BOUNDEDNESS OF HIGHER ORDER COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON HARDY SPACES 被引量：2

BOUNDEDNESS OF HIGHER ORDER COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON HARDY SPACES

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摘要 Let Tμ,b,m be the higher order commutator generated by a generalized fractional integral operator Tμ and a BMO function b. In this paper, we will study the boundedness of Tμ,b,m on classical Hardy spaces and Herz-type Hardy spaces.

作者 Chunlei He Lisheng Shu

机构地区 Dept. of Math. Anhui Normal University Wuhu

出处《Analysis in Theory and Applications》 2005年第3期249-257,共9页 分析理论与应用（英文刊）

基金 Supported Partially by NSF of China (10371087) Education Committee of Anhui Province (2003kj034zd).

关键词（θ - N）-type fractional integral operator COMMUTATOR BMO space Hardy space Herz-type Hardy space ATOM （θ - N）-type fractional integral operator, commutator, BMO space, Hardy space,Herz-type Hardy space, atom

分类号 O177.3 [理学—基础数学]

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参考文献1

1DING Yong LU Shan Zhen Department of Mathematics,Beijing Normal University,Beijing 100875.P.R.China E-mail:dingy@bnu.edu.cn lusz@bnu.edu.cnZHANG Pu Department of Mathematics.Zhejiang University(at Xixi Campus).Hangzhou 310028,P.R.China,E-mail:zhpjj@263,net.Continuity of Higher Order Commutators on Certain Hardy Spaces[J].Acta Mathematica Sinica,English Series,2002,18(2):391-404. 被引量：21

二级参考文献1

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共引文献20

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同被引文献6

1张丽琴.广义分数次积分算子交换子在Herz—Hardy空间上的有界性[J].南京理工大学学报,2003,27(z1):76-80. 被引量：1
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4DING Yong LU Shan Zhen Department of Mathematics,Beijing Normal University,Beijing 100875.P.R.China E-mail:dingy@bnu.edu.cn lusz@bnu.edu.cnZHANG Pu Department of Mathematics.Zhejiang University(at Xixi Campus).Hangzhou 310028,P.R.China,E-mail:zhpjj@263,net.Continuity of Higher Order Commutators on Certain Hardy Spaces[J].Acta Mathematica Sinica,English Series,2002,18(2):391-404. 被引量：21
5TangCanqin,YangDachun.BOUNDEDNESS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS[J].Approximation Theory and Its Applications,2002,18(4):38-54. 被引量：6
6赵凯,马丽敏,周淑娟.伴随BMO函数的交换子在Herz型Hardy空间上的加权有界性[J].应用数学,2004,17(3):424-431. 被引量：11

引证文献2

1朱诗红.广义分数次积分算子高阶交换子的弱Hardy空间有界性[J].铜陵学院学报,2007,6(1):79-80.
2Aiwen Sun Lisheng Shu.BOUNDEDNESS OF COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON WEIGHTED HERZ-TYPE HARDY SPACES[J].Analysis in Theory and Applications,2010,26(2):101-109. 被引量：1

二级引证文献1

1苟银霞,陶双平,戴惠萍.Herz型Hardy空间上粗糙核分数次积分及其交换子的加权估计[J].山东大学学报（理学版）,2014,49(7):80-87. 被引量：1

1DING Yong LU Shan Zhen Department of Mathematics,Beijing Normal University,Beijing 100875.P.R.China E-mail:dingy@bnu.edu.cn lusz@bnu.edu.cnZHANG Pu Department of Mathematics.Zhejiang University(at Xixi Campus).Hangzhou 310028,P.R.China,E-mail:zhpjj@263,net.Continuity of Higher Order Commutators on Certain Hardy Spaces[J].Acta Mathematica Sinica,English Series,2002,18(2):391-404. 被引量：21
2WU JIANG-LONG,LIU QING-GUO,Ji You-qing.λ-central BMO Estimates for Higher Order Commutators of Hardy Operators[J].Communications in Mathematical Research,2014,30(3):201-206. 被引量：1
3TangCanqin,YangDachun.BOUNDEDNESS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS[J].Approximation Theory and Its Applications,2002,18(4):38-54. 被引量：6
4DING Yong, LU Shanzhen & ZHANG PuDepartment of Mathematics, Beijing Normal University, Beijing 100875, China,Department of Information and Computing Science, Zhejiang Institute of Science and Technology, Hangzhou 310033, China.Weighted weak type estimates for commutators of the Marcinkiewicz integrals[J].Science China Mathematics,2004,47(1):83-95. 被引量：25
5Liwei WANG,Lisheng SHU.Higher Order Commutators of Marcinkiewicz Integral Operator on Herz-Morrey Spaces with Variable Exponent[J].Journal of Mathematical Research with Applications,2014,34(2):175-186. 被引量：2
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7Aiwen Sun Lisheng Shu.BOUNDEDNESS OF COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON WEIGHTED HERZ-TYPE HARDY SPACES[J].Analysis in Theory and Applications,2010,26(2):101-109. 被引量：1
8Xinfeng Shi,Yinsheng Jiang.WEIGHTED BOUNDEDNESS OF PARAMETRIC MARCINKIEWICZ INTEGRAL AND HIGHER ORDER COMMUTATOR[J].Analysis in Theory and Applications,2009,25(1):25-39. 被引量：6
9江寅生,唐林,杨大春.CONTINUITY FOR MAXIMAL COMMUTATORS OF BOCHNER-RIESZ OPERATORS WITH BMO FUNCTIONS[J].Acta Mathematica Scientia,2001,21(3):339-349. 被引量：2
10Vagif GULIYEV,Ali AKBULUT,Yagub MAMMADOV.BOUNDEDNESS OF FRACTIONAL MAXIMAL OPERATOR AND THEIR HIGHER ORDER COMMUTATORS IN GENERALIZED MORREY SPACES ON CARNOT GROUPS[J].Acta Mathematica Scientia,2013,33(5):1329-1346. 被引量：5

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