Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: UMD Banach spaces and the maximal regularity for the square root of
  several operators   In this paper we prove that the maximal $L^p$-regularity property on the
interval $(0,T)$, $T>0$, for Cauchy problems associated with the square root of
Hermite, Bessel or Laguerre type operators on $L^2(\Omega, d\mu; X),$
characterizes the UMD property for the Banach space $X$.

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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph