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BESOV函数的高阶交换子的有界性
  • 期刊名称：北京师范大学学报（自然科学版）42，（2006），32-34. (中国)
  • 时间：0
  • 分类：O174.2[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]湖南大学数学与计量经济学院,长沙410082
  • 相关基金：国家自然科学基金资助项目（10371004,10571015）;教育部博士点基金资助项目（20050027025）
  • 相关项目：Littlewood-Paley 理论及应用
关键词： 高阶交换子, BESOV空间, Calderón-Zygmund奇异积分算子, 分数次积分算子, higher order commutators, Besov spaces, Calderón-Zygmund singular integral operators, factional integral operators
中文摘要：

讨论了Besov函数与Calderón-Zygmund奇异积分算子生成的高阶交换子的有界性及相应分数次积分算子的高阶交换子的有界性。

英文摘要：

The boundedness of the higher order commutators generated by functions in Besov spaces and Calderón-Zygmund singular integral operators, and the boundedness of the corresponding higher order commutators of fractional integral operators are proved.

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