Interpolation of Lorentz martingale spaces  

作　　者：REN YanBo GUO TieXin 

机构地区：[1]School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China [2]LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China

出　　处：《Science China Mathematics》2012年第9期1951-1959,共9页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No. 11171015)

摘　　要：In this paper,we apply function parameters,introduced by Persson,to real interpolation of Lorentz martingale spaces.Some new interpolation theorems concerning Lorentz martingale spaces are formulated.The results that we obtain generalize some fundamental interpolation theorems in classical martingale Hp theory.In this paper, we apply function parameters, introduced by Persson, to real interpolation of Lorentz martingale spaces. Some new interpolation theorems concerning Lorentz martingale spaces are formulated. The results that we obtain generalize some fundamental interpolation theorems in classical martingale Hp theory.

关 键 词：MARTINGALE Lorentz space INTERPOLATION function parameter 

分 类 号：O177.3[理学—数学] O211.6[理学—基础数学]