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arXiv · 1706.01712

A multiplier inclusion theorem on product domains

Odysseas Bakas
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Abstract

In this note it is shown that the class of all multipliers from the $d$-parameter Hardy space $H^1_{\mathrm{prod}} (\mathbb{T}^d)$ to $L^2 (\mathbb{T}^d)$ is properly contained in the class of all multipliers from $L \log^{d/2} L (\mathbb{T}^d)$ to $L^2(\mathbb{T}^d)$.

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Odysseas Bakas. 2017-06-06. A multiplier inclusion theorem on product domains. https://doi.org/10.1017/s0013091519000087

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