Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded holomorphic functional calculus for nonsymmetric
  Ornstein-Uhlenbeck operators   We study bounded holomorphic functional calculus for nonsymmetric infinite
dimensional Ornstein-Uhlenbeck operators ${\mathscr L}$. We prove that if
$-{\mathscr L}$ generates an analytic semigroup on $L^{2}(\gamma_{\infty})$,
then ${\mathscr L}$ has bounded holomorphic functional calculus on
$L^{r}(\gamma_{\infty})$, $1<r<\infty$, in any sector of angle
$\theta>\theta^{*}_{r}$, where $\gamma_{\infty}$ is the associated invariant
measure and $\theta^{*}_{r}$ the sectoriality angle of ${\mathscr L}$ on
$L^{r}(\gamma_{\infty})$. The angle $\theta^{*}_{r}$ is optimal. In particular
our result applies to any nondegenerate finite dimensional Ornstein-Uhlenbeck
operator, with dimension-free estimates.

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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: stat