Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The weak-type $(1,1)$ of Fourier integral operators of order $-(n-1)/2$   Let $T$ be a Fourier integral operator on $\R^n$ of order $-(n-1)/2$. It was
shown by Seeger, Sogge, and Stein that $T$ mapped the Hardy space $H^1$ to
$L^1$. In this note we show that $T$ is also of weak-type $(1,1)$. The main
ideas are a decomposition of $T$ into non-degenerate and degenerate components,
and a factorization of the non-degenerate portion.

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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an