Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimension free boundedness of Riesz transforms for the Grushin operator   Let $G = - \Delta_{\xi} - |\xi|^2 \frac{\partial^2}{\partial \eta^2}$ be the
Grushin operator on $\R^n \times \R.$ We prove that the Riesz transforms
associated to this operator are bounded on $L^p (\R^{n+1}), 1 < p < \infty$ and
their norms are independent of the dimension $n$.

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The categories of this paper are: adap-org
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The categories of this paper are: cs
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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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: physics
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The categories of this paper are: solv-int