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.

引用

页数：10

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