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 algo...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.展开更多
文摘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.
