Weak Type Weighted Inequalities for the Commutators of the Multilinear Calderón-Zygmund Operators

Weak Type Weighted Inequalities for the Commutators of the Multilinear Calderón-Zygmund Operators

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摘要 For the commutators of multilinear Calder ′on-Zygmund singular integral operators with B MO functions, the weak type weighted norm inequalities with respect to A^P weights are obtained. For the commutators of multilinear Calder ′on-Zygmund singular integral operators with B MO functions, the weak type weighted norm inequalities with respect to A^P weights are obtained.

作者 Wenming Li Tingting Zhang Limei Xue

机构地区 School of Mathematics and Informaion Science School of Mathematics and Science

出处《Analysis in Theory and Applications》 CSCD 2015年第3期244-252,共9页 分析理论与应用（英文刊）

基金 supported by the Natural Science Foundation of Hebei Province (A2014205069)

关键词 COMMUTATOR multilinear Calderón-Zygmund operator multilinear maximal function weight Commutator,multilinear Calderón-Zygmund operator,multilinear maximal function,weight

分类号 O177 [理学—基础数学]

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1M. Christ and J.-L. Journ′e, Polynomial growth estimates for multilinear singular integraloperatrs, ActaMath., 159 (1987), 51–80.
2R. R. Coifman and Y. Meyer, On commutators of singular integrals and bilinear singularintegrals, Trans. Amer. Math. Soc., 212 (1975), 315–331.
3R. R. Coifman and Y. Meyer, Commutateurs d’int′egrales singuli`eres et op′erateurs mulitilin′eaires, Ann. Inst. Fourier (Grenoble), 28(3) (1978), 177–202.
4C. Fefferman and E.M. Stein, Hp spaces of several variables, ActaMath., 129 (1972), 137–193.
5L. Grafakos and R. Torres, Multilinear Calder ′on-Zygmund theory, Adv. Math., 165 (2002),124–164.
6L. Grafakos and R. Torres,Maximal operator andweighted norminequalities formultilinearsingular integrals, Indiana Univ. Math. J., 51 (2002), 1261–1276.
7C. E. Kenig and E.M. Stein,Multilinear estimatesand fractional integration,Math. Res. Lett.,6 (1999), 1–15.
8A. K. Lerner, S. Ombrosi, C. P′erez, R. Torres and R. Trujillo-Gonz′alez, New maximal functionsand multiple weights for the multilinear Calder ′on-Zygmund theory, Adv. Math., 220(2009), 1222–1264.

1María Silvina RIVEROS,Marta URCIUOLO.Weighted Inequalities for Fractional Type Operators with Some Homogeneous Kernels[J].Acta Mathematica Sinica,English Series,2013,29(3):449-460.
2CHEN Wei,LIU Peide School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China.Weighted Inequalities in Martingale Spaces[J].Wuhan University Journal of Natural Sciences,2010,15(1):1-6.
3Wei CHEN,Peide LIU.Weighted Inequalities for the Generalized Maximal Operator in Martingale Spaces[J].Chinese Annals of Mathematics,Series B,2011,32(5):781-792.
4Cui Lan WU.A Characterization of Some Weighted Inequalities for the Vector-valued Weighted Maximal Function[J].Acta Mathematica Sinica,English Series,2010,26(11):2191-2198.
5陈伟,刘培德.SEVERAL WEAK-TYPE WEIGHTED INEQUALITIES IN ORLICZ MARTINGALE CLASSES[J].Acta Mathematica Scientia,2011,31(3):1041-1050. 被引量：3
6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
7FAN Liping LIU Peide.An Extrapolation Theorem on Martingale Spaces with A_p Weights[J].Wuhan University Journal of Natural Sciences,2009,14(6):465-469.
8Zhu Xuexian (Peking University, China).WEIGHTED INEQUALITIES FOR CERTAIN MAXIMAL FUNCTIONS IN ORLICZ SPACES[J].Analysis in Theory and Applications,2001,17(4):65-76.
9Jiecheng Chen,Shaoyong He,Xiangrong Zhu.Oscillatory Strongly Singular Integral Associated to the Convex Surfaces of Revolution[J].Analysis in Theory and Applications,2016,32(4):396-404.
10殷承元.Higher Singular Integral and Its Application[J].Chinese Quarterly Journal of Mathematics,1996,11(3):8-12.

Analysis in Theory and Applications

2015年第3期

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Weak Type Weighted Inequalities for the Commutators of the Multilinear Calderón-Zygmund Operators

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