Generalized affine Hardy-Littlewood-Sobolev inequalities
Functional Analysis
2025-08-05 v1
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.
Keywords
Cite
@article{arxiv.2508.01176,
title = {Generalized affine Hardy-Littlewood-Sobolev inequalities},
author = {Youjiang Lin and Jinghong Zhou and Jiaming Lan},
journal= {arXiv preprint arXiv:2508.01176},
year = {2025}
}