Pre-wavelet bases in Lebesgue spaces

被引：0
作者：
Chiou-Yueh Gun
Kai-Cheng Wang
Chi-I Yang
Kuei-Fang Chang
机构：
[1] Nan-Kai University of Technology,Department of Mechanical Engineering
[2] Feng-Chia University,Ph.D. Program in Mechanical and Aeronautical Engineering
[3] Feng-Chia University,Department of Applied Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
bijectivity; Calderón-Zygmund decomposition theorem; frame; Riesz basis; semi-orthogoal; unconditional basis; wavelet; Wiener’s lemma; 42C40; 42C15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Under the decay condition, we have constructed the dual wavelet basis of a pre-wavelet basis. The frame operators of both bases are bijective on Lebesgue spaces. Both bases are also unconditional bases for Lebesgue spaces.
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