Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted and vector-valued variational estimates for ergodic averages   We prove weighted and vector-valued variational estimates for ergodic
averages on $\mathbb{R}^d$. The weighted square function estimate relating
ergodic averages to the dyadic martingale is obtained using an $\ell^r$ version
of a reverse H\"older inequality for variation seminorms.

34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci