A NEW CHARACTERIZATION OF REGULARIZED BMO SPACES ON NON-HOMOGENEOUS SPACES AND ITS APPLICATIONS

被引：8
|
作者：
Hu, Guoen
Meng, Yan [1 ]
Yang, Dachun
机构：
[1] Zhengzhou Informat Sci & Technol Inst, Dept Appl Math, Zhengzhou 450002, Peoples R China
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2013年 / 38卷 / 01期
基金：
中国国家自然科学基金;
关键词：
RBMO(mu); Calderon-Zygmund operator; upper doubling measure; geometrically doubling; metric measure space; CALDERON-ZYGMUND OPERATORS; THEOREM; INEQUALITIES; H-1;
D O I：
10.5186/aasfm.2013.3809
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 and satisfy the so-called upper doubling condition and the geometrically doubling condition. Under this assumption, in this paper, the authors establish a new characterization of the space RBMO(mu). As applications, the authors prove that the L-P(mu)-boundedness with p is an element of (1, infinity) of the Calderon-Zygmund operator is equivalent to its various endpoint estimates.
引用
收藏
页码：3 / 27
页数：25
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