Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"ormander condition for pseudo-multipliers associated to the harmonic
  oscillator   In this paper we prove H\"ormander-Mihlin multiplier theorems for
pseudo-multipliers associated to the harmonic oscillator (also called the
Hermite operator). Our approach can be extended to also obtain the
$L^p$-boundedness results for multilinear pseudo-multipliers. By using the
Littlewood-Paley theorem associated to the harmonic oscillator we also give
$L^p$-boundedness and $L^p$-compactness properties for multipliers.
$(L^p,L^q)$-estimates for spectral pseudo-multipliers also are investigated.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph