Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A recursive bound for a Kakeya-type maximal operator   A (d,k) set is a subset of R^d containing a translate of every k-dimensional
plane. Bourgain showed that for 2^{k-1}+k \geq d, every (d,k) set has positive
Lebesgue measure. We give an L^p bound for the corresponding maximal operator.

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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: supr-con
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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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: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph