BOUNDEDNESS FOR MULTILINEAR COMMUTATORS OF INTEGRAL OPERATORS IN HARDY AND HERZ-HARDY SPACES ON HOMOGENEOUS SPACES

被引：0

作者：

Chen Xianyi ^{[1
]}

Liu Lanzhe ^{[1
]}

机构：

[1] Hunan Univ, Coll Math, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2011年 / 5卷 / 03期

关键词：

Singular integral; multilinear commutator; BMO; Hardy space; Herz-Hardy space; space of homogeneous type; SINGULAR-INTEGRALS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall study the Hardy-boundedness for the multilinear commutators related to the singular integral operators on the space of homogeneous type. By using the Holder's inequalities and the L(q)(1 < q < infinity) boundedness for the singular integral operators on the space of homogeneous type, we obtain the (H((b) over right arrow)(p), L(p)) and (HK(q,(b) over right arrow)(alpha,p) , K(q)(alpha,p)) type boundedness for the multilinear commutators on the space of homogeneous type.

引用

页码：307 / 319

页数：13

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