Anisotropic weak Hardy spaces and interpolation theorems

被引：10

作者：

Ding Yong ^{[1
,2
]}

Lan SenHua ^{[1
,3
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Minist Educ, Key Lab Math & Complex Syst, Beijing 100875, Peoples R China

[3] Lishui Univ, Dept Math, Lishui 323000, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 09期

基金：

中国国家自然科学基金;

关键词：

anisotropic Hardy space; anisotropic weak Hardy space; atomic decomposition; interpolation; singular integral;

D O I：

10.1007/s11425-008-0009-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors establish the anisotropic weak Hardy spaces associated with very general discrete groups of dilations. Moreover, the atomic decomposition theorem of the anisotropic weak Hardy spaces is also given. As some applications of the above results, the authors prove some interpolation theorems and obtain the boundedness of the singular integral operators on these Hardy spaces.

引用

页码：1690 / 1704

页数：15

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