Weak Musielak-Orlicz Hardy Spaces

被引：0
|
作者：
Yang, Dachun [1 ]
Liang, Yiyu [2 ]
Luong Dang Ky [3 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing, Peoples R China
[2] Beijing Jiaotong Univ, Sch Sci, Dept Math, Beijing, Peoples R China
[3] Univ Quy Nhon, Dept Math, Quy Nhon, Vietnam
来源：
REAL-VARIABLE THEORY OF MUSIELAK-ORLICZ HARDY SPACES | 2017年 / 2182卷
关键词：
D O I：
10.1007/978-3-319-54361-1_7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this chapter, we introduce the weak Musielak-Orlicz Hardy space (WHRn)-R-phi() via the grand maximal function and then obtain its vertical or its non-tangential maximal function characterizations. We also establish other real- variable characterizations of (WHRn)-R-phi(), respectively, by means of the atom, the molecule, the Lusin area function, the Littlewood- Paley g- function or the g(lambda)(*)-function. As an application, the boundedness of Calderon-Zygmund operators from H-phi(R-n) to WH phi(R-n) in the critical case is presented.
引用
收藏
页码：195 / 253
页数：59
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