### Factorization of sequences in discrete Hardy spaces

The purpose of this paper is to obtain a discrete version for the Hardy spaces ${H}^{p}\left(\mathbb{Z}\right)$ of the weak factorization results obtained for the real Hardy spaces ${H}^{p}\left(\mathbb{R}\u207f\right)$ by Coifman, Rochberg and Weiss for p > n/(n+1), and by Miyachi for p ≤ n/(n+1). It represents an extension, in the one-dimensional case, of the corresponding result by A. Uchiyama who obtained a factorization theorem in the general context of spaces X of homogeneous type, but with some restrictions on the measure that exclude the case of points...