Spaces of type BLO on non-homogeneous metric measure

被引：28

作者：

Lin, Haibo ^{[2
]}

Yang, Dachun ^{[1
]}

机构：

[1] Beijing Normal Univ, Minist Educ, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China

[2] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2011年 / 6卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Upper doubling; geometrically doubling; RBLO(mu); maximal operator; Calderon-Zygmund maximal operator; NON-DOUBLING MEASURES; BMO;

D O I：

10.1007/s11464-011-0098-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, d, mu) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this paper, we introduce the space RBLO(mu) and prove that it is a subset of the known space RBMO(mu) in this context. Moreover, we establish several useful characterizations for the space RBLO(mu). As an application, we obtain the boundedness of the maximal Calderon-Zygmund operators from L-infinity(mu) to RBLO(mu).

引用

页码：271 / 292

页数：22

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