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双线性分数次Hardy算子交换子在Herz-Morrey空间上的估计

Estimate of the Commutators of Bilinear Fractional Hardy Operators on Herz-Morrey Spaces
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摘要 证明了双线性分数次Hardy算子和双线性分数次共轭Hardy算子分别与中心BMO函数生成的交换子在Herz-Morrey空间上的有界性,同时得到了双线性Hardy算子交换子和双线性共轭Hardy算子的相应结果. In this paper, it is proved that the commutators of bilinear operators and conjugate operators generated by central BMO functions and bilinear fractional Hardy operators are bounded on the Herz-Morrey, respectively. The similar results for bilinear Hardy operators and bilinear conjugate Hardy operators are also obtained.
作者 刘荣辉 周疆 LIU Ronghui ZHOU Jiang(College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, Xinjian)
出处 《四川师范大学学报(自然科学版)》 CAS 北大核心 2017年第5期621-627,共7页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金(11661075)
关键词 双线性分数次Hardy算子 CMO空间 HERZ-MORREY空间 有界性 bilinear fractional Hardy operators CMO space Herz'Morrey space boundedness
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