ABSTRACT HARDY SPACES

被引：0
|
作者：
Liu, Yin [1 ,2 ]
机构：
[1] Nanyang Normal Univ, Sch Math & Stat, Zhengzhou 473061, Henan, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2022年 / 25卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hardy spaces; atomic decomposition; molecular decomposition; MAXIMAL-FUNCTION CHARACTERIZATIONS; LIPSCHITZ-DOMAINS; L-P; OPERATORS; DECOMPOSITION;
D O I：
10.7153/mia-2022-25-30
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the abstract Hardy spaces on spaces of homogeneous X. Firstly, we give the definitions of the atomic Hardy spaces H-ato(p) and the molecular Hardy spaces H-epsilon,mol(p)(0 < p < 1). Secondly, we give out the comparison between our Hardy spaces with some other Hardy spaces. Finally, we prove the continuity theorem of the sublinear operator on the Hardy spaces and give an example.
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页码：477 / 493
页数：17
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