Factorization of absolutely continuous polynomials

In this paper we study the ideal of dominated ( p ; σ ) -continuous polynomials, that extend the nowadays well known ideal of p -dominated polynomials to the more general setting of the interpolated ideals of polynomials. We give the polynomial version of Pietsch’s factorization Theorem for this new ideal. Although based on Botelho et al. (in press) [16], our factorization theorem requires new techniques inspired in the theory of Banach lattices.