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一类振荡积分算子交换子的加权有界性 被引量：1

WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF ONE CLASS OF OSCILLATORY INTEGRAL OPERATORS
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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. 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.
作者 石少广 张蕾
机构地区 北京师范大学数学科学学院 临沂大学理学院
出处 《北京师范大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第4期344-346,共3页 Journal of Beijing Normal University(Natural Science)
基金 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
关键词 振荡积分算子 标准核 加权有界性 oscillatory singular integral operators standard kernel weighted boundedness one-sided weight
分类号 O177.6 [理学—基础数学]
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参考文献10

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同被引文献17

  • 1陶双平,武江龙.齐次Morrey-Herz空间上粗糙核高阶交换子的有界性[J].数学进展,2007,36(5):607-616. 被引量：12
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  • 7CHANILLO S,KURTZ D,SAMPSON G.Weighted Lp estimates for oscillating kernels[J].Ark Math,1983,21(2):233-257.
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  • 9LU Shan-zhen,XU Li-fang.Bounedness of rough singular operators on the homoggeneous Morry-Herz spaces[J].Hokkaido Math J,2005,34(6):299-314.
  • 10REN Zhuan-xi,TAO Shuang-ping.Weighted estimates for commutators of n-dimensional rough Hardy operators[J].Journal of Function Spaces and Applications,2013,2013:568202.1-5.

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北京师范大学学报（自然科学版）
2011年 第4期

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