Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces

被引：0
|
作者：
Kwok-Pun Ho
机构：
[1] The Education University of Hong Kong,Department of Mathematics and Information Technology
来源：
Periodica Mathematica Hungarica | 2020年 / 81卷
关键词：
Martingale transforms; Fractional integrals; Rearrangement-invariant spaces; Interpolation; Martingale; Hardy spaces; Orlicz spaces; Grand Lebesgue spaces; Lorentz–Karamata spaces; 60G42; 60G46; 46E30; 42B20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish an interpolation result for the rearrangement-invariant martingale Hardy spaces. By using this interpolation result, we extend the mapping properties of the martingale transforms and the fractional integrals on martingale function spaces. In particular, we obtain the mapping properties on the martingale Hardy–Orlicz spaces, the grand martingale Hardy spaces and the martingale Hardy–Lorentz–Karamata spaces.
引用
收藏
页码：159 / 173
页数：14
相关论文
共 50 条
12345