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 $0<q\le 1<p<+\infty$. Moreover, when $0<q\le p\le 1$, 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 $0<q\le 1$ and $0<q\le p<+\infty$.

30 pages. arXiv admin note: text overlap with arXiv:1803.03561