Boundary properties for several singular integral operators in real Clifford analysis

被引：2

作者：

Yang He-ju ^{[1
,2
]}

Xie Yong-hong ^{[1
]}

机构：

[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China

[2] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2010年 / 25卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Singular integral operator; Holder continuous function; boundary property; HARTOGS PHENOMENON;

D O I：

10.1007/s11766-010-2148-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On the basis of the Cauchy integral formulas for regular and biregular functions, we define some Cauchy-type singular integral operators. Then we discuss the Holder continuous property of some singular integral operators with one integral variable. Then we divide a singular integral operator with two variables into three parts and prove its Holder continuous property on the boundary.

引用

页码：349 / 358

页数：10

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