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arXiv · 1905.13477

$L\log \log L$ versions of Stein's and Zygmund's theorems for the Hardy space $H^{\log}(\mathbb{R}^d)$

Odysseas Bakas·Salvador Rodríguez-López·Alan Sola
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Abstract

We obtain versions of some classical results of Zygmund and Stein for functions belonging to the Hardy space $H^{\log} (\mathbb{R}^d)$ introduced by Bonami, Grellier, and Ky. We present further applications in the context of more general Orlicz spaces.

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Odysseas Bakas, Salvador Rodríguez-López, Alan Sola. 2019-05-31. $L\log \log L$ versions of Stein's and Zygmund's theorems for the Hardy space $H^{\log}(\mathbb{R}^d)$. https://arxiv.org/abs/1905.13477

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