Cauchy transform on nonrectifiable surfaces in Clifford analysis

被引：11

作者：

Abreu-Blaya, R. ^{[2
]}

Bory-Reyes, J. ^{[1
]}

Moreno-Garcia, T. ^{[2
]}

机构：

[1] Univ Oriente, Dept Matemat, Santiago De Cuba, Cuba

[2] Univ Holguin, Fac Informat & Matemat, Holguin, Cuba

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 01期

关键词：

Cauchy transform; Clifford analysis; rectifiability;

D O I：

10.1016/j.jmaa.2007.06.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of reconstructing a monogenic Clifford algebra valued function on the boundary F of a general open set Omega in Rn+1 from a prescribed jump data u over the boundary is deeply connected with the study of the Clifford-Cauchy transform [GRAPHICS] Necessary and sufficient condition on non-rectifiable F is established guaranteeing the existence of continuous boundary values of this transform for all functions satisfying a Holder type condition. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：31 / 44

页数：14

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