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Compactness for the commutators of multilinear singular integral operators with non-smooth kernels 被引量：2

Compactness for the commutators of multilinear singular integral operators with non-smooth kernels
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摘要 In this paper, the behavior for commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the product of weighted Lebesgue spaces is considered. By some new maximal functions to control the commutators of bilinear singular integral operators and CMO(Rn) functions, compactness for the commutators is proved. In this paper, the behavior for commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the product of weighted Lebesgue spaces is considered. By some new maximal functions to control the commutators of bilinear singular integral operators and CMO(Rn) functions, compactness for the commutators is proved.
作者 BU Rui CHEN Jie-cheng
机构地区 Department of Mathematics Department of Mathematics
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2019年第1期55-75,共21页 高校应用数学学报（英文版）（B辑）
基金 Supported by the Natural Science Foundation of Shandong Province(Nos.ZR2018PA004 and ZR2016AB07) the National Natural Science Foundation of China(Nos.11571306 and 11671363)
关键词 singular integral OPERATOR maximal function weighted norm inequality COMMUTATOR compact OPERATOR singular integral operator maximal function weighted norm inequality commutator compact operator
分类号 O1 [理学—基础数学]
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  • 1丁勇,陆善镇,张璞.Weak estimates for commutators of fractional integral operators[J].Science China Mathematics,2001,44(7):877-888. 被引量：15
  • 2HU GuoEn Department of Applied Mathematics, Zhengzhou Information Sciences and Technology Institute,Zhengzhou 450002, China.Weighted norm inequalities for the multilinear Calderón-Zygmund operators[J].Science China Mathematics,2010,53(7):1859-1872. 被引量：5
  • 3Yong DING,Shan Zhen LU,Kz YABUTA.Multilinear Singular and Fractional Integrals[J].Acta Mathematica Sinica,English Series,2006,22(2):347-356. 被引量：8
  • 4Osvaldo GOROSITO,Gladis PRADOLINI,Oscar SALINAS.Weighted Weak-type Estimates for Multilinear Commutators of Fractional Integrals on Spaces of Homogeneous Type[J].Acta Mathematica Sinica,English Series,2007,23(10):1813-1826. 被引量：5
  • 5Coifman, R. R., Meyer, Y.: On commutators of singular integrals and bilinear singular integrals. Trans. Amer. Math. Soc., 212, 315-331 (1975).
  • 6Coifman, R. R., Meyer, Y.: Nonlinear Harmonic Analysis, Operator Theory and P. D. E. In: Beijing Lec- tures in Harmonic Analysis (Beijing, 1984), Ann. Math. Stud. 112, Princeton University Press, Princeton, 1986, 3-45.
  • 7Grafakos, L., Torres, R. H.: Maximal operators and weighted norm inequalities for multilinear singular integrals. Indiana Univ. Math. J., 51, 1261-1276 (2002).
  • 8Grafakos, L., Torres, R. H.: Multilinear Calder6n-Zygmund theory. Adv. in Math., 165, 124-164 (2002).
  • 9Lerner, A. K., Ombrosi, S., P@rez, C., et al.: New maximal functions and multiple weights for the multilinear CalderSn-Zygmund theory. Adv. in Math., 220, 1222-1264 (2009).
  • 10Duong, X., Grafakos, L., Yan, L.: Multilinear operators with non-smooth kernels and commutators of singular integrals. Trans. Amer. Math. Soc., 362(4), 2089-2113 (2010).

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Applied Mathematics(A Journal of Chinese Universities)
2019年 第1期

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