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Marcinkiewicz积分交换子的有界性
The Boundedness of Commutators for the Marcinkiewicz Integrals
【摘要】 本文考虑了Marcinkiewicz积分交换子μΩb在Lp(Rn)和Hardy空间的有界性, 其中Ω∈L1(Sn-1)是Rn中的零次齐次函数且满足一类Lq-Dini条件,因此改进了以往的结果.
【Abstract】 In this paper, the authors consider the boundedness of commutators for the Marcinkiewicz integral μΩb on Lp(Rn) and Hardy spaces, here Ω being a homogeneous function of degree zero on Rn and satisfying a class of Lq-Dini condition. The results in this paper are substantial improvements over some known results.
【关键词】 Marcinkiewicz积分;
Triebel-Lizorkin空间;
Hardy空间;
【Key words】 Marcinkiewicz integral: Triebel-Lizorkin space; Hardy space;
【Key words】 Marcinkiewicz integral: Triebel-Lizorkin space; Hardy space;
【基金】 国家科委973资助项目(19990751)教育部博士点基金资助项目(20040027001)
- 【文献出处】 数学学报 ,Acta Mathematica Sinica , 编辑部邮箱 ,2006年03期
- 【分类号】O174.2
- 【被引频次】28
- 【下载频次】172