Herz-Type Hardy Spaces Associated with Operators

被引：0
|
作者：
Chai, Yan [1 ]
Han, Yaoyao [1 ]
Zhao, Kai [1 ]
机构：
[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷
基金：
中国国家自然科学基金;
关键词：
SELF-ADJOINT OPERATORS; BMO; BOUNDEDNESS; DUALITY; VERSION;
D O I：
10.1155/2018/1296837
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L.. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz-type Hardy spaces associated with operator L. As applications, the boundedness of some singular integral operators on Herz-type Hardy spaces associated with operators is obtained.
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页数：10
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