| Singular integral on bounded strictly pseudoconvex domain |
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| 作者单位： | GONG Ding-dong Dept.of Math.，Zhejiang Univ.，Hangzhou 310027，China;Dept.of Math.Sci.，Zhejiang Sci-Tech Univ.，Hangzhou 310018，China. |
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| 基金项目： | 浙江省自然科学基金，国家自然科学基金 |
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| 摘 要： | Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the corresponding singular integral and a composition formula are obtained. This composition formula is quite different from usual ones in form. As an application, the corresponding singular integral equation and the system of singular integral equations are discussed as well.
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| 关 键 词： | 奇积分 伪凸域 奇积分方程 复合公式 |
Singular integral on bounded strictly pseudoconvex domain |
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| Authors: | Ding-dong Gong |
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| Institution: | [1]Dept. of Math., Zhejiang Univ., Hangzhou 310027, China [2]Dept. of Math. Sci., Zhejiang Sci-Tech Univ., Hangzhou 310018, China |
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| Abstract: | Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary.By means of this Cauchy integral principal value,the corresponding singular integral and a composition formula are obtained.This composition formula is quite different from usual ones in form.As an application,the corresponding singular integral equation and the system of singular integral equations are discussed as well. |
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| Keywords: | strictly pseudoconvex domain singular integral composition formula singular integral equation |
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