Unconditional wavelet bases in Lebesgue spaces

被引：3
作者：
Zhang, Yan [1 ]
Li, Yun-Zhang [2 ]
机构：
[1] North Minzu Univ, Sch Math & Informat Sci, Yinchuan, Peoples R China
[2] Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
来源：
TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Wavelet basis; unconditional basis; unconditional wavelet basis;
D O I：
10.3906/mat-1606-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that an orthonormal wavelet basis associated with a general isotropic expansive matrix must be an unconditional basis for all L-P (R-d) with 1 < p < infinity, provided the wavelet functions satisfy some usual conditions.
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页码：83 / 107
页数：25
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