arXiv subjects

Justice Sam Bansah

Publications and source records attributed to Justice Sam Bansah.

2 recordsLinked to original sources

arXiv2021

Dyadic Martingale Hardy-amalgam spaces: Embeddings and Duality

We present in this paper some embeddings of various dyadic martingale Hardy-amalgam spaces $H^S_{p,q},\,\, H^s_{p,q},\,\,H^*_{p,q},\,\,\mathcal{Q}_{p,q}$ and $\mathcal{P}_{p,q}$ of the real line. In the same settings, we characterize the dual of $H^s_{p,q}$ for large $p$ and $q$. We also introduce a Garsia-type space $\mathcal{G}_{p,q}$ and characterize its dual space.

math.CA↗

arXiv2020

Martingale Hardy-Amalgam Spaces: Atomic decompositions and duality

In this paper, we introduce the notion of martingale Hardy-amalgam spaces: $ H^s_{p,q},\,\,\mathcal{Q}_{p,q}$ and $\mathcal{P}_{p,q}$. We present two atomic decompositions for these spaces. The dual space of $H^s_{p,q}$ for $0<p\le q\le 1$ is shown to be a Campanato-type space.

math.CA↗