THE HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT AND THEIR APPLICATIONS

被引：58
|
作者：
Wang, Hongbin [1 ]
Liu, Zongguang [1 ]
机构：
[1] China Univ Min & Technol Beijing, Dept Math, Beijing 100083, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Herz-type Hardy space; Variable exponent; Atomic decomposition; Molecular decomposition; Operators; MAXIMAL-FUNCTION; BOUNDEDNESS; OPERATORS;
D O I：
10.11650/twjm/1500406739
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a certain Herz-type Hardy spaces with variable exponent are introduced, and characterizations of these spaces are established in terms of atomic and molecular decompositions. Using these decompositions, the authors obtain the boundedness of some operators on the Herz-type Hardy spaces with variable exponent.
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页码：1363 / 1389
页数：27
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