TRIGONOMETRIC QUASI-GREEDY BASES FOR Lp (T; w)

被引：3
|
作者：
Nielsen, Morten [1 ]
机构：
[1] Univ Aalborg, Dept Math Sci, DK-9220 Aalborg, Denmark
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2009年 / 39卷 / 04期
关键词：
Quasi-greedy basis; Schauder basis; trigonometric system; ALGORITHM; APPROXIMATION; COMPRESSION; CONVERGENCE; TRANSFORM;
D O I：
10.1216/RMJ-2009-39-4-1267
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a complete characterization of 2 pi-periodic weights w for which the usual trigonometric system forms a quasi-greedy basis for L-p(T; w), i.e., bases for which simple thresholding approximants converge in norm. The characterization implies that this call happen only for p = 2 and whenever the system forms a quasi-greedy basis, the basis must actually be a Riesz basis.
引用
收藏
页码：1267 / 1278
页数：12
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