Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on the relationship $1/p = 1/p_1 + 1/p_2$ for boundedness of
  bilinear pseudo-differential operators with exotic symbols   We consider the bilinear pseudo-differential operators with symbols in the
bilinear H\"ormander classes $BS_{\rho, \rho}^m$, $0 < \rho < 1$. In this
paper, we show that the condition $1/p = 1/p_1 + 1/p_2$ is necessary when we
consider the boudnedness from $H^{p_1} \times H^{p_2}$ to $L^p$ of those
operators for the critical case.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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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: cmp-lg
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph