WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS  

作　　者：任颜波 郭铁信 

机构地区：[1]School of Mathematics and Systems Science,Beihang University [2]School of Mathematics and Statistics,Henan University of Scinence and Technology

出　　处：《Acta Mathematica Scientia》2012年第3期1157-1166,共10页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(10871016)

摘　　要：In this article, we establish some atomic decomposition theorems for martin- gale Hardy-Lorentz spaces. As applications, with the help of weak atomic decompositions, some interpolation theorems for martingale Hardy-Lorentz spaces are proved.In this article, we establish some atomic decomposition theorems for martin- gale Hardy-Lorentz spaces. As applications, with the help of weak atomic decompositions, some interpolation theorems for martingale Hardy-Lorentz spaces are proved.

关 键 词：Martingale Hardy-Lorentz space weak atom atomic decomposition inter- polation 

分 类 号：O211.6[理学—概率论与数理统计] O562[理学—数学]