Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\ell^p\big(\mathbb Z^d\big)$-estimates for discrete operators of Radon
  type: Maximal functions and vector-valued estimates   We prove $\ell^p\big(\mathbb Z^d\big)$ bounds, for $p\in(1, \infty)$, of
discrete maximal functions corresponding to averaging operators and truncated
singular integrals of Radon type, and their applications to pointwise ergodic
theory. Our new approach is based on a unified analysis of both types of
operators, and also yields an extension to the vector-valued form of these
results.

4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess