Decomposition of Besov and Triebel-Lizorkin spaces on the sphere

被引：103
|
作者：
Narcowich, F.
Petrushev, P. [1 ]
Ward, J.
机构：
[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA
[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 238卷 / 02期
基金：
美国国家科学基金会;
关键词：
Besov space; Triebel-Lizorkin space; Littlewood-Paley theory; spherical harmonics; frame; m-term approximation;
D O I：
10.1016/j.jfa.2006.02.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A discrete system of almost exponentially localized elements (needlets) on the n-dimensional unit sphere S-n is constructed. It shown that the needlet system can be used for decomposition of Besov and Triebel-Lizorkin spaces on the sphere. As an application of Besov spaces on S-n, a Jackson estimate for nonlinear in-term, approximation from the needlet system is obtained. (C) 2006 Elsevier Inc. All rights reserved.
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页码：530 / 564
页数：35
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