2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128910Let $\A$ be a finite subdiagonal algebra in Arveson's sense. Let $H^p(\A)$ be the associated noncommutative Hardy spaces, $0<p\le\8$. We extend to the case of all positive indices most recent results about these spaces, which include notably the Riesz, Szegö and inner-outer type factorizations. One new tool of the paper is the contractivity of the underlying conditional expectation on $H^p(\A)$ for $p<1$.To appear in J. Operator TheoryOperator AlgebrasFunctional AnalysisPrimary 46L52; Secondary, 47L05text