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arXiv · 2308.01782

Unified weighted Hardy-type inequalities

Durvudkhan Suragan·Nurgissa Yessirkegenov
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Abstract

We present a unified approach to obtain Hardy-type inequalities in the context of nilpotent Lie groups with sharp constants. The unified methodology employed herein allows for exploration of the sharp Hardy inequalities on various Lie group structures and improves previously known inequalities even in the classical Euclidean setting. By leveraging this framework, as an application, we derive new Caffarelli-Kohn-Nirenberg type inequalities both in the classical Euclidean setting and on general homogeneous Lie groups.

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Durvudkhan Suragan, Nurgissa Yessirkegenov. 2023-08-03. Unified weighted Hardy-type inequalities. https://arxiv.org/abs/2308.01782

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