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arXiv · 1512.01112

Reverse Hölder Property for strong weights and general measures

Teresa Luque·Carlos Pérez·Ezequiel Rela
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Abstract

We present dimension-free reverse Hölder 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 Hölder inequality for certain product measures. As a corollary we derive mixed $A_p^*-A_\infty^*$ weighted estimates.

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Teresa Luque, Carlos Pérez, Ezequiel Rela. 2015-12-04. Reverse Hölder Property for strong weights and general measures. https://arxiv.org/abs/1512.01112

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