The Plemelj-Privalov theorem in Clifford analysis

被引：7

作者：

Abreu Blaya, Ricardo ^{[1
]}

Bory Reyes, Juan ^{[2
]}

Moreno Garcia, Tania ^{[1
]}

机构：

[1] Univ Holguin, Fac Informat & Matemat, Holguin 80100, Cuba

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

来源：

COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 5-6期

关键词：

D O I：

10.1016/j.crma.2009.01.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This Note gives geometric conditions on a surface of R-n so that the Hilbert transform oil that surface in the framework of Clifford analysis defines a bounded operator in the Holder Continuous functions classes. This result provides a generalization of the well-known theorem of Plemelj and Privalov for curves in R-2. To cite this article: R. Abreu Blaya et al., C R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：223 / 226

页数：4

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