Besov spaces on bounded symmetric domains

Abstract

We define and study a class of holomorphic Besov type spaces $B^p$, $0<p<1$, on bounded symmetric domains $\mathrm{\Omega }$. We show that the dual of holomorphic Besov space $B^p$, $0<p<1$, on bounded symmetric domain $\mathrm{\Omega }$ can be identified with the Bloch space ${\mathcal{B}}^{\mathrm{\infty }}$.