Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp $\left( H_{p},L_{p}\right) $ type inequalities of maximal
  operators of $T$ means with respect to Vilenkin systems with monotone
  coefficients   In this paper we prove and discuss some new $\left( H_{p},L_{p}\right)$ type
inequalities of maximal operators of $T$ means with respect to the Vilenkin
systems with monotone coefficients. We also apply these inequalities to prove
strong convergence theorems of such $T$ means. We also show that these results
are the best possible in a special sense. As applications, both some well-known
and new results are pointed out.

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The categories of this paper are: mtrl-th
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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: alg-geom
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The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol