Some characterizations of local bmo and h1 on metric measure spaces

被引：13

作者：

Dafni, Galia ^{[1
]}

Yue, Hong ^{[2
]}

机构：

[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada

[2] Georgia Coll, Dept Math, Milledgeville, GA 31061 USA

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2012年 / 2卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

HARDY-SPACES; DECOMPOSITION; INEQUALITIES; LEMMAS;

D O I：

10.1007/s13324-012-0034-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study, in the setting of a doubling metric measure space, the local bmo space and Hardy space h(1) defined by Goldberg. We state a John-Nirenberg type inequality for the local bmo space and give two proofs, via a good-lambda inequality and via duality. We also prove the boundedness of the Hardy-Littlewood maximal function from bmo to bmo. Finally, we give characterizations of bmo and h(1) using alternative mean-oscillation and moment conditions.

引用

页码：285 / 318

页数：34

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