A characterization of Triebel-Lizorkin spaces and Besov spaces by BMO families expansion

被引：0

作者：

Noi, Takahiro ^{[1
]}

机构：

[1] Chuo Univ, Dept Math, Grad Sch Sci & Engn, Bunkyo Ku, Tokyo 1128551, Japan

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2012年 / 19卷 / 04期

关键词：

Wavelets; Triebel-Lizorkin spaces; Besov spaces; BMO;

D O I：

10.1515/gmj-2012-0038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

P. Tchamitchian has constructed an atomic decomposition of the real Hardy space H-1(R-n) with L-p-atoms (1 < p < infinity) by rearrangements of wavelet expansion. In this paper, we give a characterization of Triebel-Lizorkin spaces F-p,q(s)(R-n) and Besov spaces B-p,q(s)(R-n) by a BMO family expansion by applying the arguments above.

引用

页码：741 / 761

页数：21

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