Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Off-singularity bounds and Hardy spaces for Fourier integral operators   We define a scale of Hardy spaces $\mathcal{H}^{p}_{FIO}(\mathbb{R}^{n})$,
$p\in[1,\infty]$, that are invariant under suitable Fourier integral operators
of order zero. This builds on work by Smith for $p=1$. We also introduce a
notion of off-singularity decay for kernels on the cosphere bundle of
$\mathbb{R}^{n}$, and we combine this with wave packet transforms and tent
spaces over the cosphere bundle to develop a full Hardy space theory for
oscillatory integral operators. In the process we extend the known results
about $L^{p}$-boundedness of Fourier integral operators, from local boundedness
to global boundedness for a larger class of symbols.

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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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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: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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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: quant-ph
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The categories of this paper are: eess