Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reverse H\"older Property for strong weights and general measures   We present dimension-free reverse H\"older inequalities for strong $A^*_p$
weights, $1\le p < \infty$. We also provide a proof for the full range of local
integrability of $A_1^*$ weights. The common ingredient is a multidimensional
version of Riesz's "rising sun" lemma. Our results are valid for any
nonnegative Radon measure with no atoms. For $p=\infty$, we also provide a
reverse H\"older inequality for certain product measures. As a corollary we
derive mixed $A_p^*-A_\infty^*$ weighted estimates.

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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-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: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: cs