| ${mathbb C}^n$中两球相交域的奇异积分 |
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| 引用本文： | 龚定东. ${mathbb C}^n$中两球相交域的奇异积分[J]. 数学研究及应用, 2021, 41(1): 49-61 |
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| 作者姓名： | 龚定东 |
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| 作者单位： | 浙江理工大学数学科学系, 浙江 杭州 310018 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11671360; 11771400). |
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| 摘 要： | 本文研究了双球相交域边界上的带有圆形挖去邻域的奇异积分,得到了带有全纯核的奇异积分的主值和Plemelj公式.
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| 关 键 词： | 双球相交域 圆形挖去邻域 主值 Plemelj公式 |
| 收稿时间： | 2019-12-03 |
| 修稿时间： | 2020-09-06 |
The Singular Integrals on the Intersection of Two Balls in ${mathbb C}^n$ |
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| Dingdong GONG. The Singular Integrals on the Intersection of Two Balls in ${mathbb C}^n$[J]. Journal of Mathematical Research with Applications, 2021, 41(1): 49-61 |
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| Authors: | Dingdong GONG |
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| Affiliation: | Department of Mathematical Sciences, Zhejiang Sci-Tech University, Zhejiang 310018, P. R. China |
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| Abstract: | In this paper the author studies the singular integral with the circularly deleted neighborhood on the boundary of the intersection of two balls, and obtain the principal value of the singular integral with holomorphic kernel and the Plemelj formula. |
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| Keywords: | intersection of two balls circularly deleted neighborhood principal value Plemelj formula |
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