Weighted boundedness of multilinear singular integral operators

被引:0
作者
Wei-Ping Kuang
Zhi-Gang Wang
机构
[1] Huaihua University,Department of Mathematics
[2] Anyang Normal University,School of Mathematics and Statistics
来源
Journal of Inequalities and Applications | / 2014卷
关键词
multilinear operator; singular integral operator; sharp maximal function; weighted BMO; weighted Lipschitz function;
D O I
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中图分类号
学科分类号
摘要
In this paper, we establish the weighted sharp maximal function inequalities for the multilinear singular integral operators. As an application, we obtain the boundedness of the multilinear operators on weighted Lebesgue and Morrey spaces.
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  • [1] Coifman RR(1976)Factorization theorems for Hardy spaces in several variables Ann. Math 103 611-635
  • [2] Rochberg R(1995)Endpoint estimate for commutators of singular integral operators J. Funct. Anal 128 163-185
  • [3] Weiss G(2002)Sharp weighted estimates for multilinear commutators J. Lond. Math. Soc 65 672-692
  • [4] Pérez C(1982)A note on commutators Indiana Univ. Math. J 31 7-16
  • [5] Pérez C(1978)Mean oscillation and commutators of singular integral operators Ark. Math 16 263-270
  • [6] Trujillo-Gonzalez R(1995)Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss Indiana Univ. Math. J 44 1-17
  • [7] Chanillo S(1985)A commutator theorem and weighted BMO Trans. Am. Math. Soc 292 103-122
  • [8] Janson S(2008)Necessary and sufficient conditions for boundedness of some commutators with weighted Lipschitz spaces J. Math. Anal. Appl 340 598-605
  • [9] Paluszynski M(2011)Commutators of Marcinkiewicz integrals and weighted BMO Acta Math. Sinica (Chin. Ser.) 54 513-520
  • [10] Bloom S(2011)Necessary and sufficient conditions for boundedness of commutators of strongly singular integral operators with weighted Lipschitz functions Indian J. Pure Appl. Math 42 405-416