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.
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页码：223 / 226
页数：4
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