CBMO ESTIMATES FOR MARCINKIEWICZ INTEGRALS ON HOMOGENEOUS MORREY-HERZ SPACES 被引量：1

CBMO ESTIMATES FOR MARCINKIEWICZ INTEGRALS ON HOMOGENEOUS MORREY-HERZ SPACES

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摘要 The boundedness of the commutator μΩ,b generalized by Marcinkiewicz integral μΩ and a function b（x） ∈ CBMOq （Rn） on homogeneous Morrey-Herz spaces is established. The boundedness of the commutator μΩ,b generalized by Marcinkiewicz integral μΩ and a function b（x） ∈ CBMOq （Rn） on homogeneous Morrey-Herz spaces is established.

作者 Xiangzheng Yang Xiaoli Chen Yuqing Liu

机构地区 Jiangxi Normal University

出处《Analysis in Theory and Applications》 2008年第3期271-279,共9页 分析理论与应用（英文刊）

基金 NSFC(10571014) NSFC(10571156) the Growth Foundation of JXNU(1983) the Doctor Foun-dation of JXNU

关键词 Morrey-Herz space Herz space Marcinkiewicz integral COMMUTATOR rough kernel Morrey-Herz space, Herz space, Marcinkiewicz integral, commutator, rough kernel

分类号 O177 [理学—基础数学]

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参考文献5

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共引文献114

1赵志云,牛耀明.带参数的抛物型Marcinkiewicz积分的L^2(R^n)有界性[J].内蒙古大学学报（自然科学版）,2012,43(2):113-117.
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7瞿萌,束立生.有界核Marcinkiewicz积分的弱型估计(英文)[J].安徽师范大学学报（自然科学版）,2005,28(1):10-13. 被引量：3
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同被引文献1

1Lu Shanzhen and Yang Dachun (Beijing Normal University, China).THE CENTRAL BMO SPACES AND LITTLEWOOD-PALEY OPERATORS[J].Analysis in Theory and Applications,1995,11(3):72-94. 被引量：50

引证文献1

1王立伟,瞿萌,范国良.齐次Morrey-Herz空间中多线性交换子的中心BMO估计[J].山东大学学报（理学版）,2012,47(12):82-87.

1Lisheng Shu,Rulong Xie.CONTINUITY OF MARCINKIEWICZ INTEGRALS ON HOMOGENEOUS MORREY-HERZ SPACES[J].Analysis in Theory and Applications,2007,23(3):201-212. 被引量：2
2Cuilan Wu.BOUNDEDNESS OF COMMUTATORS FOR MARCINKIEWICZ INTEGRALS ON WEIGHTED HERZ-TYPE HARDY SPACES[J].Analysis in Theory and Applications,2011,27(4):365-376. 被引量：1
3Chun Jie ZHANG,Ying YOU.A New Class of Weights Adapted to Rough Singular Integrals and Marcinkiewicz Integrals[J].Acta Mathematica Sinica,English Series,2009,25(8):1275-1288. 被引量：3
4Hui Xia MO,Shan Zhen LU.Two Operators Related to Marcinkiewicz Integrals[J].Acta Mathematica Sinica,English Series,2009,25(10):1617-1634. 被引量：1
5Huo Xiong WU Jian Kai XU.On Rough Marcinkiewicz Integrals along Surfaces[J].Acta Mathematica Sinica,English Series,2010,26(4):717-730.
6陈冬香,杨向征.具有变量核Marcinkiewicz积分交换子的CBMO估计[J].数学研究,2009,42(1):75-84. 被引量：1
7王立伟,瞿萌,束立生.齐次Morrey-Herz空间中高阶交换子的中心BMO估计[J].数学物理学报（A辑）,2014,34(2):426-436.
8王立伟,瞿萌,范国良.齐次Morrey-Herz空间中多线性交换子的中心BMO估计[J].山东大学学报（理学版）,2012,47(12):82-87.
9Yan LIN,Mei XU.Endpoint Estimates for Marcinkiewicz Integrals on Weighted Weak Hardy Spaces[J].Acta Mathematica Sinica,English Series,2015,31(3):430-444. 被引量：3
10冯进喜,陶双平.粗糙核分数次积分交换子在齐次Morrey-Herz空间上的CBMO估计[J].重庆工学院学报（自然科学版）,2008,22(9):52-56.

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2008年第3期

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