Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Burkholder/Rosenthal inequalities associated with convex
  functions   We prove noncommutative martingale inequalities associated with convex
functions. More precisely, we obtain $\Phi$-moment analogues of the
noncommutative Burkholder inequalities and the noncommutative Rosenthal
inequalities for any convex Orlicz function $\Phi$ whose Matuzewska-Orlicz
indices $p_\Phi$ and $q_\Phi$ are such that $1<p_\Phi\leq q_\Phi <2$ or
$2<p_\Phi \leq q_\Phi<\infty$. These results generalize the noncommutative
Burkholder/Rosenthal inequalities due to Junge and Xu.

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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: adap-org