Martingale Hardy-Amalgam Spaces: Atomic decompositions and duality

Abstract

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

31 pages