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一类广义加权Hardy算子交换子的有界性
  • ISSN号：0476-0301
  • 期刊名称：北京师范大学学报(自然科学版)
  • 时间：0
  • 页码：16-19
  • 分类：O178[理学—数学;理学—基础数学]
  • 作者机构：[1]北京师范大学数学科学学院,北京100875, [2]临沂大学理学院,山东临沂276005
  • 相关基金：国家自然科学基金资助项目（10901076,10931001）;教育部优秀博士学术新人奖资助项目
  • 相关项目：一类m线性算子的sharp估计
作者： 石少广|
关键词： Hardy算子, BMO, 交换子, Hardy operators； BMO； commutator；
中文摘要：

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（1〈p〈∞）空间中的有界性的充要条件.

英文摘要：

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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期刊信息
  • 《北京师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:北京师范大学
  • 主编：刘文彪
  • 地址：北京新外大街19号
  • 邮编：100875
  • 邮箱：JBNUNS@bnu.EDU.CN
  • 电话：
  • 国际标准刊号：ISSN：0476-0301
  • 国内统一刊号：ISSN：11-1991/N
  • 邮发代号:82-406
  • 获奖情况:
  • 1997年全国第二届科技期刊评比一等奖,1999年教育部优秀科技期刊二等奖,1999年首届国家期刊奖,中国期刊方阵“双高”期刊
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  • 被引量:10672