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

页码：267 / 284

页数：18

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