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

页码：1267 / 1278

页数：12

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