Weighted norm inequalities with multiple-weight for singular integral operators with non-smooth kernels
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  • 作者:Rui Bu ; Houyu Jia
  • 关键词:Singular integral operator ; multiple weight ; sharp maximal function ; weighted estimate ; approximation to identity ; 42B20
  • 刊名:Frontiers of Mathematics in China
  • 出版年:2016
  • 出版时间:February 2016
  • 年:2016
  • 卷:11
  • 期:1
  • 页码:1-19
  • 全文大小:211 KB
  • 参考文献:1.Coifman R R, Meyer Y. On commutators of singular integrals and bilinear singular integrals. Trans Amer Math Soc, 1975, 212: 315鈥?31MATH MathSciNet CrossRef
    2.Coifman R R, Meyer Y. Nonlinear harmonic analysis, operator theory and PDE. In: Beijing Lectures in Harmonic Analysis. Ann of Math Stud, 112. Princeton: Princeton Univ Press, 1986, 3鈥?5
    3.Duong X, Gong R, Grafakos L, Li J, Yan L. Maximal operator for multilinear singular integrals with non-smooth kernels. Indiana Univ Math J, 2009, 58: 2517鈥?541MATH MathSciNet CrossRef
    4.Duong X, Grafakos L, Yan L. Multilinear operators with non-smooth kernels and commutators of singular integrals. Trans Amer Math Soc, 2010, 362: 2089鈥?113MATH MathSciNet CrossRef
    5.Grafakos L, Liu L, Yang D. Multiple-weighted norm inequalities for maximal multilinear singular integrals with non-smooth kernels. Proc Roy Soc Edinburgh Sect A, 2011, 141: 755鈥?75MATH MathSciNet CrossRef
    6.Grafakos L, Torres R H. Maximal operator and weighted norm inequalities for multilinear singular integrals. Indiana Univ Math J, 2002, 51: 1261鈥?276MATH MathSciNet CrossRef
    7.Grafakos L, Torres R H. Multilinear Calder贸n-Zygmund theory. Adv Math, 2002, 165: 124鈥?64MATH MathSciNet CrossRef
    8.Hu G, Lu S. Weighted estimates for the multilinear singular integral operators with non-smooth kernels. Sci China Math, 2011, 54: 587鈥?02MATH MathSciNet CrossRef
    9.Hu G, Yang D. Weighted estimates for singular integral operators with nonsmooth kernels and applications. J Aust Math Soc, 2008, 85: 377鈥?17MATH MathSciNet CrossRef
    10.Hu G, Zhu Y. Weighted norm inequality with general weights for the commutator of Calder贸n. Acta Math Sin (Engl Ser), 2013, 29: 505鈥?14MATH MathSciNet CrossRef
    11.Jiao Y. A weighted norm inequality for multilinear fourier multiplier operator. Math Inequal Appl, 2014, 17: 899鈥?12MATH MathSciNet
    12.Lerner A K, Ombrosi S, P茅rez C, Torres R H, Trujillo-Gonz谩lez R. New maximal functions and multiple weights for the multilinear Calder贸n-Zygmund theory. Adv Math, 2009, 220: 1222鈥?264MATH MathSciNet CrossRef
    13.Martell J M. Sharp maximal functions associated with approximations of the identity in the space of homogeneous type and applications. Studia Math, 2004, 161: 113鈥?45MATH MathSciNet CrossRef
  • 作者单位:Rui Bu (1)
    Houyu Jia (1)

    1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
  • 刊物类别:Mathematics and Statistics
  • 刊物主题:Mathematics
    Mathematics
    Chinese Library of Science
  • 出版者:Higher Education Press, co-published with Springer-Verlag GmbH
  • ISSN:1673-3576
文摘
By sharp maximal function, we establish a weighted estimate with multiple-weight for the multilinear singular integral operators with non-smooth kernels. Keywords Singular integral operator multiple weight sharp maximal function weighted estimate approximation to identity

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