Martingale transforms on Banach function spaces

被引：7
|
作者：
Ho, Kwok-Pun [1 ]
机构：
[1] Hong Kong Inst Educ, Dept Math & Informat Technol, Tai Po, 10 Lo Ping Rd, Hong Kong, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 06期
关键词：
martingale transform; Banach function spaces; Orlicz spaces; Lorentz-Karamata spaces; variable Lebesgue spaces; Morrey spaces;
D O I：
10.3934/era.2022114
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund. The main result also yields the boundedness of the martingale transforms on rearrangement-invariant Banach function spaces, Orlicz spaces, Lorentz-Karamata spaces, Zygmund spaces, Lebesgue spaces with variable exponents, Morrey spaces with variable exponents and Lorentz-Karamata Morrey spaces.
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页码：2247 / 2262
页数：16
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