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 maximal subdiagonal algebra of $\mathcal{M}$. We prove Stein-Weiss type interpolation theorem of Haagerup noncommutative $H^p$-spaces associated with $\A$.

16. arXiv admin note: text overlap with arXiv:2209.08542

References in corpus (2)

• On the maximality of subdiagonal algebras
• A reduction method for noncommutative $L_p$-spaces and applications