Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp transference principle for $\mathrm{BMO}$ and $A_p$   We provide a version of the transference principle. It says that certain
optimization problems for functions on the circle, the interval, and the line
have the same answers. In particular, we show that the sharp constants in the
John--Nirenberg inequalities for naturally defined $\mathrm{BMO}$-spaces on the
circle, the interval, and the line coincide. The same principle holds true for
the Reverse H\"older inequality for Muckenhoupt weights.

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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int