New characterization of the duals of Hardy-amalgam spaces

Abstract

In this paper, carrying on with our study of the Hardy-amalgam spaces $\mathcal H^{(q,p)}$ and $\mathcal{H}_{\mathrm{loc}}^{(q,p)}$ ($0<q,p<+\infty$), we give a characterization of their duals whenever $0<q\leq 1<p<+\infty$. Moreover, when $0<q\leq p\leq 1$, these characterizations coincide with those obtained in our earlier papers. Thus, we obtain a unified characterization of the dual spaces of Hardy-amalgam spaces, when $0<q\leq1$ and $0<q\leq p<+\infty$.