Pointwise estimates for the maximal multilinear singular integral operators

查看全文 作　　者：HU Guo’en, LI Dengfeng & LU Shanzhen 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;Department of Mathematics, Beijing Normal University, Beijing 100875, China 出　　处：《Science China Mathematics》索引2005年第48卷第12期,共11页 基　　金：supported by the National Natural Science Foundation of China(Grant Nos.10271015&60272042);the 973 Project of China(Grant No.G19990751). 摘　　要：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. 关 键 词：MULTILINEAR SINGULAR integral,maximal operator,BMO (Rn),BLO (Rn).