论文标题
硬质 - amalgam空间的双重表征
New characterization of the duals of Hardy-amalgam spaces
论文作者
论文摘要
在本文中,继续我们对Hardy-Amalgam空间进行研究$ \ MATHCAL H^{(q,q,p)} $和$ \ MATHCAL { 1 <p <+\ infty $。此外,当$ 0 <q \ leq p \ leq 1 $时,这些特征与我们较早的论文中获得的特征相吻合。因此,当$ 0 <q \ leq1 $和$ 0 <q \ leq p <+\ infty $时,我们获得了Hardy-Amalgam空间的双重空间的统一表征。
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 $0<q\leq p<+\infty$.