Inner-outer factorization on $\mathcal{Q}_p$ spaces

Abstract

It is well known that every function in Hardy space can be factorized into an inner function and outer function. Since the factorization is unique, if we fix a function in Hardy space, inner and outer factors must be control by each other. In this note, we give an inner-outer factorization on $\mathcal{Q}_p$ spaces and some subspace of $\mathcal{Q}_p$ spaces, where $p \in (0,1)$.