INTERPOLATION ON WEAK MARTINGALE HARDY-TYPE SPACES ASSOCIATED WITH QUASI-BANACH FUNCTION LATTICE

被引：0
|
作者：
Silas, N. [1 ]
Tian, H. [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410075, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2023年 / 170卷 / 2期
关键词：
quasi-Banach function lattice; weak martingale Hardy-type space; interpolation; LORENTZ SPACES; THEOREMS;
D O I：
10.1007/s10474-023-01360-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the real interpolation spaces between weak martingale Hardy-type spaces WHXs(Omega) and martingale Hardy space H-infinity(s) (Omega) associated with quasi-Banach function lattice by using atomic characterizations of weak martingale Hardy-type spaces. As applications, we obtain the corresponding results on the weighted Lorentz space and the generalized grand Lebesgue space. We point out that even in these special cases, the results obtained in this article are also new.
引用
收藏
页码：551 / 572
页数：22
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