| 一类广义加权Hardy算子交换子的有界性 |
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| 引用本文： | 石少广.一类广义加权Hardy算子交换子的有界性[J].北京师范大学学报(自然科学版),2012,48(1):16-19. |
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| 作者姓名： | 石少广 |
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| 作者单位： | 北京师范大学数学科学学院,北京100875／临沂大学理学院,山东临沂276005 |
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| 基金项目： | 国家自然科学基金资助项目，教育部优秀博士学术新人奖资助项目 |
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| 摘 要： | 利用Hardy-Littlewood极大算子控制交换子的方法得到一类广义加权Hardy算子交换子在Lp(1p∞)空间中的有界性的充要条件.
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| 关 键 词： | Hardy算子 BMO 交换子 |
BOUNDEDNESS OF THE COMMUTATORS FOR A CLASS OF GENERALLY WEIGHTED HARDY OPERATORS |
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| SHI Shaoguang.BOUNDEDNESS OF THE COMMUTATORS FOR A CLASS OF GENERALLY WEIGHTED HARDY OPERATORS[J].Journal of Beijing Normal University(Natural Science),2012,48(1):16-19. |
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| Authors: | SHI Shaoguang |
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| Institution: | SHI Shaoguang1,2)(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: | Sufficient and necessary condition on weight functions was set up to ensure boundedness of the commutators generated by a class of generally weighted Hardy operators and BMO functions.Hardy-Littlewood maximal operators were used to control the commutators. |
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| Keywords: | Hardy operators BMO commutator |
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