Wavelets Convergence and Unconditional Bases for Lp(ℝn)‎ and H1(ℝn)‎

الملخص EN

We prove that reasonable nice wavelets form unconditional bases in function space other than L2(ℝn, X).

Moreover, characterization of convergence of wavelets series in Lp(ℝn, X) space and Hardy space H1(ℝn,X) has been obtained.

Here, X is a Banach space with boundedness of Riesz transform.