Boundedness of Multilinear Singular Integral Operators on Homogeneous Groups

齐次群上多线性奇异积分算子的有界性(英文)

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摘要 Let G be a homogeneous group. In this paper, the author studies the boundedness of multi-sublinear operators on the product of weighted Lebesgue spaces on G. As its special case, the corresponding result of multilinear Calderon-Zygmund operators can be obtained. Let G be a homogeneous group. In this paper, the author studies the boundedness of multi-sublinear operators on the product of weighted Lebesgue spaces on G. As its special case, the corresponding result of multilinear Calderon-Zygmund operators can be obtained.

作者林燕

机构地区 School of Mathematical Sciences

出处《Northeastern Mathematical Journal》 CSCD 2007年第6期505-512,共8页 东北数学（英文版）

基金 The NNSF(10571014)of China the Doctoral Programme Foundation(20040027001)of Institution of Higher Education of China

关键词 homogeneous group weighted Lebesgue space multilinear Calderon-Zygmund operator homogeneous group, weighted Lebesgue space, multilinear Calderon-Zygmund operator

分类号 O152 [理学—基础数学]

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1Guozhen Lu,Shanzhen Lu,Dachun Yang.Singular integrals and commutators on homogeneous groups[J].Analysis Mathematica.2002(2)
2Lu G.Z.,Lu S.Z.,and Yang D.C.Singular integrals and commutators on homogeneous groups[].Analysis Mathematica.2002
3Stein,E.M.Harmonic Analysis:Real-Variable Methods,Orthogonality,and Oscillatory In- tegrals[]..1993
4Folland,G.B,and Stein,E.M.Hardy Spaces on Homogeneous Groups[].MathNotes.1982
5Hebisch,W.,and Sikora,A.A smooth subadditive homogeneous norm on a homogeneous group[].Studia Mathematica.1990
6Coifman,R.R.,and Weiss,G.Extensions of Hardy spaces and their use in analysis[].Bull Amen MathSoc.1977
7García-Cuerva,J,and Rubio,de Francia J.L.Weighted Norm Inequalities and Related Topics[].North-Holland Math Studies.1985
8Calderón,A.P.Inequalities for the maximal function relative to a metric[].Studia Mathematica.1976
9Stein E M.Note on singular integrals[].Proceedings of the American Mathematical Society.1957
10Soria P,Weiss G.A remark on singular integrals and power weights[].Indiana University Mathematics Journal.1994

1Dongxiang CHEN,Jiecheng CHEN,Suzhen MAO.Weighted L^p Estimates for Maximal Commutators of Multilinear Singular Integrals[J].Chinese Annals of Mathematics,Series B,2013,34(6):885-902.
2Wengu Chen Department of Mathematics, Capital Normal University. Beijing 100037. P. R. China.A Besov Estimate for Multilinear Singular Integrals[J].Acta Mathematica Sinica,English Series,2000,16(4):613-626. 被引量：6
3TANG Sufang WEI Na.Morrey Estimates for Nondivergence Parabolic Operators with Discontinuous Coefficients on Homogeneous Groups[J].Journal of Partial Differential Equations,2010,23(1):1-15.
4默会霞.COMMUTATORS OF GENERALIZED HARDY OPERATORS ON HOMOGENEOUS GROUPS[J].Acta Mathematica Scientia,2010,30(3):897-906. 被引量：1
5LIAN Jia-li,MA Bo-lin,WU Huo-xiong.Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals with Non-Smooth Kernels[J].Applied Mathematics(A Journal of Chinese Universities),2011,26(3):353-367. 被引量：3
6Yinsheng Jiang,Lin Tang.MAXIMAL CHARACTERIZATIONS OF HERZ TYPE HARDY SPACES ON HOMOGENEOUS GROUPS[J].Analysis in Theory and Applications,2005,21(4):301-310.
7Zhu Yueping (1) , Zheng Weixing (2).WEIGHTED HARDY SPACES ON HOMOGENEOUS GROUPS[J].Analysis in Theory and Applications,1999,15(2):15-21.
8陆善镇,孟岩,吴强.LIPSCHITZ ESTIMATES FOR MULTILINEAR SINGULAR INTEGRALS,Ⅱ[J].Acta Mathematica Scientia,2004,24(2):291-300. 被引量：3
9周娟,朱月萍.Boundedness of Multilinear Singular Integrals and Their Commutators on Morrey-Herz Spaces with Non-doubling Measures[J].Chinese Quarterly Journal of Mathematics,2012,27(4):545-555.
10Yin Sheng JIANG Department of Mathematics. Xinjiang University, Urumqi, 830046, P. R. China.New Hardy Spaces Associated with Herz Spaces and Beurling Algebras on Homogeneous Groups[J].Acta Mathematica Sinica,English Series,2002,18(4):661-670. 被引量：8

Northeastern Mathematical Journal

2007年第6期

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Boundedness of Multilinear Singular Integral Operators on Homogeneous Groups

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