Dual Spaces of Multiparameter Local Hardy Spaces

被引：2
|
作者：
Ding, Wei [1 ]
Yu, Feng [1 ]
机构：
[1] Nantong Univ, Sch Sci, Nantong 226007, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷
基金：
中国国家自然科学基金;
关键词：
CALDERON-ZYGMUND THEORY; SINGULAR-INTEGRALS; JOURNES CLASS; HP-THEORY; BOUNDEDNESS; HOMOGENEITIES; DECOMPOSITION; OPERATORS; VERSION; BMO;
D O I：
10.1155/2021/9619925
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the duality theory of the multiparameter local Hardy spaces h(p)Double-struck capital R(n1)xDouble-struck capital R-n2, and we prove that h(p)Double-struck capital R(n1)xDouble-struck capital R-n2*=cmopDouble-struck capital R(n1)xDouble-struck capital R-n2, where cmo(p)Double-struck capital R(n1)xDouble-struck capital R-n2 are defined by discrete Carleson measure. Moreover, we discuss the relationship among cmo(p)Double-struck capital R(n1)xDouble-struck capital R-n2, Lip(p)Double-struck capital R(n1)xDouble-struck capital R-n2, and rectangle cmo(rect)(p)Double-struck capital R(n1)xDouble-struck capital R-n2.
引用
收藏
页数：12
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