Interpolation of Haagerup noncommutative Hardy spaces

Abstract

Let $\mathcal{M}$ be a $\sigma$-finite von Neumann algebra equipped with a normal faithful state $\phi$, and let $\mathcal{A}$ be a maximal subdiagonal algebra of $\mathcal{M}$. We prove a Stein–Weiss-type interpolation theorem of Haagerup noncommutative $H^p$-spaces associated with $\mathcal{A}$.