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| Unconditional basis recursively generated in L~p on compact sets | |
| 引用本文： | LI Bingzheng & LI Jun Department of Mathematics,Zhejiang University,Hangzhou 310028,China. Unconditional basis recursively generated in L~p on compact sets[J]. 中国科学A辑(英文版), 2005, 48(12). DOI: 10.1360/022005-023 |
| 作者姓名： | LI Bingzheng & LI Jun Department of Mathematics Zhejiang University Hangzhou 310028 China |
| 作者单位： | LI Bingzheng & LI Jun Department of Mathematics，Zhejiang University，Hangzhou 310028，China |
| 摘 要： | 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. |
Unconditional basis recursively generated in Lp on compact sets |
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| LI Bingzheng,LI Jun. Unconditional basis recursively generated in Lp on compact sets[J]. Science in China(Mathematics), 2005, 48(12). DOI: 10.1360/022005-023 | |
| Authors: | LI Bingzheng LI Jun |
| Affiliation: | Department of Mathematics,Zhejiang University,Hangzhou 310028,China |
| Abstract: | 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. |
| Keywords: | unconditional basis wavelets multiresolution analysis simple martingale. |
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