holder 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.

引用

页数：9