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Pointwise estimates for the maximal multilinear singular integral operators
Authors:Hu?Guo’en  Li?Dengfeng  Email author" target="_blank">Lu?ShanzhenEmail author
Institution:1. Department of Applied Mathematics,University of Information Engineering,P. O. Box 1001-747,Zhengzhou 450002,China;College of Mathematical and Information Sciences,Henan University,Kaifeng 475001,China
2. College of Mathematical and Information Sciences,Henan University,Kaifeng 475001,China
3. Department of Mathematics,Beijing Normal University,Beijing 100875,China
Abstract:Two pointwise estimates relating the maximal multilinear singular integral operators and some classical maximal operators are established. These pointwise estimates imply the rearrangement estimate and the BLO(Rn) estimate for the maximal multilinear singular integral operators.
Keywords:multilinear singular integral  maximal operator  BMO(Rn)  BLO(Rn)  
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