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.
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页码：741 / 761
页数：21
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