| 一类奇异积分算子的广义逆及其证明 |
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| 引用本文： | 李鸿燕,樊庆端. 一类奇异积分算子的广义逆及其证明[J]. 上海工程技术大学学报, 2010, 24(4): 317-319. DOI: 10.3969/j.issn.1009-444X.2010.04.008 |
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| 作者姓名： | 李鸿燕 樊庆端 |
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| 作者单位： | 上海工程技术大学,基础教学学院,上海,201620 |
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| 摘 要： | 根据开口弧段上奇异积分方程解在端点处的不同要求,选取合适的权函数并构造一类Banach空间及奇异积分算子.讨论了该奇异积分算子的广义逆,为后续开口弧段上奇异积分方程的逼近解法求解提供了基础.
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| 关 键 词： | 奇异积分算子 广义逆 H(o)lder条件 |
Proof of Generalized Inverse for A Class of Singular Integral Operators |
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| LI Hong-yan,FAN Qing-duan. Proof of Generalized Inverse for A Class of Singular Integral Operators[J]. Journal of Shanghai University of Engineering Science, 2010, 24(4): 317-319. DOI: 10.3969/j.issn.1009-444X.2010.04.008 |
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| Authors: | LI Hong-yan FAN Qing-duan |
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| Affiliation: | (College of Fundamental Studies,Shanghai University of Engineering Science,Shanghai 201620,China) |
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| Abstract: | According to different requirements of solution at the end points of singular integral equation on an open arc,an appropriate weight function was determined and a class of Banach spaces and singular integral operators was constructed.Discussion of the generalized inverse of the singular integral operator has laid a foundation for future approximate solutions of singular integral equations on an open arc. |
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| Keywords: | singular integral operators generalized inverse Hlder condition |
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