Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bohnenblust-Hille inequalities for Lorentz spaces via interpolation   We prove that the Lorentz sequence space $\ell_{\frac{2m}{m+1},1}$ is, in
a~precise sense, optimal among all symmetric Banach sequence spaces satisfying
a Bohnenblust-Hille type inequality for $m$-linear forms or $m$-homogeneous
polynomials on $\mathbb{C}^n$. Motivated by this result we develop methods for
dealing with subtle Bohnenblust-Hille type inequalities in the setting of
Lorentz spaces. Based on an interpolation approach and the Blei-Fournier
inequalities involving mixed type spaces, we prove multilinear and polynomial
Bohnenblust-Hille type inequalities in Lorentz spaces with subpolynomial and
subexponential constants. Improving a remarkable result of
Balasubramanian-Calado-Queff\'elec, we show an application to the theory of
Dirichlet series.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an