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arXiv · 1810.11439

Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups

Aidyn Kassymov·Michael Ruzhansky·Durvudkhan Suragan
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Abstract

In this note we prove the Stein-Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogeneous norms play a key role in our proofs. Also, we give a simple proof of the Hardy-Littlewood-Sobolev inequality on general homogeneous Lie groups.

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Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan. 2018-10-26. Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. https://arxiv.org/abs/1810.11439

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