Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L\log \log L$ versions of Stein's and Zygmund's theorems for the Hardy
  space $H^{\log}(\mathbb{R}^d)$   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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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn