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Martingale Hardy-Amalgam Spaces: Atomic decompositions and duality

Published 8 Jan 2019 in math.CA and math.PR | (1901.02311v4)

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

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