| 非整数阶高阶奇异积分的微分公式 |
| |
| 引用本文： | 钟寿国.非整数阶高阶奇异积分的微分公式[J].武汉大学学报(理学版),2000,46(1):1-4. |
| |
| 作者姓名： | 钟寿国 |
| |
| 作者单位： | 武汉大学数学与计算机科学学院,武汉430072 |
| |
| 基金项目： | 国家教委博士点基金(98048627)，国家自然科学基金(19971064),武汉大学自强创新基金资助项目 |
| |
| 摘 要： | 在核密度有足够高阶的导数类(而不必在相应H
|
| 关 键 词： | 非整数阶高阶奇异积分 连续性，微分公式 |
| 文章编号： | 0253-9888(2000)01-0001-04 |
| 修稿时间： | 1999-07-12 |
On the Differential Formulas for Singular Integrals of High Non-Integral Order |
| |
| ZHONG Shou-guo.On the Differential Formulas for Singular Integrals of High Non-Integral Order[J].JOurnal of Wuhan University:Natural Science Edition,2000,46(1):1-4. |
| |
| Authors: | ZHONG Shou-guo |
| |
| Institution: | ZHONG Shou-guo ;
(College of Mathematics and Computer Science,Wuhan University,Wuhan 430072,China) |
| |
| Abstract: | When kerncl density is in the class of continuous function to possessing sufficient derivative of high order (and needn' t in the class of corresponding Holder function), in this paper it is given the continuity and the differential formulas for singular integrals of high non-integral order. The above results themselves and in order to prove in future the formulas to changing order of integration for singular integrals of high non-integral order(another paper) will have important significance. The method to prove in this paper is more different from the method in the corresponding cass of singular integrals of high integral order. |
| |
| Keywords: | singular integral of high non-integral order continuity differential formala |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
