Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jump inequalities via real interpolation   Jump inequalities are the $r=2$ endpoint of L\'epingle's inequality for
$r$-variation of martingales. Extending earlier work by Pisier and Xu we
interpret these inequalities in terms of Banach spaces which are real
interpolation spaces. This interpretation is used to prove endpoint jump
estimates for vector-valued martingales and doubly stochastic operators as well
as to pass via sampling from $\mathbb{R}^{d}$ to $\mathbb{Z}^{d}$ for jump
estimates for Fourier multipliers.

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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex