Interpolation of Lorentz martingale spaces

被引：7
作者：
Ren YanBo [1 ,2 ,3 ]
Guo TieXin [2 ,3 ]
机构：
[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471003, Peoples R China
[2] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
[3] Beihang Univ, LMIB, Beijing 100191, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 09期
基金：
中国国家自然科学基金;
关键词：
martingale; Lorentz space; interpolation; function parameter; PARAMETER;
D O I：
10.1007/s11425-012-4397-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 H (p) theory.
引用
收藏
页码：1951 / 1959
页数：9
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