New characterization of the duals of Hardy-amalgam spaces

preprint2020arXivOpen access

Abstract

In this paper, carrying on with our study of the Hardy-amalgam spaces H(q,p)\mathcal H^{(q,p)} and Hloc(q,p)\mathcal{H}_{\mathrm{loc}}^{(q,p)} (0<q,p<+∞0<q,p<+\infty), we give a characterization of their duals whenever 0<q≤1<p<+∞0<q\leq 1<p<+\infty. Moreover, when 0<q≤p≤10<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≤10<q\leq1 and 0<q≤p<+∞0<q\leq p<+\infty.

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