Invariant subspace for a singular integral operator on Ahlfors David surfaces

被引：0
|
作者：
Reyes, JB [1 ]
Blaya, RA
机构：
[1] Univ Oriente, Fac Sci, Dept Math, Santiago De Cuba 90500, Cuba
[2] Univ Holguin, Fac Math & Informat, Holguin 80100, Cuba
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2001年 / 8卷 / 04期
关键词：
quaternionic analysis; singular integral; Ahlfors David surfaces;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the singular integral operator on Ahlfors-David surfaces is shown to have air invariant subspace of the generalized Holder continuous function space. We study the problem in the context of Quaternionic Analysis. Two equivalent norms on certain quaternionic monogenic functions subspace are treated.
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页码：673 / 683
页数：11
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