A look at BMOφ (ω) through carleson measures

被引：31
|
作者：
Harboure, Eleonor [1 ]
Salinas, Oscar [1 ]
Viviani, Beatriz [1 ]
机构：
[1] Inst Matemat Aplicada Litoral, RA-3000 Santa Fe, Argentina
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2007年 / 13卷 / 03期
关键词：
weigths; bounded mean oscillation; characterizations; Carleson measure;
D O I：
10.1007/s00041-005-5044-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
As Fefferman and Stein showed, there is a tight connection between Carleson measures and BMO functions. In this work we extend this type of results to the more general scope of the BMO phi (omega) spaces. As a byproduct a weighted version of the Triebel-Lizorkin space F-infinity,2(0) is introduced, which turns out to be isomorphic to BMO(omega) as in the unweighted case.
引用
收藏
页码：267 / 284
页数：18
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