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arXiv · 2508.01176

Generalized affine Hardy-Littlewood-Sobolev inequalities

Youjiang Lin·Jinghong Zhou·Jiaming Lan
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Abstract

We establishe an affine Hardy-Littlewood-Sobolev inequality concerning two different functions which is stronger than the classical Hardy-Littlewood-Sobolev inequality. Furthermore, we also prove reverse inequalities for the new inequalities for log-concave functions.

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Youjiang Lin, Jinghong Zhou, Jiaming Lan. 2025-08-02. Generalized affine Hardy-Littlewood-Sobolev inequalities. https://arxiv.org/abs/2508.01176

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