青岛大学学报(自然科学版)2012,Vol.25Issue(3):5-8,4.DOI:10.3969/j.issn.1006-1037.2012.08.002
一类Marcinkiewicz积分交换子的有界性
Boundedness of Some Commutators of Marcinkiewicz Integrals
摘要
Abstract
The boundedness of commutators generated by weighted BMO functions and Marcinkiewicz integrals μΩ with the logarithmic Lipschitz condition on Ω is discussed. Based on the results of the boundedness of μbΩ on Weighted Lp spaces, by using the theory of atomic decomposition of Hardy spaces, it is proved that μbΩ is bounded from Hl(w) to L1(Rn).关键词
Marcinkiewicz积分/交换子/BMO/权/有界性Key words
Marcinkiewicz integral/ commutator/ BMO/ weighted/boundedness分类
数理科学引用本文复制引用
姜诺,赵凯,于湖波,席芳,张红俊..一类Marcinkiewicz积分交换子的有界性[J].青岛大学学报(自然科学版),2012,25(3):5-8,4.基金项目
国家自然科学基金项目(11041004) (11041004)
山东自然科学基金项目(ZR2010AM032). (ZR2010AM032)