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
${\mathbb C}^n$中两球相交域的奇异积分
The Singular Integrals on the Intersection of\\ Two Balls in ${\mathbb C}^n$
投稿时间:2019-12-03  修订日期:2020-09-06
DOI:10.3770/j.issn:2095-2651.2021.01.006
中文关键词:  双球相交域  圆形挖去邻域  主值  Plemelj公式
英文关键词:intersection of two balls  circularly deleted neighborhood  principal value  Plemelj formula
基金项目:国家自然科学基金(Grant Nos.11671360; 11771400).
作者单位
龚定东 浙江理工大学数学科学系, 浙江 杭州 310018 
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中文摘要:
      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.
英文摘要:
      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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