Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L_p- and S_{p,q}^rB-discrepancy of the symmetrized van der Corput
  sequence and modified Hammersley point sets in arbitrary bases   We study the local discrepancy of a symmetrized version of the well-known van
der Corput sequence and of modified two-dimensional Hammersley point sets in
arbitrary base $b$. We give upper bounds on the norm of the local discrepancy
in Besov spaces of dominating mixed smoothness $S_{pq}^rB([0,1)^s)$, which will
also give us bounds on the $L_p$-discrepancy. Our sequence and point sets will
achieve the known optimal order for the $L_p$- and $S_{pq}^rB$-discrepancy. The
results in this paper generalize several previous results on $L_p$- and
$S_{pq}^rB$-discrepancy estimates and provide a sharp upper bound on the
$S_{pq}^rB$-discrepancy of one-dimensional sequences for $r>0$. We will use the
$b$-adic Haar function system in the proofs.

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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: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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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: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con