Pre-wavelet bases in Lebesgue spaces

Journal of inequalities and applications

Chiou-Yueh Gun¹ 

关键词: bijectivity;    Calderón-Zygmund decomposition theorem;    frame;    Riesz basis;    semi-orthogoal;    unconditional basis;    wavelet;    Wiener’s lemma;    42C40;    42C15;   

DOI  :  10.1186/s13660-015-0811-4

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY