Generalized affine Hardy-Littlewood-Sobolev inequalities

Published 2 Aug 2025 in math.FA | (2508.01176v1)

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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