Another proof of the boundedness of Calder?n-Zygmund singular integrals on generalized Orlicz spaces

被引：1
|
作者：
Wang, Songbai [1 ]
Zhou, Jiang [2 ]
机构：
[1] Chongqing Three Gorges Univ, Coll Math & Stat, Chongqing 404130, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2022年 / 179卷
基金：
中国国家自然科学基金;
关键词：
Calder?n-Zygmund singular integral operator; Generalized Orlic space; Hardy space;
D O I：
10.1016/j.bulsci.2022.103176
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the atomic decomposition of the generalized Orlicz- Hardy space to reprove that Calderon-Zygmund singular integrals are bounded on the generalized Orlicz space, which was obtained in [7, Corollary 6.2] where the authors applied extrapolation on the generalized Orlicz space to prove it. By our method, we assume a weaker regularity on the kernel of Calderon-Zygmund singular integral operators.(c) 2022 Elsevier Masson SAS. All rights reserved.
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页数：18
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