L ~ P. Tight Support Unconditionally Based Iterative Generated

The main content of this paper is below:First, We construct the isometry operators from L~p(Ω,ρ) to L~p(Ω,ρ) (p > 1), then use the operators to generate MRA on L~p(Ω,ρ). With the same method, we also generate MRA on L~q(Ω,ρ) (q = p/(p-1)).Secondly, We construct the unconditional basis of L~p(Ω,ρ) and L~q(Ω,ρ) by martingale's property. And also prove the unconditional basis is a monotone basis. We give the algorithm of generating unconditional basis.Finally, We give the characterization of L~p(Ω,ρ) and L~q(Ω,ρ) by using the unconditional basis coefficients.