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arXiv · 1901.02311

Martingale Hardy-Amalgam Spaces: Atomic decompositions and duality

Justice Sam Bansah·Benoît F. Sehba
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Abstract

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.

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Justice Sam Bansah, Benoît F. Sehba. 2019-01-08. Martingale Hardy-Amalgam Spaces: Atomic decompositions and duality. https://arxiv.org/abs/1901.02311

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