Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $A_1$ Fefferman-Stein inequality for maximal functions of martingales in
  uniformly smooth spaces   Let $f$ be a martingale with values in a uniformly $p$-smooth Banach space
and $w$ any positive weight. We show that $\mathbb{E} (f^* \cdot w) \lesssim
\mathbb{E}(S_p f \cdot w^*)$, where $\cdot^*$ is the martingale maximal
operator and $S_p$ is the $\ell^p$ sum of martingale increments.

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The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: physics
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an