Haar functions in weighted Besov and Triebel-Lizorkin spaces

被引：5
|
作者：
Malecka, Agnieszka [1 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
JOURNAL OF APPROXIMATION THEORY | 2015年 / 200卷
关键词：
Muckenhoupt weights; Haar wavelets; Besov spaces; Triebel-Lizorkin spaces; Local means; APPROXIMATION NUMBERS; MUCKENHOUPT WEIGHTS; ENTROPY; INTERPOLATION; EMBEDDINGS;
D O I：
10.1016/j.jat.2015.07.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper deals with Haar wavelet bases in function spaces of Besov and Triebel-Lizorkin type with local Muckenhoupt weights. We show that Haar wavelets can be used to characterize such function spaces as far as absolute value of smoothness parameter is small enough and weights fulfill some conditions. The result is based on mapping properties of linear operators involving characteristic functions of dyadic cubes in related spaces and on local means characterization of weighted Besov and Triebel-Lizorkin spaces. (c) 2015 Elsevier Inc. All rights reserved.
引用
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页码：1 / 27
页数：27
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