| 一类推广的控制收敛定理及其应用 |
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| 引用本文： | 杜志华. 一类推广的控制收敛定理及其应用[J]. 数学杂志, 2007, 27(5): 521-524 |
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| 作者姓名： | 杜志华 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | Supported by RFDP of Higher Education and NNSF of China，SF of WuhanUnviersity . |
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| 摘 要： | 本文研究了一类推广的控制收敛定理及其应用,利用对控制函数满足条件的修改,建立了推广的控制收敛定理,获得其在弱奇异性积分算子中的应用,简化了经典结论的证明.
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| 关 键 词： | 控制收敛 控制函数 积分算子 弱奇异性 |
| 文章编号： | 0255-7797（2007）05-0521-04 |
| 修稿时间： | 2005-03-152005-07-30 |
EXTENDED DOMINATED CONVERGENCE THEOREM AND ITS APPLICATION |
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| DU Zhi-hua. EXTENDED DOMINATED CONVERGENCE THEOREM AND ITS APPLICATION[J]. Journal of Mathematics, 2007, 27(5): 521-524 |
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| Authors: | DU Zhi-hua |
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| Affiliation: | School of Math. and Statistics , Wuhan Unviersity , Wuhan 430072, China |
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| Abstract: | In this paper,we study a kind of extended dominated convergence theorem and its application.By using modified conditions for dominant function,we establish extended dominated convergence theorem and obtain an application to integral operators with weak singularity, which simplifies the proof of the classical conclusion. |
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| Keywords: | dominated convergence dominant function integral operator weak singularity |
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