Pointwise estimates for the maximal multilinear singular integral operators  

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》2005年第12期1696-1706,共11页中国科学：数学（英文版）

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.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). 

分 类 号：O175.3[理学—数学]