Unconditional basis recursively generated in Lp on compact sets

We construct an unconditional basis in the Banach space Lp(Ω, ρ) for p ＞ 1 by using the refinement equation and the basic operation of translation and scale, where Ω is a compact subset in Rn. We also give an algorithm of how to construct an unconditional basis in Lp(Ω, ρ). At the end of this paper, we give the characterization of the functions in Lp(Ω, ρ) by using the wavelet coefficients.

作 者： LI Bingzheng LI Jun   作者單位： Department of Mathematics,Zhejiang University,Hangzhou 310028,China  刊 名： 中國科學A輯（英文版）  SCI 英文刊名： SCIENCE IN CHINA SERIES A (MATHEMATICS)  年，卷(期)： 2005 48(12)  分類號： O1  關鍵詞： unconditional basis   wavelets   multiresolution analysis   simple martingale  

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