Dyadic Martingale Hardy-amalgam spaces: Embeddings and Duality

Abstract

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