| 一类振荡积分算子交换子的加权有界性 |
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| 引用本文： | 石少广,张蕾.一类振荡积分算子交换子的加权有界性[J].北京师范大学学报(自然科学版),2011(4):344-346. |
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| 作者姓名： | 石少广 张蕾 |
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| 作者单位： | 北京师范大学数学科学学院;临沂大学理学院; |
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| 基金项目： | 国家自然科学基金资助项目(10871024,10901076,10931001); 山东省自然科学基金资助项目(Q2008A01); 北京师范大学优秀博士论文培育计划资助项目 |
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| 摘 要： | 利用柯西积分公式和变测度差值定理得到一类由带标准核的振荡奇异积分算子和BMO函数生成的交换子的加权Lp有界性.同时研究了相应高阶交换子的有界性.
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| 关 键 词： | 振荡积分算子 标准核 加权有界性 |
WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF ONE CLASS OF OSCILLATORY INTEGRAL OPERATORS |
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| SHI Shaoguang, ZHANG LeiSchool of Mathematical Sciences,Beijing Normal University,Beijing,China,School of Science,Linyi University,Linyi,Sh,ong,China.WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF ONE CLASS OF OSCILLATORY INTEGRAL OPERATORS[J].Journal of Beijing Normal University(Natural Science),2011(4):344-346. |
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| Authors: | SHI Shaoguang ZHANG LeiSchool of Mathematical Sciences Beijing Normal University Beijing China School of Science Linyi University Linyi Sh ong China |
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| Institution: | SHI Shaoguang1,2) ZHANG Lei2)(1)School of Mathematical Sciences,Beijing Normal University,100875,Beijing,China,2)School of Science,Linyi University,276005,Linyi,Shandong,China) |
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| Abstract: | The Lp boundedness of commutators generated by oscillatory singular integral operators with standard kernel and BMO functions was proved,with the aid of cauchy integral formula and by interpolation of operators with change of measures.In addition,corresponding results of high order commutators were also established. |
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| Keywords: | oscillatory singular integral operators standard kernel weighted boundedness one-sided weight |
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