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.
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页码：285 / 318
页数：34
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